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  • 1
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 2-177 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 2
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 3-3 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 3
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 18-25 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A theoretical model for interstitial liquid flow in a stationary or moving foam was devised by relating the physical structure of the foam to the physical properties of the surfactant and the foam movement. This was accomplished through a differential momentum balance within a typical capillary (Plateau border) of noncircular cross section with finite surface viscosity at its boundaries. Velocity profiles were then calculated and integrated numerically for the randomly oriented capillaries so as to obtain the overall liquid flow through the foam in terms of the pertinent variables. Results are presented in a form suitable for estimating concentrations and flow rates of product and waste streams in foam fractionation.
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  • 4
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 145-151 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Terminal velocity drag coefficients CD were determined for cylinders, prisms, disks, and spheres in air and water at NRe from 1,000 to 300,000, the regime where particles rotate and/or oscillate. These and other similar data show that CD is a function of particle and fluid densities ρp and ρf, as well as shape and NRe.By considering CD a function of particle moment of inertia and the rotational moment generated by circulation (or alternatively the field force and the lift), one can deduce that \documentclass{article}\pagestyle{empty}\begin{document}$ {\rm C}_{\rm D} = {\rm f}\left({\frac{{\rho {\rm p}}}{{\rho {\rm p}}}\,{\rm or}\,\frac{{\rho {\rm p} - \rho {\rm f}}}{{\rho {\rm f}}},\hbox{a length ratio, N}_{{\rm RE}}} \right) $\end{document}. This relationship correlates the data for ρp = 1.2 to 8.3 and ρf = 0.1 to 1.3 g./cc. to within ± 10%.
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  • 5
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 151-154 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: In an earlier paper (1), three general methods of approaching the moving-boundary problems were developed. In the present work, these three methods are applied in detail to the solution of the problem of evaporation from a flat surface into a vapor phase of infinite depth. While this particular problem has been solved before (2,3), it has been chosen as an example here because all three methods apply directly.
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  • 6
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 155-158 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The reduced thermal pressure-temperature ratio has been used to relate residual viscosity modulus for argon, krypton, and xenon into a unique relationship applicable for the dense gaseous and liquid regions. For these monatomic substances the critical compressibility factor is zc = 0.291. Values of (∂PR/∂TR)pR vs. (μ  - μ*)ζ on log-log coordinates produced a linear relationship. For these simple substances, this relationship was used to predict viscosities with an average deviation of 3.0% for fifty eight experimental values. This relationship was also applied for the prediction of viscosities for nitrogen, oxygen and carbon dioxide.The approach developed in this study merits further examination with several additional substances. The lack of adequate thermal pressures in the dense gaseous and liquid regions of substances other than argon limits the use of this study to substances having critical compressibility factors zc = 0.291.
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  • 7
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 723-727 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Stirred tank reactor yields are successfully described by the following model. The impeller is considered to act as a local micro-mixer that perfectly mixes the recirculating stream down to the molecular level. All other portions of the vessel act as a large volume macro-mixer, throughout which the impeller discharge stream remains completely segregated. Changes in overall conversion due to variations in mean residence time, impeller size, and rev./min. as predicted by this micro- and macro-mixer model agree with Worrell's data for a relatively slow, second-order, irreversible reaction.
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  • 8
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 678-685 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A method for the determination of the plate efficiencies for existing conventional and complex columns is presented. Information, such as any combination of product distributions, plate temperatures, and plate compositions, which is in addition to that required to solve a problem for a fixed column is used to determine efficiencies.
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  • 9
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 686-689 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A method is developed for the treatment of data obtained from flow systems whose performance is unsteady and periodic. Experimental results from a study of axial dispersion in pulsating turbulent flow in an open, round pipe are presented; they show that pulsations can greatly increase axial mixing.
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  • 10
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 690-695 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Sufficiently accurate values of first twenty eigenvalues, eigenfunctions Rn (1), and the coefficients for series expansion, as well as asymptotic expressions for these quantities, have been obtained for heat (or mass) transfer to fully developed laminar flow inside a round tube with uniform wall heat (or mass) flux. The first ten eigenfunctions are shown graphically for the radius range 0 ≤ r/ro ≤ 1.These quantities are used to calculate the Nusselt numbers for sinusoidal wall heat flux distribution and are compared with the corresponding slug flow Nusselt numbers.
