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  • Articles  (589)
  • Engineering General  (539)
  • oxidation  (50)
  • 1985-1989  (589)
  • 1950-1954
  • Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics  (589)
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  • Articles  (589)
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  • 1
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    Springer
    Plasma chemistry and plasma processing 6 (1986), S. 27-38 
    ISSN: 1572-8986
    Keywords: AC discharge ; discharge chemistry ; hydrogen cyanide ; cyanogen ; chemiluminescence ; oxidation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Technology
    Notes: Abstract The AC high-voltage discharge-induced decomposition chemistry of trace levels of hydrogen cyanide in helium has been studied. In the absence of oxygen only low levels of molecular nitrogen were evolved. With oxygen added, the principal products were CO, CO2, and N2. No significant concentrations of NO or N2O were observed. The response of a commercial NOx analyzer to HCN and C2N2, in the NOx mode, was determined to be linear through three decades in concentration. The oxidation chemistry of HCN and C2N2 in the stainless steel converter of the analyzer was studied as a function of the amount of added oxygen.
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  • 2
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    Oxidation of metals 28 (1987), S. 195-211 
    ISSN: 1573-4889
    Keywords: Uranium ; corrosion ; oxidation ; liquid metal
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The reactions of water vapor and oxygen with liquid uranium were studied by modulated molecular-beam mass spectrometric methods. Equivalent pressures of the reactant fluxes on the surface ranged from 6×10 −6 to 2×10−4 torr. Temperatures up to 1570 K were investigated. The metal surface was kept clean during reaction by mechanical removal of the oxide formed with a tungsten needle. For the clean liquid uranium surface, a water reaction probability of ∼0.4 was deduced both from measurement of the reaction-product hydrogen signal and by the temperature dependence of the scattered reactant signal. Based solely on the latter measure, a reaction probability of 0.6 was estimated for oxygen. The reaction probabilities on the clean surface were temperatureindependent. They decreased as the coverage of the surface by islands of oxide increased and, for water, appeared to approach a value of 0.08 for a surface completely covered with an oxide estimated to be 500 Å thick. Bombardment of the surface during reaction with argon ions produced an increase in the reactivity on solid uranium but had a negligible effect on the reaction probability for the liquid.
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  • 3
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    Oxidation of metals 28 (1987), S. 353-389 
    ISSN: 1573-4889
    Keywords: Grain growth ; nickel oxide ; high temperature ; oxidation ; nickel
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract In systems such as the oxidation of nickel, in which grain-boundary diffusion in the oxide can control the rate of oxidation, understanding of the factors governing the grain structure is of importance. High-purity mechanically polished polycrystalline nickel was oxidized at 700°C, 800°C, and 1000°C for times up to 20 hr in 1 atm O2. The scale microstructures were examined by parallel and transverse cross section transmission electron microscopy (TEM) and scanning electron microscopy (SEM). Texture coefficients were found by X-ray diffraction (XRD). Each grain in the transverse section grain boundary networks was systematically analyzed for width parallel to the Ni-NiO interface and perpendicular length, for boundary radius of curvature and for number of sides. The variation of these parameters with depth in the scale was examined. In particular, grains were increasingly columnar (i.e., with ratio of grain length to width 〉1) at higher temperatures and longer times. Columnar grain boundaries tended to be fairly static; the columnar grain width was less than the rate controlling grain size predicted from the oxidation rate. The mean boundary curvature per grain provided a guide to the tendency for grain growth, except in the region of the Ni-NiO interface, where the boundaries were thought to be pinned.
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  • 4
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    Oxidation of metals 24 (1985), S. 133-148 
    ISSN: 1573-4889
    Keywords: oxidation ; nickel ; yttrium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation of Ni, Ni-0.1 wt.% Y, and Ni-0.3 wt.% Y alloys was carried out in the temperature range 500–900°C at pO 2= 1 atm.
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  • 5
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    Oxidation of metals 24 (1985), S. 177-197 
    ISSN: 1573-4889
    Keywords: oxidation ; short-circuit diffusion ; nickel ; chromium ; binary Ni-Cr alloys
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The evidence for short-circuit diffusion during the oxidation of nickel, chromium, and nickel-chromium alloys is reviewed. On the basis of experimental evidence for the Ni/NiO and Cr/Cr2O3 systems, inferences are made about the role of short-circuit diffusion through the oxide scales forming on the binary nickel-chromium alloys. The review highlights the importance of scale microstructure in governing oxidation rates.
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  • 6
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    Oxidation of metals 26 (1986), S. 139-155 
    ISSN: 1573-4889
    Keywords: oxidation ; Co-Cr-Ti alloys ; kinetics ; scale morphology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Cobalt-based alloys containing 3,5,10,15, and 20% Cr with 1 and 3% Ti were oxidized at 1000°C in slowly flowing oxygen gas. In general, titanium additions decreased the oxidation rate with the most pronounced effect being observed at the 10% Cr level. Titanium accelerated the formation of Cr2O3 layers at the metal-oxide interface. Faceted CrxTiyOz spinel particles were found at the metal-oxide interface which varied in composition according to microprobe results. There was no evidence of spalling on the Co-Cr-Ti alloys studied in contrast to the severe spalling normally encountered in Ni-Cr-Ti alloys. Distinct morphological differences existed on the outer CoO layer of the 1% Ti alloys in comparison to the O and 3% Ti alloys.
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  • 7
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    Oxidation of metals 26 (1986), S. 305-314 
    ISSN: 1573-4889
    Keywords: oxidation ; metals ; high temperatures ; oxidation theory ; oxidation kinetics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A theoretical study on the high-temperature oxidation of thick oxide films grown under a time-dependent gas partial pressure is reported. The diffusion across the film is assumed to be the rate-limiting step of the overall reaction, and Wagner's hypotheses were used as the starting point for our reasoning. A general formulation for the oxidation under no time constant gas pressure, in terms of a time-dependent answer function is given. The effect of an external electric field on the reaction rate is also reported when a constant current density,J, is applied to the oxide scale. If the oxide is a good electronic conductor atJ=0 andt ≫ τ, we found that the reaction rate assumes formally the well-known Wagner's expression of the rate constant but with a gas partial pressure at oxide/gas interface which is a time function. If the oxide is a good ionic or electronic conductor, the effect due to an external electric field,J ≠ 0, on the reaction rate is the same as predicted by the Wagner's theory.
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  • 8
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    Oxidation of metals 26 (1986), S. 201-212 
    ISSN: 1573-4889
    Keywords: chromium ; NaCl ; chloride ; oxidation ; hot corrosion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper describes new phenomena about chloride-induced accelerated oxidation of chromium. Thermal analysis was adopted to examine the oxidation, which was studied particularly in the case of NaCl. The presence of NaCl remarkably accelerates the oxidation of chromium. The process occurs below the melting point of NaCl, and the main reaction product is Cr2O3. In the accelerated oxidation NaCl plays a catalytic role because it is not consumed significantly in the process. DTA analysis reveals that the heat of reaction also accelerates the rate of oxidation, especially at an early stage of the reaction. The accelerated oxidation takes place similarly under the presence of chlorides other than NaCl, but the oxidation rate depends on the kind of salt. Therefore the Cl− anion plays an important role in the process, while the nature of the cation affects the rate of acceleration.
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  • 9
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    Oxidation of metals 26 (1986), S. 231-252 
    ISSN: 1573-4889
    Keywords: oxidation ; titanium ; thermogravimetry ; microhardness ; modeling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation kinetics of commercial purity Ti-A55 exposed to laboratory air in the 593–760°C temperature range were continuously monitored by thermogravimetric analysis. The oxide thickness was measured by microscopy and the substrate contamination was estimated from microhardness measurements. The microhardness depth profiles were converted to oxygen composition profiles using calibration data. The oxygen diffusion coefficient in alpha-Ti appears to be approximately concentration independent in the 1–10 at. % oxygen range. The combination of an “effective diffusion coefficient” and an “effective solubility” at the oxide-metal interface usefully describes the diffusion process over the entire composition range. A model for the total parabolic oxidation kinetics, accounting for the two individual components, oxide growth and solid solution formation, has been proposed. Diffusion coefficient for oxygen in TiO2 has been estimated as a function of temperature and is found to be about 50 times the value in alpha-Ti. The metallographically prepared cross-sections of the oxidized specimens revealed a “moving boundary” in the substrate, parallel to the oxide-metal interface. This boundary was associated with a specific oxygen level of 5.0±0.5 at.%. It occurred at a distance from the oxide-metal interface which was correlatable with temperature and time of exposure. The diffusion coefficient corresponding to the composition of this moving boundary is in excellent agreement with the effective diffusion coefficient for the substrate contamination.