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  • 11
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    AIChE Journal 11 (1965), S. 695-701 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A method is proposed for achieving the optimum design, in the sense of minimum plates, for conventional and complex distillation columns for any set of specifications directly dependent on product purity which might be imposed by the designer. The method uses the calculational procedure of Theiele and Geddes, the θ-method of convergence, and sequential-search procedures. Illustrative examples chosen from a large number of design problems solved by this method are presented.
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  • 12
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 706-712 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The problem of isothermal diffusion in a variable molecular-weight binary gas mixture is considered for the case when the process occurs in a laminar boundary layer. Viscosity and diffusion coefficient are assumed constant. Solutions are given for both forced and free convection at large Schmidt numbers and large mass transfer rates toward the surface. Use of the molar average velocity considerably simplifies the results. These results suggest that the constant density solution in terms of mole fractions, evaluated at free stream conditions, may be a good approximation for variable density. This technique, improved by an approximate correction derived herein, is shown to agree reasonably well with the results of exact numerical solutions of the boundary layer equations.
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  • 13
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 747-758 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 14
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 748-759 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 15
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The mathematical relation for the retention volume for elution chromatography has been extended to include the case of a multicomponent elution gas mixture in which all the components are adsorbed appreciably on the adsorbent. The total adsorption, component adsorption, and the K values or the ratio of the gas-phase concentration to the adsorbed-phase concentration for each component are related to the retention volume for the components as measured by a technique which distinguishes the molecules in the elution gas from those in the perturbing sample. Radioactively traced hydrocarbons are used in the application to obtain the retention volumes appropriate for the theory.The relations derived were applied in studying the adsorption of methane-propane mixtures on silica gel up to a pressure of 1,000 lb./sq. in. abs. The internal consistency of the propane adsorption data with the propane infinite dilution data and the methane data with the pure methane adsorption data obtained by a gravimetric method is demonstrated.
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  • 16
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Alternating current voltage (60 cycles/sec.) was found to increase boiling heat transfer rates and prevent film boiling for deionized water under forced convection at essentially ambient pressure. Steam was used to supply heat to the interior wall of a 0.292-in. thick annulus, and voltages up to 5,000 v. were impressed across the region of vapor formation. The highest heat transfer rates reached were approximately twice the normal nucleate boiling peak. The application of voltage increased the boiling heat transfer over the entire range tested - mass flow rates up to 5.2 × 105 lb./hr.-sq.ft. and exit qualities up to 4% by weight vapor. Data obtained from tests in which the external wall of the flow annulus was heated indicated an increase in heat flux up to 2,000 v., followed by a decrease in heat flux at voltages above 2,000 v.
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  • 17
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 279-287 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An experimental study with fixed and fluidized beds in the isomerization of cyclopropane on a silica alumina catalyst is reported for a temperature range of 150° to 250°C. and of 5 to 150 W/F (g-catalyst, hr./g.-mole). The effects of various cylindrical screen packing, 0.2-, 0.4-, and 1.0-in. diameter, and 1.0-in. diameter pall ring, on final conversion were determined. Reactor scale effects were also considered with reactors of 0.9-, 1.8-, and 6.0-in. diameter and bed heights 1.8 to 11.0 in.Overall conversions were higher in a fluidized bed with packing than in a normal fluidized bed but were less than in a fixed bed, though approaching it in some cases. Rate data from the fixed bed closely followed first-order kinetics. When the same catalyst was tested in a normal fluidized bed, the rate was dependent on linear gas velocity and catalyst bed height. With packing present in the fluidized bed, this dependency was much less, but packing size and shape had some effect.Several previously proposed reactor models were considered for correlating the data.
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  • 18
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 294-303 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The major types of instabilities which can alter a given two-phase flow pattern or lead to the breakup of a liquid film are delineated, and their physical mechanisms are discussed. Existing stability criteria are correlated to these basic types, and their application and limitations with respect to actual problems are indicated. Basic areas requiring further study are outlined.A criterion for determining the breakup length of a liquid film is developed which gives an indication of whether a given instability will lead to low frequency and high amplitude pressure and inventory pulsations. Such phenomena may be undesirable.Two new aspects of importance to the problem of film instability are introduced which have not been previously studied. These are rotation of the fluids and large disturbances in the flow. Their possible influence on the problem is discussed.
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  • 19
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    AIChE Journal 11 (1965), S. 304-310 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A detailed study has been made of the excess viscosity of dense-phase aragon, deuterium, helium-3, helium-4, para and normal hydrogen, neon, and nitrogen and of the excess thermal conductivity of normal hydrogen. A definite temperature dependence for the excess viscosity vs. density has been shown to exist for argon, helium-4, hydrogen, and nitrogen and to be indicated for deuterium. The existing thermal conductivity data for hydrogen have been examined. A theoretical analysis for the qualitative behavior of excess thermal conductivity is given. The critical point viscosity values for all the species are given. Graphs, together with references to 1-atm. data, are presented for computation of the transport properties.
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  • 20
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    AIChE Journal 11 (1965), S. 311-318 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The vertical upflow of air-water mixtures in the dispersed-annular flow regime has been studied in a ¼ × 3-in. rectangular channel. Dye injection into the wall film was used to determine film and gas core properties along with the rate of droplet interchange between the core and the film. Visual observations demonstrated that the most important characteristic of this flow regime is the surface waves generated by the gas flow over the liquid film. Despite the surface waves, these data indicate that the liquid film approximately follows the generalized u+  -  y+ relationship for turbulent pipe flow. The droplet motion is discussed in terms of transverse diffusion and momentum transfer.
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  • 21
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    AIChE Journal 11 (1965), S. 324-330 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A major problem in the analysis of complex flows of viscoelastic fluids lies in the development of a suitable constitutive equation relating stresses to the kinematics of deformation. In this paper an equation is developed from successive approximations to a very general theory of viscoelasticity. This equation, which predicts both a non-Newtonian viscosity coefficient and normal stress effects in simple laminar shearing flows, appears to reflect a reasonable compromise between simplicity and useful applicability to real materials.The use of this equation is illustrated by means of a study of rapid flows about submerged objects. The results of this study are compared with the usual boundary-layer theory for Newtonian fluids, and the implications of this comparison are discussed in some detail.
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  • 22
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    AIChE Journal 11 (1965), S. 319-324 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The foam separation process uses differences in surface activity to separate components of a solution. Stable foams can flow upward countercurrent to liquid to give countercurrent differential separations with stripping, enrichment, or scrubbing similar to solvent extraction.Six- and 24-in. I.D. foam columns were operated with sodium dodecylbenzenesulfonate solutions to measure height of transfer unit (HTU) values and foam densities and to develop satisfactory gas spargers, liquid feed distributors, foam drainage conditions, and foam condensation equipment. The HTU values for stripping of Sr-89 were about 1 cm. for the best conditions of uniform foams, liquid flows of 100 gal./sq.ft.hr. or less, and uniform liquid feed distribution with low inlet velocities. Variations of countercurrent column lengths within 10 to 28 cm. caused little variation in HTU values. The foams were condensed, with four types of pneumatic or mechanical foam breakers used. A pilot plant was designed for decontamination of a low level radioactive waste.
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  • 23
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    AIChE Journal 11 (1965), S. 331-333 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Generalized equations for vapor pressure and PVT behavior are used to develop a functional relationship between latent heat of vaporization and reduced temperature and pressure. This function leads to a graphical correlation which utilizes the slope M of the vapor-pressure curve at the critical point. The correlation gives the latent heat of vaporization at any temperature in the two-phase region for any substance for which the critical point and one vapor-pressure point are known. The correlation is particularly useful for prediction of latent heat of vaporization near the critical point by the use of information for removed from the critical. Included in the study are polar, nonpolar, organic, inorganic, and metallic substances. General predictions of latent heat as a function of temperature are within a few percent wherever comparisons can be made with experimental data.