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  • 10
    ISSN: 1573-4889
    Keywords: Raman microscopy ; Fe-Cr alloys ; oxidation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Raman microscopy has been used to study the nature and distribution of corrosion products formed on iron and iron-chromium alloys in air at high temperatures. Fe and Fe-Cr alloys containing 2, 5, 14, and 18% Cr were oxidized at 400, 600, and 850°C for 2 hr, in addition samples of each alloy were oxidized for 24 hr at 400°C to obtain thicker scales at this temperature. The corroded samples showed varying distributions of the oxides Fe2O3, Fe3O4, Cr2O3, and FeCr2O4. Fe2O3 and Fe3O4 were formed exclusively on the pure iron and the 2 and 5% chromium alloys at all temperatures and on the 14% chromium alloy at 400°C. The 14 and 18% Cr alloys formed scales containing Cr2O3 and FeCr2O4 at the higher temperatures (600 and 850°C). Examples of small regions of Fe2O3 being formed within Cr2O3-FeCr2O4 scales are suggested as possible indications of breakaway corrosion initiation sites.
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  • 11
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    Oxidation of metals 27 (1987), S. 83-93 
    ISSN: 1573-4889
    Keywords: silicon carbide ; oxidation ; constructional ceramics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The process of high temperature oxidation of two silicon carbide based materials differing by methods of their production and properties has been studied up to 1500°C in air. The oxidation was performed under the isothermal conditions and at the programmed heat rate of 10° per minute. It was found that the oxidation resistance of the material was the function of the presence of extrinsic metals having close affinity for oxygen. It was also found that under heating up to 1500°C in air phase transitions occurred in the SiC surface layer.
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  • 12
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    Oxidation of metals 26 (1986), S. 385-396 
    ISSN: 1573-4889
    Keywords: coatings ; oxidation ; rare earth addition ; dispersed oxides ; scale adhesion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Oxidation studies were conducted on plasma sprayed coatings of Ni-20Cr-12.5Al containing one of the following: 1% MgO, 1% La2O3, 1% Y2O3, and 0.8% Y. The alloy powders containing dispersed oxides were prepared by a variety of processes employing attrition and ball milling. The TEM characterization of the plasma sprayed deposits of Ni-20Cr-12.5Al-1Y2O3 indicated that the oxide particles ranged from almost pure aluminum oxide to various compounds of aluminum and yttrium oxide. In cyclic tests conducted at 1150 and 1225°C, the coating containing 1% Y2O3 appeared to provide the best oxidation resistance. The oxidation resistance appeared to be influenced by the size and distribution of the oxide particles.
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  • 13
    ISSN: 1573-4889
    Keywords: oxidation ; adhesion ; growth-mechanisms ; impurities ; sulfur
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The “sulfur effect” theory proposes that elements such as sulfur segregate to the scale-metal interface, where they have a deleterious effect on scale-metal adhesion, and that reactive elements and dispersions of their oxides are beneficial because they prevent this segregation. Evidence in favor of this theory has been obtained by showing that the adhesion of the scale formed on chromium in 0.1 atm. oxygen at 950°C. is greatly improved if the chromium is annealed beforehand in hydrogen instead of in vacuo. It is shown that the theory can explain not only all the experimental observations regarding the beneficial effects of reactive elements and their oxides on scale-metal adhesion, but also their effects on scale growth-mechanisms.
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  • 14
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    Oxidation of metals 26 (1986), S. 105-124 
    ISSN: 1573-4889
    Keywords: oxidation ; titanium ; thermogravimetry ; microhardness ; modeling ; mechanical properties ; space shuttle reentry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Ti-6Al-2Sn-4Zr-2Mo titanium alloy is a candidate material for multiwall thermal protection system concepts for advanced space transportation system vehicles. The total oxidation kinetics for this alloy, exposed to laboratory air in the 593–760°C range, were monitored by thermogravimetric analysis. The oxide thickness was measured by microscopy and the substrate contamination was estimated from microhardness measurements. Tensile elongation was determined for selected foil specimens after exposure to simulated space shuttle reentry conditions. The variation of total weight gain with time was found to have two distinct parabolic stages separated by a transient region. This transient was due to a process which involved an increase in the parabolic growth rate constant for the oxide and a simultaneous increase in oxygen solubility at the oxide metal interface. The time dependent increase in oxygen solubility at the interface was from about 7 at. % in stage 1 to about 18 at. % in stage 2. The diffusion coefficient for oxygen in the alloy was determined as a function of temperature using the difference between the total weight gain in stage 1 and the corresponding weight gain due to oxide growth. A model for the total oxidation kinetics, accounting for the two individual components namely oxide growth and solid solution formation, is proposed. The activation energy for the diffusion of oxygen in the alpha-solid solution is shown to be roughly equal to the activation energy for the degradation of tensile elongation for the alloy in the foil gage condition.
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  • 15
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    Oxidation of metals 26 (1986), S. 315-332 
    ISSN: 1573-4889
    Keywords: oxidation ; multilayer oxides ; oxidation kinetics theory ; diffusion mechanisms ; iron
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A quantitative theory for the growth of three-layered oxide scales on pure metals that form MevO, MeδO, and MeɛO has been developed. The theoretical parabolic rate constants,K p (MevO),K p (MeδO), andK p (MeɛO), for the simultaneous growth of each oxide on metals are related to oxidation data of the overall rate constant,K p , and the oxide thickness ratios. These theoretical parabolic rate constants can also be calculated from diffusion data in each oxide, and the oxide thickness ratios can therefore be predicted. To verify the validity of the theory, it was applied to the oxidation of iron in air at temperatures of 800 to 1200° C. Good agreement was found between the theoretical parabolic rate constants calculated from oxidation data and from diffusion data for wustite and magnetite. However, to match with the rate constant calculated from oxidation data, additional information about short-circuit diffusion in hematite is required.
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  • 16
    ISSN: 1573-4889
    Keywords: oxidation ; steam ; Ni-base superalloy ; Al oxides ; Ti oxides
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The role of aluminum and titanium on the oxidation process of a nickel-base superalloy containing 18.89%Cr, 2.13%Al, and 2.41%Ti was investigated in steam at 800°C. A Cr2O3-rich scale was formed on the alloy surface. Aluminum formed only internal oxides below the Cr2O3-rich scale. On the other hand, titanium formed not only internal oxides but also oxides in the scale and the granular particles of TiO2 outside the scale. Agglomeration of the TiO2 particles also occurred. The oxidation behavior of aluminum and titanium was discussed from thermodynamic and kinetics aspects.
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  • 17
    ISSN: 1573-4889
    Keywords: laser treatment ; chromia scales ; oxidation ; nickel-chromium alloys ; laser glazing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The influence of laser surface treatment on the isothermal oxidation of Ni-10%Cr and Ni-15%Cr at 1025°C in oxygen at 1 atm pressure has been studied. Particular emphasis has been placed on the progressive establishment of a Cr2O3 healing layer, which is facilitated by rapid-diffusion paths for chromium to the surface from the bulk alloy. For nonlaser treated alloys, such paths are alloy grain boundaries. A partial Cr2O3 layer forms initially in localized sites at, and immediately adjacent to, these boundaries and progresses into the alloy grains in a stepwise manner following lateral diffusion of chromium from the grain boundaries, thereby developing a contoured configuration. For Ni-15%Cr, there is sufficient chromium in the bulk alloy grains to sustain the eventual development of a self-healing layer parallel to the surface. For Ni-10%Cr, this is not the case and complete development of the healing layer results entirely from the stepwise progression from the grain boundaries. Establishment of the healing layer on laser-glazed surfaces is facilitated by additional rapid-diffusion paths, particularly retained alloy grain boundaries, retained alloy twins, a laser-induced microstructure and solidification artifacts (such as ripples). The relative importance of these features is discussed in relation to the oxidation behavior.
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  • 18
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    Oxidation of metals 27 (1987), S. 95-102 
    ISSN: 1573-4889
    Keywords: oxidation ; acoustic emission technqiue ; copper
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The acoustic emission technique has been utilized as an alternative technique to thermogravimetry to study the anomalous behavior of copper metal oxidation at 500°C The present work demonstrates an excellent example of the application of this technique in detecting cracks in growing oxide films.
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  • 19
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    Oxidation of metals 29 (1988), S. 487-497 
    ISSN: 1573-4889
    Keywords: Alloy ; oxidation ; platinum ; palladium ; rhodium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The surfaces of Pt-45Pd-10Rh foils oxidized over the range 875–1075 K in a 20% O2-Ar mixture at atmospheric pressure were examined by Auger electron, X-ray photoelectron, and Raman spectroscopy. The composition of the oxide formed on the surface was found to vary with temperature from predominantly PdO at 875 K to PdRhO2 at 1075 K. Only a few atomic percent Pt was observed, present in both the metallic and (apparently) +1 oxidation states at 875 K and in the metallic state at 1075 K. The formation of PdRhO2 (and no Rh2O3) at 1075 K was found to persist upon reoxidation following a low-temperature reduction cycle in which the increased Rh concentration on the surface was retained. An oxidation-induced Rh enrichment of the surface of the alloy foil beyond 50 at. % does not appear likely within the temperature/pressure regime investigated.
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  • 20
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    Oxidation of metals 31 (1989), S. 71-89 
    ISSN: 1573-4889
    Keywords: oxidation ; duplex NiO scale ; segregation ; 18O tracer ; secondary ion-mass spectrometry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The development of a duplex NiO scale microstructure on a Ni-0.1 wt.% Al alloy at 900°C has been examined, principally using secondary-ion mass spectrometry and analytical transmission electron microscopy. The18O-tracer distribution following sequential oxidation in18O2/18O2 showed that the inner NiO layer formed as a result of gaseous-oxygen penetration of the scale. The provision of pathways for oxygen transport as well as the role of Al, Si, and Ce segregation at oxide grain boundaries in influencing the growth rate and spallation behavior of the scale are discussed.
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  • 21
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    Oxidation of metals 31 (1989), S. 431-452 
    ISSN: 1573-4889
    Keywords: aluminides ; oxidation ; TEM cross sections
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Cross sections of oxide scale/(Ni-Al) intermetallics were prepared by a new method and studied using primarily transmission electron microscopy (TEM). The cross sections were prepared by encasing an oxidized metal specimen sandwich in a low-melting-temperature zinc alloy. Observations of oxidized zirconium-doped β-NiAl cross sections revealed crystallographic voids beneath an adherent Al2O3 scale. The oxide-metal interface was incoherent, but a high dislocation density in the metal near the interface suggested that a large tensile stress was induced by the attached oxide scale. A duplex Al2O3-NiAl2O4 scale formed on zirconium-doped and zirconium/boron-doped γ′-Ni3Al alloys. Additional results are presented involving oxidation mechanisms and oxide-metal interface structures.
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  • 22
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    Oxidation of metals 32 (1989), S. 317-335 
    ISSN: 1573-4889
    Keywords: 316L austenitic stainless steel ; porosity ; various additions in stainless steel ; oxidation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation behavior of sintered 316L austenitic stainless steel-Y2O3 composites and the effect of various additions, such as copper (up to 3 wt.%), bronze (up to 3 wt.%), phosphorus (up to 2 wt.%), and silicon (up to 5 wt.%) have been studied at 550°C inflowing oxygen at one atmosphere pressure for a maximum period of 9 hr. Among all the alloys studied, 316L-1% P showed excellent oxidation resistance. Under the general conditions, Cr2O3 is always the preferred protective scale. In general, Y2O3-containing composites showed greater oxidation as compared to 316L with other additions.
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  • 23
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    Oxidation of metals 32 (1989), S. 295-316 
    ISSN: 1573-4889
    Keywords: Fe-base superalloy ; oxidation ; corrosion in water vapor ; creep rupture strength in water vapor
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation kinetics and creep behavior of Incoloy 800 were studied in air and in water vapor charged with oxygen. Oxidation kinetics were determined by thermogravimetry. The creep behavior of samples tested in air and in H2O∶O2=1∶1 atmospheres was investigated by electron microscopic techniques. The oxidation rate of samples tested in air was governed by a p-conducting chromia interlayer. Depending upon water vapor pressure, chromia became n-conductive. As a consequence, a continuous rate-governing silica interlayer formed. The oxygen activity in the alloy was established by the dissociative pressure of the respective diffusion-rate-governing oxide scale. The stability of the dispersion-hardening Ti(C, N) particulates within the alloy was affected by the respective oxygen activity. In the samples tested in air, partial oxidation of the particulates due to enhanced oxygen activity caused a loss of coherency with the matrix. As a result, the deformation behavior during creep was changed to planar-slip mode, bringing about loss of creep resistance and ductility.
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  • 24
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    Oxidation of metals 23 (1985), S. 17-33 
    ISSN: 1573-4889
    Keywords: Cold work ; oxidation ; spinel ; 21/4 Cr-1 Mo steel
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The effect of cold work on the oxidation rate of 21/4 Cr-1 Mo steel in pure oxygen at 1 atm pressure at temperatures ranging from 400 to 950
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  • 25
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    Oxidation of metals 24 (1985), S. 233-263 
    ISSN: 1573-4889
    Keywords: oxidation ; carbide dispersion ; iron-base alloys ; decarburization ; thermodynamic stability ; oxidation resistance
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation behavior of Fe-5M-C alloys (where M is Si, Ti, V, Nb, Ta, Cr, W, or Ni, and C is 0, 0.1, 0.4, 0.8 or 1.2 wt.%) has been studied in the temperature range of 600–850°C in one atmospheric pressure of oxygen. Except for Si-containing alloys, all the alloys exhibited a parabolic rate law during oxidation, and the oxidation rate increased with increasing carbon content. The deviations from the above generalization can be explained on the basis of either phase composition of the alloy matrix at the oxidation temperature or carbon losses incurred during oxidation. Alloys rich in carbide phases have much lower oxidation rates than alloys containing solid-solution phases. This has been attributed to the decrease in mobility of carbon in iron-base alloys in the presence of a carbide-formin addition. The disruption of the oxide scales, which is the result of decarburization, also influences the oxidation behavior of iron-base alloys. At the 1.2% C level, the parabolic rate constant, Kp, follows the order: $$Fe - 5Cr 〉 Fe 〉 Fe - 5Ni 〉 Fe - 5Ti 〉 Fe - 5Ta 〉 Fe - 5Nb 〉 Fe - 5V 〉 Fe - 5W$$ The order is approximately similar to the increasing free energy sequence for the oxidation of carbides to oxides in Fe-5M-C alloys.
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  • 26
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    Oxidation of metals 24 (1985), S. 331-350 
    ISSN: 1573-4889
    Keywords: oxidation ; initial stages ; reactive element addition ; oxide grain growth
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Structural Fe-Cr-Ni alloys rely upon a thermally formed, protective, surface oxide scale to prevent rapid corrosive degradation. The protective capacity of the surface scale may be strongly influenced by the alloy composition, with minor additions of reactive elements playing an important role in the initial stages of scale formation. The influence of an addition of Zr on initial scale growth on an Fe-Cr-Ni alloy has been investigated in situ utilizing an environmental cell incorporated into a high-voltage electron microscope. Oxidation experiments were conducted on a pure ternary Fe-Cr-Ni alloy and one containing 6 wt.% Zr for durations up to 1800 s. At 500°C in a low oxygen-partialpressure environment, a continuous surface oxide layer formed more quickly on the Zr-free alloy than on the Zr-modified alloy. Also, on the Zr-modified alloy, the scale was richer in Cr, and the rate of increase in oxide grain size was also greater.
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  • 27
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    Oxidation of metals 23 (1985), S. 77-106 
    ISSN: 1573-4889
    Keywords: cobalt-chromium ; oxidation ; internal oxidation ; annealing
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The influence of an initial preinternal oxidation treatment in Co/CoO on the subsequent oxidation behavior of a series of dilute Co-Cr alloys (containing 0–1.5 wt. % Cr) in 105 and 103 Pa oxygen at 1473–1623 Khas been investigated. Particular emphasis has been placed on determining the solubility and mobility of Cr3+ ions in CoO. Use has been made of subsequent annealing in argon $$(p_{O_2 } - 10^{ - 1} {\text{ }}Pa)$$ .
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  • 28
    ISSN: 1573-4889
    Keywords: grain boundary diffusion ; nickel oxide ; oxidation ; active element
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract NiO scales were formed on pure Ni and Ni-0.1 wt.% Y alloy by oxidation in pure O2 at 1200°C, and the grain boundary self-diffusion coefficients of Ni in the dense region of the scale were measured by the tracer-sectioning technique. The volume diffusion coefficient was also measured in the alloy scale. The grain boundary and volume diffusion coefficients and the grain boundary width were found to be the same for the two materials within the experimental uncertainty.
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  • 29
    ISSN: 1573-4889
    Keywords: oxidation ; Y2O3 ; dispersoid ; 80Ni-20Cr ; nucleation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Specimens of a 80Ni-20Cr type alloy, with and without Y2O3 dispersoid particles, were oxidized at 1000°C in H2/H2O mixtures where the partial pressure of oxygen (P O 2) was varied between 103 and 1024 atm. Oxide particles nucleated homogeneously on both alloys, and preferential nucleation on dispersoid particles at the surface was not observed. Continuous Cr2O3 films formed slightly faster at aP O 2 of 10−21 atm on the alloy containing the dispersoid, but the difference was negligible at higher pressures. Oxidation atP O 2=10-19 and 10−21 atm involved both the formation of Cr2O3 and the evaporation of chromium. Thin films of α-Al2O3 were observed on both alloys after oxidation atP O 2.
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  • 30
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    Oxidation of metals 25 (1986), S. 83-92 
    ISSN: 1573-4889
    Keywords: NaCl vapor ; Ni-Cr alloys ; oxidation ; scales
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Ni-Cr alloys are known for their resistance to high temperature oxidation. The kinetics of scale formation and the nature of the scale in these alloys are affected by NaCl liquid or vapor. There have been a few investigations dealing with the influence of NaCl on long-time exposure. But the nature of reaction at short times can provide information on the initiation of such attack. In this investigation, Ni-Cr alloys with Cr varying from 0 to 25 wt% were exposed to NaCl vapor at 850°C for a few minutes. The surface chemistry of these alloys along with the unattached ones was analyzed by Auger electron spectroscopy. The nature of scale and the distribution of chlorine was found to vary with the Cr content in the alloys, which has a direct bearing on the rate of oxidation of these alloys in NaCl vapor.
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  • 31
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    Oxidation of metals 29 (1988), S. 75-102 
    ISSN: 1573-4889
    Keywords: Ni-Cr-Al Alloys ; oxidation ; diffusional transport ; breakaway oxidation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The cyclic oxidation behavior of several cast γ+β, Ni-Cr-Al(Y, Zr) alloys and one LPPS γ+β, Ni-Co-Cr-Al(Y) alloy was examined (γ, fcc; β, NiAl structure). Cyclic oxidation was performed by cycling between 1200°C and approximately 70°C. Oxide morphologies and microstructural changes during cyclic oxidation were noted. Recession of the high-Al β phase was nonparabolic with time. Kirkendall porosity resulting from diffusional transport within the alloy was observed in the near-surface γ-phase layer of one alloy. Concentration profiles for Ni, Cr, and Al were measured in the γ-phase layer after various cyclic oxidation exposures. It was observed that cyclic oxidation results in a decreasing Al concentration at the oxide-metal interface due to a high demand for Al (a high rate of Al consumption) associated with oxide scale cracking and spalling. In addition, diffusion paths plotted on the ternary phase diagram shifted to higher Ni concentrations with increasing cyclic oxidation exposures. The alloy with the highest rate of Al consumption, and highest Al content, underwent breakaway oxidation after 500 1-hr cycles at 1200°C. Breakaway oxidation occurred when the Al concentration at the oxide-metal interface approached zero. The relationship between the Al transport in the alloy and breakaway oxidation is discussed.
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  • 32
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    Oxidation of metals 29 (1988), S. 225-238 
    ISSN: 1573-4889
    Keywords: Nickel ; SO2 ; oxidation ; sulfidation ; diffusion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The reaction of nickel with SO2 has been studied. The composition and morphology of the scale formed in sulfur dioxide (1.013×105 Pa) at 600°C and the transport phenomena occurring in the growing scale have been investigated. The experimental methods consisted of metallography, scanning electron microscopy, and electron microprobe analysis. The transport phenomena have been studied by the marker method and with the use of a35S radioisotope. The scale was composed of a NiO and Ni3S2 mixture and grew by the outward diffusion of nickel and inward transport of SO2 molecules through the discontinuities of the scale. It has been shown that outward transport of sulfur originating from grains of sulfide occurs.
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  • 33
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    Oxidation of metals 27 (1987), S. 103-120 
    ISSN: 1573-4889
    Keywords: oxidation ; iron ; aluminum ; silicon
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper reports an investigation into reducing the Cr concentration in commercial-grade stainless steels while maintaining oxidation protection at elevated temperatures. Aluminum and Si were added as partial substitute alloy elements to enhance the reduced operation protection resulting from Cr concentration reduced by approximately 50 pct of that found in stainless steels. The goal of this study was to determine the oxidation mechanism of such an Fe, Al-Si alloy: Fe-8Cr-14Ni-1Al-3.5Si-1Mn. During the initial oxidation period the protection resulted from a thin film of Al2O3 over an Fe and Cr spinel. Long-term oxidation protection resulted from the gradual formation of a Cr sesquioxide (Cr2O2) inner oxide layer. Eventually an outer oxide layer formed that was a mixed composition spinel of Cr and Mn (MnO · Cr2O3). The Al2O3, which was part of the original protective layer flaked off early in the oxide testing, and the aluminum oxide that formed later appeared as an internal oxide precipitate.
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  • 34
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    Oxidation of metals 30 (1988), S. 259-266 
    ISSN: 1573-4889
    Keywords: oxidation ; adhesion ; growth mechanisms ; sulfur ; impurities ; segregation
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The results of studies involving both alumina and chromia formers have demonstrated that segregation of low levels of indigenous impurity elements commonly found in metals and alloys can segregate to the scale-metal interface. Such segregation markedly affects protective-oxide-scale adherence to produce scale exfoliation. The most important element to cause exfoliation effects is sulfur, which is not uncommonly present in metals and alloys to levels of ∼50 ppm. The reduction of such sulfur to the 1–2 ppm range strongly increases oxide scale adherence without requiring additions of “active” elements, such as yttrium. The results of experiments that led to this conclusion are reiterated.
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  • 35
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    Oxidation of metals 30 (1988), S. 329-343 
    ISSN: 1573-4889
    Keywords: Fe-S-O ; Co-S-O ; oxidation ; sulfidation
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The equilibrium oxygen potentials of the two-phase equilibria Fe3O4/Fe1−xS, Co1−xS/Co3S4, Co3S4/CoS2, Co1−xS/CoO, and CoO/CoSO4 were measured as a function of temperature. A solid-state emf technique using calcia-stabilized zirconia (CSZ) solid electrolyte was used. These equilibria were studied atP SO2≃1 atm; the equilibrium Co1−xS/CoO was also studied atP SO2≃0.1 atm. Two emf cell designs were used for the measurements atP SO2≃1 atm andP SO2≃1 and 0.1 atm, respectively. The homogeneity range of FeS in equilibrium with Fe3O4 and that of Co1−xS in equilibrium with CoO at ∼ 1073 K andP SO2≃1 atm were measured by electron microprobe analysis.
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  • 36
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    Oxidation of metals 30 (1988), S. 267-269 
    ISSN: 1573-4889
    Keywords: oxidation ; adhesion ; impurities ; sulfur
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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  • 37
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    Oxidation of metals 32 (1989), S. 433-447 
    ISSN: 1573-4889
    Keywords: chromium ; oxidation ; scale failure ; scale morphology
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation kinetics of chromium at 900°C are independent of the oxygen partial pressure. Although this observation gives evidence for a defect mechanism where chromium interstitials account for the chromium transport in the oxide scale, the experimental phenomena do not support one single model. The occurrence of oxide whiskers and oxide ridges are explained by the energy of activation for the breakup of the oxidant molecule. Large oxide pegs are formed at metal multiple-grain junctions after scale breakdown.
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  • 38
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    Oxidation of metals 28 (1987), S. 73-98 
    ISSN: 1573-4889
    Keywords: chromium ; oxidation ; sulfidation ; mixed oxidants
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation of pure chromium in H2-H2O-H2S gas mixtures was studied as a function of gas composition at 900°C. Oxidation kinetics were measured using a thermogravimetric apparatus, and the oxidation products were characterized using scanning electron microscopy (SEM) and scanning transmission electron microscopy (STEM). Chromia scales formed when the H2O/H2S ratio was about 10 or greater. Scales that comprised a mixture of Cr2O3 and chromium sulfides formed when the H2O/H2S ratio was about 3, even though Cr2O3 was the thermodynamically stable phase under these conditions; i.e., a kinetic boundary exists for pure chromium in H2-H2O-H2S gas mixtures. The transition from chromia scale formation to the formation of scales containing both oxide and sulfide with a change in gas composition (decrease in the H2O/H2S ratio) is associated with an inhibition of the overgrowth of growing, metastable sulfide nuclei by the thermodynamically stable Cr2O2 phase. Presulfidation experiments confirmed that metastable chromium sulfide can continue to grow after H2O is added to the gas phase when the H2O/H2S ratio in the gas phase is less than a critical value at the temperature of interest.
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  • 39
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    Oxidation of metals 25 (1986), S. 217-234 
    ISSN: 1573-4889
    Keywords: nickel alloys ; oxidation ; sulfidation ; grain-boundary segregation ; corrosion mechanism
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The corrosion of nickel with alloy additions of Si, Fe, and/or Mn up to 4 wt% has been studied in SO 2+O2/SO3 at 700°C. All alloy additions greatly improve the corrosion resistance of nickel in oxygen-rich atmospheres (O2 with about 4% SO2); the best improvements are achieved with Si, Fe+Si, and Fe+Mn+Si additions. High-purity nickel corrodes rapidly under these conditions; the scale then consists of NiO+Ni3S2, and the sulfide forms a three-dimensional network along the grain boundaries of the NiO grains and serves as the diffusion path for rapid outward migration of nickel. From studies of the microstructure and distribution of the alloying elements in the protective scales, it is proposed that the alloying additions exert their beneficial effects by accumulating/segregating at the grain boundaries of NiO (e.g., as silicates) and thereby influence the wetting characteristics and disrupt the sulfide network.
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  • 40
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    Oxidation of metals 25 (1986), S. 235-268 
    ISSN: 1573-4889
    Keywords: oxidation ; Mn2O3 ; spinels ; manganowustite ; mechanisms ; fusion reactors
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation in air of an austenitic Fe-Mn-Cr steel containing 17.8 Mn, 9.5 Cr, 1.0 Ni, 0.27 C, and 0.03 N was studied over the range 700–1000°C. Oxidation of surface-abraded samples at “low” temperatures, 700–750°C, resulted in only Mn 2O3 containing dissolved chromium, except at corners, where large nodules containing spinel and manganowustite formed. The Mn2O3 layer grew into the substrate forming a globular-type film. This growth mode was the result of slow interdiffusion in the alloy after the cold-worked surface layer had been recrystallized and/or consumed, as evidenced by the formation of a ferrite layer subjacent to the scale and by the instability of the planar interface. No internal oxidation was observed beneath the Mn2O3 film at either 700 or 750°C. Samples oxidized in the“high-temperature” region, 800–1000°C, exhibited vastly different behavior, forming thick stratified scales at long times (24 hr), the scales consisting of a very thin outer layer of Mn2O3 (with appreciable iron in solution), Fe-Mn spinel beneath the outer layer, and a thick inner layer of manganowustite and a chromium-containing spinel. No chromium was found in the outer two layers. A thin layer of nearly pure Fe2O3 formed between Mn2O3 and the outer spinel. Quasiparabolic kinetics were observed. The high-temperature rates were about 103 to 104 times greater than at low temperatures at the “transition” temperature. The rapid rates at high temperatures were attributed to manganowustite growth. However, oxidation of an electropolished sample at 750°C, from which the superficial cold-worked layer had been removed, formed scales similar to those observed at high temperatures at comparable rates. A difference by a factor of over 104 existed between the oxidation rate of the electropolished sample and the surface-abraded sample at 750°C. The much slower oxidation rate of the latter is attributed to greatly enchanced manganese diffusion through the high dislocation-density, cold-worked layer. Short-time tests at 800°C revealed an incubation period during which a thin protective layer of Mn2O3 formed. The incubation period corresponded to the recrystallization time of the cold-worked layer. Subsequently, nodular growth occurred which was associated with internal oxidation. The nodules, consisting of spinel and manganowustite, eventually linked up to form a thick, stratified scale. Comparison of the scale structures with calculated phase diagrams of composition versus oxygen activity (at constant temperature), showed that the protective films formed at low temperatures were due to kinetics factors, involving enhanced manganese diffusion through the cold-worked layer, rather than to thermodynamics. A model for the breakdown of protective films is proposed which involves internal oxidation.
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  • 41
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    Oxidation of metals 26 (1986), S. 125-138 
    ISSN: 1573-4889
    Keywords: hot corrosion ; oxidation ; aluminide coatings ; nickel ; nickel alloys
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Aluminide and chromaluminide diffusion coatings on nickel and a nickel-base superalloy, EI 867, were subjected to different corrosion tests consisting of oxidation under isothermal and thermal cycling conditions, and oxidation in the presence of fused sodium sulfate. It was found that chromium present in the surface layers of aluminide coatings has a beneficial effect on their resistance to oxidation and hot corrosion.
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  • 42
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    Oxidation of metals 26 (1986), S. 45-76 
    ISSN: 1573-4889
    Keywords: Ni-base alloys ; oxidation ; influence of oxygen partial pressure at high temperatures ; kinetics and mechanisms of high temperature oxidation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation behavior of the Ni-base alloys IN 617, IN 713 LC, Ni20Cr, and Ni20Cr+Si has been investigated in the temperature range from 850°C to 1000°C in air and at low-oxygen partial pressure p(O2) (10−19 to 10−16 bar). With the exception of alloy IN 713 LC, the materials show no influence of p(O2) on the oxidation mechanisms and the kinetics. This result can be explained by the formation of a dense Cr2O3 layer, the growth rate of which is controlled by the Cr ion interstitial concentration in Cr2O3 at the phase boundary oxide/alloy and the mobility of Cr ions in Cr2O3. For the alloy IN 713 LC which develops a dense Al2O3 layer in air, a modified transition mechanism at low p(O2) leads to the formation of Cr2O3 at the surface and a strong internal oxidation of Al.
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  • 43
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    Oxidation of metals 27 (1987), S. 1-20 
    ISSN: 1573-4889
    Keywords: oxidation ; titanium ; silicon ; adherence ; titanium-silicon alloys
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation behavior of Ti-Si alloys (0.25, 0.5, and 1 Wt. % Si) was investigated between 550 and 700°C; in oxygen by continuous thermogravimetry for a maximum duration of about 500 hr and, in air by daily weighing for durations from a few hundred to several thousand hours. The kinetics results revealed that the presence of silicon leads to a decrease in oxidation rate which is more evident when the temperature is raised and the silicon content is increased. Morphological and structural examinations revealed that silicon modifies the internal architecture of oxide layers when compared with unalloyed titanium; in particular, reduced porosity in the layers is observed. Analysis showed that silicon is uniformly distributed in the oxide layer. However, while part of the silicon is in solid solution in the rutile, some is also precipitated as small crystals (φ 〈1 μm at 850°C) of SiO2, of cristobalite structure. The adherence of oxide layers to the metal substrate was measured after cooling of samples; the addition of silicon has been observed to modify, in a manner dependent on its content, the adherence of oxide layers.
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  • 44
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    Oxidation of metals 27 (1987), S. 315-332 
    ISSN: 1573-4889
    Keywords: chromium ; NaCl ; oxidation ; hot corrosion ; mechanism
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The oxidation rate of NaCl-coated chromium was measured over the temperature range of 823–1043 K. Although the melting point of NaCl is 1074 K, accelerated oxidation was observed at every temperature. Oxidation mass-gain curves were divided into two types. Type I involved only accelerated oxidation during the initial stage followed by the formation of a thin protective Cr2O3 film. Type II pertained to an acceleration over a long time, forming a thick and nonprotective Cr2O3film containing Na2CrO4. The former type of oxidation occurred at lower temperatures or with a small amount of NaCl, whereas the latter occurred at higher temperatures and with large amounts of NaCl. A comparison of these oxidation processes with those by CaCl2 or BaCl2, revealed two problems: (1) Why was the oxidation rate of chromium so high in the presence of NaCl?, and (2) Why did the high oxidation rate continue for such a long time?
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  • 45
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    Oxidation of metals 27 (1987), S. 301-314 
    ISSN: 1573-4889
    Keywords: diffusion mechanisms ; point defects ; oxidation ; NiO-V2O5
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A model is proposed for the oxidation of metals including both bulk crystal lattice diffusion and short-circuit diffusion paths. Assuming local equilibrium between point defects in the bulk and in grain boundaries, we obtain an effective parabolic rate constant keff=kbulk [1+θ exp-(ΔH/RT],where ΔH is the enthalpy for the reaction between point defects in the bulk and in short circuits, θ is the fraction of the short-circuit area, and T is temperature. In the case of the high-temperature oxidation of nickel coated with a thin film of vanadium pentoxide, this model yields to a rate law with a critical oxygen pressure P c. The nickel vanadium oxide located in the short circuits of the growing oxide NiO is liquid below Pc, leading to a rapid short-circuit diffusion. Above this value, a vanadate precipitates and acts as diffusion blocks for migrating Ni ions.
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  • 46
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    Oxidation of metals 29 (1988), S. 153-167 
    ISSN: 1573-4889
    Keywords: zirconium ; oxidation ; parabolic kinetics ; linear kinetics ; cubic kinetics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract A model is proposed to describe parabolic followed by linear oxidation kinetics of zirconium and zircaloy. The one-dimensional description presented here for parabolic kinetics considers the superficial oxide layer as formed by a succession of diffusion layers of crystalline oxide alternating with short-circuit paths for diffusion. Within this framework, the parabolic-linear transition can be viewed as the result of the rupture of the thin diffusion laters, leaving behind long channels connecting the oxidizing environment with the diffusion region adjacent to the oxide-metal interface. These channels represent easy paths for oxygen diffusion. This model unifies the description of parabolic oxidation of Zr with that of linear kinetics and can be also connected with the description of cubic oxidation kinetics. The latter can be thought of as the result of a recrystallization process where the oxidation rate diminishes more than during a parabolic regime as time progresses due to the growing influence of volume diffusion.
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  • 47
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    Oxidation of metals 29 (1988), S. 409-418 
    ISSN: 1573-4889
    Keywords: Microstructure ; oxidation ; chromium oxide
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Four commercially available Ni-Cr-based alloys used with porcelain enamels were studied. Major alloying elements were Al, Be, Si, B, Nb, and Mo. All alloys were multiphase. During heat treatments simulating enameling conditions, phase changes occurred in most alloys and were detected using hardness testing, differential thermal analysis (DTA), and microscopy. Oxidation of these alloys at 1000°Cfor 10 min produced an oxide layer consisting principally of chromium oxide, but the oxide morphology varied with each alloy depending on the alloy microstructure. Controlling alloy microstructure while keeping the overall composition unchanged may be a means of preventing wrinkled poorly adherent scales from forming.
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  • 48
    ISSN: 1573-4889
    Keywords: Ni-base alloy IN 617 ; reactor helium ; oxidation ; carburization ; decarburization ; kinetics ; mechanisms
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Application of the technical nickel-base alloy IN 617 in the primary circuit of the high-temperature gas-cooled reactor is limited essentially by the chemical reactions with the impurities (CO, CO2, H2, CH4, H2O) in the helium coolant. The interactions of the alloy with the reactive impurities in different helium-base gases were investigated by thermogravimetry in a gas-tight microbalance and by simultaneous measurement of the changes in gas composition by a continuous sensitive mass spectrometric analysis. The results demonstrate that the set of six reaction equations deduced in part 1 can be applied to describe the corrosion of the alloy. The occurrence of the various reactions is determined essentially by temperature. For the case of a standardized helium gas (HHT-He), three temperature regions can be distinguished. Below a critical temperature (about 1105 K), the presence of CO can cause simultaneous oxidation and carburization. Above this temperature, this reaction does not reverse itself. Rather, oxidation by CO2 and H2O takes place that shows, after a transient period, the same kinetics observed in undiluted oxygen-containing gases. At temperatures above about 1205 K, decarburization of the alloy accompanied by the production of CO takes place, leading to severe destruction of the carbide microstructure and, therefore, limiting the applicability of the material.
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  • 49
    ISSN: 1573-4889
    Keywords: constant-extension-rate tests ; Incoloy 800H ; sulfidation ; oxidation ; sol-gel method ; cerium ; ceramic coatings
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The mechanical properties of ceramic coatings containing cerium oxide, prepared by the sol-gel method and used to protect Incoloy 800H against aggressive environments, are reported. Deformation and cracking behavior in oxidizing and sulfidizing environments has been investigated by constant-extension-rate tests. Extension rates were between 9.3×10−6 and 3.7×10−7 sec−1 at 823 〈T〈973 K. Under these conditions, cerium oxide sol-gel-coated specimens do not show any failure at extensions of 1.0% or more, but in hydrogen, sulfide failure is found at lower extensions than in air.
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  • 50
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    Oxidation of metals 31 (1989), S. 305-323 
    ISSN: 1573-4889
    Keywords: oxidation ; sulfidation ; Fe-Cr-Ni alloys ; Nb addition ; Zn addition ; breakaway corrosion ; mixed-gas atmospheres
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Structural Fe-Cr-Ni alloys may be rapidly degraded in oxygen-sulfur mixed-gas environments at elevated temperatures unless protective oxide scales can be formed and maintained. The breakaway corrosion process was examined in model alloys of Fe-25wt.% Cr-20wt.% Ni with and without Nb and Zr additions. Oxide scales were preformed in S-free environments and subsequently exposed to oxygen-sulfur mixed-gas atmospheres. Preformed scales were found to delay the onset of breakaway corrosion. The beneficial effects of refractory metal additions were achieved via formation of a barrier layer at the Cr2O3 alloy interface.
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 245-255 
    ISSN: 0271-2091
    Keywords: Orthogonal Body-Fitted Grid ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The procedure proposed is based on the solution by finite difference means of a set of Laplace's equations, by the application of a relaxation method.The curvilinear orthogonal grid so generated is fitted to a 2-D physical domain with closed boundary and the contribution of the present work consists in the arbitrary choice of grid points on two adjacent boundaries, in order to achieve the desired density of grid points where the geometry of the boundaries varies rapidly.The method proposed is rapid and stable. Some characteristic examples are finally presented.
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  • 52
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 281-292 
    ISSN: 0271-2091
    Keywords: Finite Elements ; Steady Flow ; Navier-Stokes equations ; Multiplier Methods ; Pseudo-Time-Iteration Method ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: In this paper a fully explicit finite element method (FEFEM) is presented for solving steady incompressible viscous flow problems. This full explicitness is achieved by combining the multiplier (or augmented Lagrangian) method with a pseudo-time-iteration method. FEFEM needs no global matrix at all and is of great advantage to large-scale problems because they can be solved within the limit of core memory.The optimum choice of a time increment and a penalty parameter is discussed and the driven cavity flow at a Reynolds number of 1000 is computed with a refined mesh (60 × 60 elements).
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  • 53
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 293-297 
    ISSN: 0271-2091
    Keywords: Transport Equation ; Polynomial Initial Conditions ; Convergence ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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    International Journal for Numerical Methods in Fluids 5 (1985) 
    ISSN: 0271-2091
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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  • 55
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 331-345 
    ISSN: 0271-2091
    Keywords: Turbomachines ; Design ; Finite Element ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: In this paper the development of a compatible mixed design and analysis method is presented for the quasi-three-dimensional finite element blade-to-blade program FINSUP. The method consists of two parts. The first is concerned with a method of modelling changes to a blade shape using a surface transpiration model. The second is concerned with determining the relationship between the displaced blade surface and the surface velocity distribution. It is shown that with the Newton-Raphson procedure adopted in the method a very efficient manner of introducing the design option is possible. As a consequence the resulting program is fast and completely interactive. A number of examples are given to illustrate how the mixed design and analysis mode can be used in practical blade design.
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  • 56
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 357-380 
    ISSN: 0271-2091
    Keywords: Iterative Methods ; Implicit Procedures ; Engineering ; Engineering General
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A general implicit (GI) method for solving iteratively the algebraic system arising from a finite difference approximation of an elliptic partial differential equation is formulated. Under certain assumptions this method can be reduced to the already known implicit techniques. It is shown that the GI method has a very special physical meaning when solving fluid flow problems. It is shown also how this method can be optimized to achieve the maximum rate of convergence. Finally it is shown how this new strategy is applied by solving some classical numerical fluid dynamics problems.
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 402-403 
    ISSN: 0271-2091
    Keywords: Engineering ; Engineering General
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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  • 58
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 405-425 
    ISSN: 0271-2091
    Keywords: DuFort-Frankel ; Saul'ev ; Instability ; Sea Model ; Hydrodynamic ; Three-dimensional Time-splitting ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A three dimensional hydrodynamic sea model of an arbitrary sea area is formulated using sigma co-ordinates in the vertical. The solution of the equations using finite difference grids in the horizontal and the vertical is described.Discretization of the vertical viscosity term in the hydrodynamic equations using the DuFort-Frankel and Saul'ev methods is developed. Some numerical instabilities occur with the DuFort-Frankel method which can be overcome by splitting the hydrodynamic equations into equations describing the mean flow and equations describing the deviations from it. The computational advantages of solving these equations with different time steps are discussed.The accuracy and stability of the various methods is demonstrated for wind induced flow in a simple rectangular basin having dimensions representing the North Sea.
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  • 59
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    International Journal for Numerical Methods in Fluids 5 (1985) 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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  • 60
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 483-500 
    ISSN: 0271-2091
    Keywords: Three-dimensional Vortex flow ; Pseudo-unsteady Euler Equations ; Finite Volume ; Multiple Grid ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The unsteady Euler equations are numerically solved using the finite volume one-step scheme recently developed by Ron-Ho Ni. The multiple-grid procedure of Ni is also implemented. The flows are assumed to be homo-enthalpic; the energy equation is eliminated and the static pressure is determined by the steady Bernoulli equation; a local time-step technique is used. Inflow and outflow boundaries are treated with the compatibility relations method of ONERA. The efficiency of the multiple-grid scheme is demonstrated by a two-dimensional calculation (transonic flow past the NACA 12 aerofoil) and also by a three-dimensional one (transonic lifting flow past the M6 wing). The third application presented shows the ability of the method to compute the vortical flow around a delta wing with leading-edge separation. No condition is applied at the leading-edge; the vortex sheets are captured in the same sense as shock waves. Results indicate that the Euler equations method is well suited for the prediction of flows with shock waves and contact discontinuities, the multiple-grid procedure allowing a substantial reduction of the computational time.
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 515-528 
    ISSN: 0271-2091
    Keywords: Solution Adaptive ; Grids (SAG) ; Mesh Generation ; Techniques ; Burgers Equation ; Falkner-Skan Equation ; Viscous Aerofoil Flows ; Navier-Stokes Equations ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A solution adaptive grid (SAG) method which redistributes the nodal points of a function according to its curvature is presented. A single, user-selected step parameter, P, is available for controlling the maximum step size, allowing the application of the technique to a wide variety of problems. Three test cases are cited: (1) the 1-dimensional inviscid Burgers equation, (2) the Falkner-Skan equation and (3) the finite-volume form of the Navier-Stokes equations for transonic aerofoil flows. In all three cases, significant solution improvement in terms of accuracy and convergence acceleration were achieved.
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 561-575 
    ISSN: 0271-2091
    Keywords: Cavity Flow ; Incompressible Flow ; Control-Volume Formulation ; Navier-Stokes Equations ; QUICK ; Convection Scheme ; Taylor-Görtler Vortices ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Previous three-dimensional simulations of the lid-driven cavity flow have reproduced only the most general features of the flow. Improvements to a finite difference code, REBUFFS, have made possible the first completely successful simulation of the three-dimensional lid-driven cavity flow. The principal improvement to the code was the incorporation of a modified QUICK scheme, a higher-order upwind finite difference formulation. Results for a cavity flow at a Reynolds number of 3200 have reproduced experimentally observed Taylor-Görtler-like vortices and other three-dimensional effects heretofore not simulated. Experimental results obtained from a unique experimental cavity facility validate the calculated results.
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 599-600 
    ISSN: 0271-2091
    Keywords: Engineering ; Engineering General
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 597-598 
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    Keywords: Engineering ; Engineering General
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 665-666 
    ISSN: 0271-2091
    Keywords: Engineering ; Engineering General
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 667-683 
    ISSN: 0271-2091
    Keywords: Laminar Flows ; Complex Geometry ; Numerical Methods ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: This paper reports on the outcome of a workshop of the IAHR Working Group on Refined Modelling of Flows on the subject of computing laminar flows in complex geometries. Flow inside a channel with a smooth expansion was chosen by the organizers of the workshop as a suitable test case for assessing the capabilities of current numerical methods. The results obtained by fifteen participant groups are presented and compared against a suitable benchmark solution. The most important considerations that emerged at the workshop are briefly reported and the conclusions arising from an analysis and comparison of the various solutions are finally provided.
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 761-762 
    ISSN: 0271-2091
    Keywords: Engineering ; Engineering General
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 727-744 
    ISSN: 0271-2091
    Keywords: Shallow Water Equations ; Boundary Fitted Grids ; Comparison of Boundary Fitted Grid Model with x-y Cartesian Grid Model ; Annular Ring Solutions ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Many problems of applied oceanography and environmental science demand the solution of the momentum, mass and energy equations on physical domains having curving coastlines. Finite-difference calculations representing the boundary as a step function may give inaccurate results near the coastline where simulation results are of greatest interest for numerous applications. This suggests the use of methods which are capable of handling the problem of boundary curvature.This paper presents computational results for the shallow water equations on a circular ring of constant depth, employing the concept of boundary fitted grids (BFG) for an accurate representation of the boundary. All calculations are performed on a rectangle in the transformed plane using a mesh with square grid spacing. Comparisons of the simulations of transient normal mode oscillations and analytic solutions are shown, demonstrating that this technique yields accurate results in situations (provided that there is a reasonable choice of grid) involving a curved boundary. The software developed allows application to any two-dimensional area, regardless of the complexity of the geometry.Simulation runs were made with two co-ordinate systems. For the first system, the grid point distribution was obtained from polar co-ordinates. For the second one, grid point positions were calculated numerically, solving Poisson's equation. It was found that small variations in the metric coefficients do not deteriorate the accuracy of the simulation results.Moreover, comparisons of surface elevation and velocity components at grid points near the inner and outer radii obtained from an x-y Cartesian grid model with the BFG simulation were made. The former model produced inacccuracies at grid points near boundaries, and, owing to the large number of mesh points used to yield the necessary fine resolution, the computation time was found to be a factor of three higher.
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    International Journal for Numerical Methods in Fluids 5 (1985) 
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    Keywords: Engineering ; Engineering General
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 785-803 
    ISSN: 0271-2091
    Keywords: Variable Penalty Method ; Penalty Finite Element Analysis ; Rotating Flow ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A new scheme is applied for increasing the accuracy of the penalty finite element method for incompressible flow by systematically varying from element to element the sign and magnitude of the penalty parameter λ, which enters through ∇.v + p/λ = 0, an approximation to the incompressibility constraint. Not only is the error in this approximation reduced beyond that achievable with a constant λ, but also digital truncation error is lowered when it is aggravated by large variations in element size, a critical problem when the discretization must resolve thin boundary layers. The magnitude of the penalty parameter can be chosen smaller than when λ is constant, which also reduces digital truncation error; hence a shorter word-length computer is more likely to succeed. Error estimates of the method are reviewed. Boundary conditions which circumvent the hazards of aphysical pressure modes are catalogued for the finite element basis set chosen here. In order to compare performance, the variable penalty method is pitted against the conventional penalty method with constant λ in several Stokes flow case studies.
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 831-845 
    ISSN: 0271-2091
    Keywords: Non-Newtonian ; Finite Element Method ; Optimal Control ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Modern lubricants often exhibit shear-thinning due to the presence of high molecular weight polymers as additives. Therefore the influence of such non-Newtonian effects on the performances of lubricating systems must be predicted. The corresponding fluid film flow is governed by a non-linear partial differential equation, which generalizes the classical Reynolds equation. Having prescribed adequate boundary conditions, this equation is solved by a finite element method with optimal control. The problem of the square slider bearing lubricated by the Rabinowitsch fluid is solved in order to test the accuracy of the numerical scheme. The pressure and velocity fields are given and compared with the corresponding ones obtained for the Newtonian fluid.
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 911-928 
    ISSN: 0271-2091
    Keywords: Incompressible ; Finite Elements ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: We present a numerical procedure to eliminate internal nodes from elements designed to approximate incompressible flow problems. We compare six elements in academic and industrial like flow problem and we discuss their relative qualities. A surprising conclusion is that richer elements may behave less well than simple ones if a good enforcement of incompressibility is not maintained.
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 940-941 
    ISSN: 0271-2091
    Keywords: Engineering ; Engineering General
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 929-938 
    ISSN: 0271-2091
    Keywords: Non-Newtonian Fluid Flow ; Nine-Node Lagrangian Element ; Broyden's Method ; Frontal Method ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: When the Galerkin finite-element method with a nine-node isoparametric Lagrangian element is applied to solve non-Newtonian fluid flow problems, a considerable amount of computing time is required to solve the discretized non-linear system of equations by Newton's method. A method proposed by Broyden has been modified to compute the Jacobian matrix associated with Newton's method. This modified Broyden's method can be combined with the frontal method to efficiently solve the linearized finite-element equations during the iteration. Numerical results of a sample problem concerning the determination of the pressure-drop/flow-rate relationship for power-law fluids in rectangular ducts show that the application of this new method can reduce computing time substantially.
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 995-1013 
    ISSN: 0271-2091
    Keywords: Boussinesq Approximation ; Porous Media ; Finite Element ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The regions of applicability of the Boussinesq approximation are investigated for natural convection in a fluid-saturated porous medium. A perturbation method is used to assess the relative importance of individual terms in the differential equations which describe the natural convection process. Specific limits to the validity of the Boussinesq approximation are identified for water and air. For water, it is shown that the restrictions imposed by the classical Boussinesq approximation can be relaxed by allowing for the variation of thermophysical properties with temperature while still retaining the incompressible form of the continuity relation. Results of the analysis are verified through numerical calculations performed for steady natural convection in a planar, water-saturated porous region.
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 981-993 
    ISSN: 0271-2091
    Keywords: Finite Element Method ; Velocity Correlation Method ; Density Flow ; Density Flume ; Linear Interpolation ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A finite element method is proposed for the analysis of density flow which is induced by a difference of density. The method employs the idea that density variation can be pursued by using markers distributed in the flow field. For the numerical integration scheme, the velocity correction method is successfully used, introducing a potential for the correction of velocity. This method is useful because one can use linear interpolation functions for velocity, pressure and potential based on the triangular finite element. The final equations can be formulated using the quasi-explicit finite element method. A flume in a tank with sloping bottom has been analysed by the present method. The computed results show extremely good agreement with the experimental observations.
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 943-955 
    ISSN: 0271-2091
    Keywords: Finite Element ; Reservoir ; Hydrostatic Pressure ; Numerical Accuracy ; Stratified Flow ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Experiences relating to the application of finite element models for laterally averaged stratified flow are discussed and modifications to the basic approach are suggested that alleviate these difficulties. An example problem is used to demonstrate the revised model and to make a preliminary assessment of the hydrostatic pressure assumption when applied to reservoir analysis.
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    International Journal for Numerical Methods in Fluids 5 (1985) 
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    Keywords: Engineering ; Engineering General
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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    International Journal for Numerical Methods in Fluids 5 (1985), S. 1047-1057 
    ISSN: 0271-2091
    Keywords: Transonic Flow ; Modified Potential ; Finite Elements ; Non-isentropic Flow ; Conservative Method ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The classical potential formulation of inviscid transonic flows is modified to account for non-isentropic effects. The density is determined in terms of the speed as well as the pressure, which in turn is calculated from a second-order mixed-type equation derived via differentiating the momentum equations.The present model differs in general from the exact inviscid Euler equations since the flow is assumed irrotational. On the other hand, since the shocks are not isentropic, they are weaker and are placed further upstream compared to the classical potential solution. Furthermore, the streamline leaving the aerofoil does not necessarily bisect the trailing edge.Results for the present conservative calculations are presented for non-lifting and lifting aerofoils at subsonic and transonic speeds and compared to potential and Euler solutions.
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    International Journal for Numerical Methods in Fluids 6 (1986) 
    ISSN: 0271-2091
    Keywords: Engineering ; Engineering General
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    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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    International Journal for Numerical Methods in Fluids 6 (1986), S. 35-45 
    ISSN: 0271-2091
    Keywords: Vorticity-Potential ; 3-D Body-Fitted Grid ; Navier-Stokes ; Internal Flow ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: An improved Vorticity-Potential method is presented for the numerical solutions of three-dimensional duct flow problems. The solution procedure requires first a potential solution. Then the viscous effects are added through the vorticity transport equation. By using body-fitted coordinates, the method is applied to simulate the incompressible laminar flows in a square elbow and in a twisted square elbow.
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    International Journal for Numerical Methods in Fluids 6 (1986), S. 101-102 
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    Keywords: Engineering ; Engineering General
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    International Journal for Numerical Methods in Fluids 6 (1986) 
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    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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    International Journal for Numerical Methods in Fluids 6 (1986), S. 113-127 
    ISSN: 0271-2091
    Keywords: Wind Engineering ; Control Volume Method ; Wind Flow Simulation ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The steady Navier-Stokes equation is solved to simulate the wind-flow environment of three-dimensional configurations of buildings. The method assumes an incident wind described by a power-law velocity profile. A new method for controlling the two-part nested solution iteration is introduced. The simulation is compared to some published wind-tunnel measurements.
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  • 85
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    International Journal for Numerical Methods in Fluids 6 (1986), S. 257-258 
    ISSN: 0271-2091
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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  • 86
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    International Journal for Numerical Methods in Fluids 6 (1986), S. 165-172 
    ISSN: 0271-2091
    Keywords: Pressure Oscillations ; Driven Cavity ; Boundary Data ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The 8-node (serendipity) velocity basis with C° bilinear pressure is a popular element but has been observed to yield poor pressures. We present some details of numerical experiments that indicate the local nature of the error and the effects of mesh refinement, increasing Reynolds number and regularity of the data. This leads to a strategy for appropriately modifying the data near the corners that is effective in improving the computed pressure approximation.
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  • 87
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    International Journal for Numerical Methods in Fluids 6 (1986), S. 219-227 
    ISSN: 0271-2091
    Keywords: Water Waves ; Bifurcation ; Non-linear ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: We are concerned with the numerical computation of progressive free surface gravity waves on a horizontal bed. They are regarded as families of bifurcation branches (λ,A)Q of constant discharge Q.Numerically we determine two transition values Q1 and Q2 with corresponding transition bifurcation branches that classify waves into three disjoint branch sets B1, B2 and B3. Their members are families of waves (λ,A)Q satisfying the conditions 0〈Q2 ≤Q12, Q12 〈Q2 ≤Q22 and Q22 〈Q2 〈B/27, respectively.The bifurcation patterns are analysed in some detail from the computed bifurcation diagram, which shows that in B1 bifurcation is to the left and the amplitude A increases as the wavelength λ decreases; in B2 bifurcation is to the right and turning points are observed nearly at breaking point. In B3 bifurcation is to the right and A increases monotonically with λ.
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  • 88
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    International Journal for Numerical Methods in Fluids 6 (1986), S. 496-496 
    ISSN: 0271-2091
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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  • 89
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    International Journal for Numerical Methods in Fluids 6 (1986), S. 291-304 
    ISSN: 0271-2091
    Keywords: Grid Generation ; Numerical Methods ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: An efficient and versatile algebraic grid generation technique is presented for generating grid points in irregularly shaped and time-varying spatial domains. The method presented is based on the ‘two-boundary technique’ of Smith. The usefulness and the feasibility of the grid generation technique were demonstrated by (1) generating grid points inside one of the combustion chambers of a motored two-dimensional rotary engine and (2) obtaining numerical solutions for the flow field inside one of those combustion chambers.
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  • 90
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    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 6 (1986) 
    ISSN: 0271-2091
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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  • 91
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    International Journal for Numerical Methods in Fluids 6 (1986), S. 883-894 
    ISSN: 0271-2091
    Keywords: Convective Instability ; Orr-Sommerfeld Equation ; Optimal Control ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The Orr-Sommerfeld equation is solved numerically for a layer of liquid film flowing down an inclined plane under the action of gravity using the sequential gradient-restoration algorithm (SGRA) The method consists of solving the governing equation as it is a Bolza problem in the calculus of variations. The neutral stability curves, eigenvalues and eigenfunctions to the stability problem can be determined simultaneously during the process.
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  • 92
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    International Journal for Numerical Methods in Fluids 6 (1986), S. 927-937 
    ISSN: 0271-2091
    Keywords: Two-equation Turbulence Model ; Separated Flow ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: An implicit two-equation turbulence solver, KEM. in generalized co-ordinates, is used in conjunction with the three-dimensional incompressible Navier-Stokes solver, INS3D, to calculate the internal flow in a channel and a channel with a sudden 2:3 expansion. A new and consistent boundary procedure for a low Reynolds number form of the κ-ε turbulence model is chosen to integrate the equations up to the wall. The high Reynolds number form of the equations is integrated using wall functions. The latter approach yields a faster convergence to the steady-state solution than the former. For the case of channel flow, both the wall-function and wall-boundary-condition approaches yield results in good agreement with the experimental data. The back-step (sudden expansion) flow is calculated using the wall-function approach. The predictions are in reasonable agreement with the experimental data.
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  • 93
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    International Journal for Numerical Methods in Fluids 6 (1986), S. 715-731 
    ISSN: 0271-2091
    Keywords: Viscous Flow ; Array of Cylinders ; Numerical Methods ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The unsteady two-dimensional flow around an array of circular cylinders submerged in a uniform onset flow is analysed. The fluid is taken to be viscous and incompressible. The array of cylinders consists of two horizontal rows extending to infinity in the upstream and downstream directions. The centre-to-centre distance between adjacent cylinders is fixed at three diameters, and the rows are staggered. Advantage is taken of spatially periodic boundary conditions in the flow direction. This reduces the computational domain to a rectangular region surrounding a single circular cylinder. Two cases, for Reynolds numbers of 1000 and 10,000, are presented.
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  • 94
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    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 6 (1986) 
    ISSN: 0271-2091
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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  • 95
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    International Journal for Numerical Methods in Fluids 6 (1986), S. 769-787 
    ISSN: 0271-2091
    Keywords: Turbulent Boundary Layer ; Kκ-ε Model ; Dorodnitsyn Finite Element ; Heat Transfer ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The use of finite element methods for turbulent boundary-layer flow is relatively recent and of limited extent.1 In the present study, we extend the group variable approach of Fletcher and Fleer2,3 to treat turbulent boundary layer flows with heat transfer using a two-equation turbulence model. The main concepts in the formulations include a Dorodnitsyn-type transformation which uses a velocity component as the transverse variable, a ‘variational’ formulation for the transformed equations using special test functions and development of a two-equation turbulence model in terms of the turbulent kinetic energy and turbulence dissipation rate as additional field variables. Several numerical test cases have been examined comparing the results with finite difference calculations and comparing the two-equation turbulence model with an algebraic turbulence model.
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  • 96
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    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 6 (1986) 
    ISSN: 0271-2091
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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  • 97
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    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 7 (1987) 
    ISSN: 0271-2091
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
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  • 98
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    International Journal for Numerical Methods in Fluids 7 (1987), S. 191-193 
    ISSN: 0271-2091
    Keywords: Finite Elements ; Interface Penalties ; Viscous Flow ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: In this note, we apply a finite element stream function formulation with inter-element penalties to the Navier-Stokes equations. The approach is an extension of a technique previously introduced for Stokes, flow. The solution is obtained by iterative linearization using successive approximation, and results for a standard numerical test case are given.
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  • 99
    ISSN: 0271-2091
    Keywords: Computer Extended Series ; Rotating Fluid Mechanics ; MACSYMA ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: We have reformulated the general problem of internal flow in a modern, high speed gas centrifuge with sources and sinks in such a way as to obtain new, simple, rigorous closed form analytical solutions. Both symmetric and antisymmetric drives lead us to an ordinary differential equation in place of the usual inhomogeneous Onsager partial differential equation. Owing to the difficulties of exactly solving this sixth order, inhomogeneous, variable coefficient ordinary differential equation we appeal to the power of perturbation theory and techniques. Two extreme parameter regimes are identified, the so-called semi-long bowl approximation and a new short bowl approximation. Only the former class of problems is treated here. The long bowl solution for axial drive is the correct leading order term, just as for pure thermal drive. New O(1) results are derived for radial, drag and heat drives in two dimensions. Then regular asymptotic, even ordered power series expansions for the flow field are carried out on the computer to O(ε4) using MACSYMA. These approximations are valid for values of ε near unity. In the spirit of Van Dyke, one can carry out this expansion process, in theory, to apparently arbitrary order for arbitrary but finite decay length ratio. Curiously, the flows induced by axial and radial forces are proportional for asymptotically large source scale heights, x*. Corresponding isotope separation integral parameters will be given in a companion paper.
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  • 100
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    International Journal for Numerical Methods in Fluids 7 (1987), S. 277-289 
    ISSN: 0271-2091
    Keywords: Large eddie simulation ; Spectral methods ; Computer simulation of flows ; Distorted geometries ; Coordinate transformation ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Turbulence is essentially four-dimensional in character, and requires the corresponding treatment of the well-known Navier-Stokes equations. However, this has only been possible over the past twenty years and then by using the largest computers available. Interest is now turning from the initial, mainly smooth channel, simulations to geometries of eventual engineering significance. This paper reports a new code using the spectral methods of Orszag, but also incorporating a novel generalized co-ordinate transformation approach.Initial predictions for smooth channels agree well with published data. For distorted geometries, the initial velocity field has considerable influence on the success of the simulations. This is accommodated by gradual (step) changes towards the required distortion, so that the initial velocity field for the ‘new’ geometry is the final field from the previous step. Examples are given of different two-dimensional channel geometries achieved, and these include the successful prediction of recirculating flows.
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