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  • 24
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    AIChE Journal 11 (1965), S. 334-339 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The Lydersen-Greenkorn-Hougen (L-G-H) charts correlating the isothermal pressure effects on enthalpy for pure compounds based on a modified corresponding states principle have been improved with the aid of reliable literature data. To facilitate machine computations, the improved charts, divided into the superheated vapor region, the subcooled liquid region, the saturated vapor, and the saturated liquid lines, have been expressed in analytical forms. This correlation reproduces the literature enthalpy data including those in the critical region for pure compounds with an average deviation of about 5 B.t.u./lb. It can also be used for the estimation of enthalpies of nonpolar mixtures with satisfactory results.
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  • 25
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    AIChE Journal 11 (1965), S. 339-350 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Three models of a catalyst particle are examined for existence of multiple steady states depending upon whether intraparticle heat conduction or diffusion is important. The particle with constant temperature but with intraparticle diffusion is examined in detail and a necessary and sufficient condition for the stability of the steady state is obtained. Calculations are made for a particle with both intraparticle diffusion and conduction and it is shown that there may be multiple steady states some of which are unstable to small perturbations.
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  • 26
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    AIChE Journal 11 (1965), S. 351-355 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The great utility of the effectiveness factor concept to account for intraparticle diffusion lies in its simplicity of application. Unfortunately, the standard formulation leads to a separate relationship for each type of reaction rate form, which greatly complicates practical computations.A general asymptotic solution is given here which leads to the definition of a general modulus somewhat different in form from the standard one. The use of this general modulus tends to approximately bring together all of the various curves.To illustrate its use, a few new exact solutions for simple order reactions are derived and combined with existing solutions for both simple order and adsorption reaction rate forms. It is seen that all of the curves lie within a relatively narrow range. Thus the general modulus permits one to estimate the effectiveness factor for any arbitrary reaction from the existing curves.
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  • 27
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    AIChE Journal 11 (1965), S. 364-365 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 28
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    AIChE Journal 11 (1965), S. 365-366 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 29
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    AIChE Journal 11 (1965), S. 356-363 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An efficient gas absorption device has been developed based on a stable aqueous foam moving in a horizontal duct, with a gas-liquid interaction that causes only negligible pressure drops.The study of a liquid-phase and a mostly gas-phase-controlled system has indicated that their mass transfer performance can be predicted. This is based on hydrodynamic data for flowing foams, obtained in a preliminary study published elsewhere.The influence of geometry, foaming solution properties, and surfactant-caused interfacial resistance are included in the analysis.
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    AIChE Journal 11 (1965), S. 367-368 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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    AIChE Journal 11 (1965), S. 369-369 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 11 (1965), S. 369-373 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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    AIChE Journal 11 (1965), S. 370-374 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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    AIChE Journal 11 (1965), S. 370-384 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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    AIChE Journal 11 (1965), S. 381-381 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 11 (1965) 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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    AIChE Journal 11 (1965), S. 386-563 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 11 (1965), S. 563-563 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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  • 39
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    Notes: The local and the average rates of forced convection through laminar boundary layers on a flat plate were shown to be markedly increased by locating small cylinders near the outer edge of the boundary layer. The local rate of forced convection was strongly peaked directly beneath each cylinder; the magnitude of the effect depended upon the free stream velocity, the spacing between cylinders, and the gap between the cylinders and the plate. Under optimum conditions, local values of the rate of forced convection were increased as much as 340%, while the average values were increased by over 190%.
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    AIChE Journal 11 (1965), S. 853-858 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The equations normally used to predict velocity distribution and eddy viscosity in single-phase flow systems can be adapted to fit gas-solids flow systems by including a term to account for the quantity of solid matter carried by the gas stream. This solids loading is expressed as pounds of solid per pound of gas. These modified equations can then be used to calculate the pressure drop of a solids-laden gas stream flowing in a pipe by means of a two-phase friction factor. Comparison of this approach with available pressure drop data is used to check its validity and to evaluate the constants in the equations.
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    AIChE Journal 11 (1965), S. 395-402 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Experimental measurements have been performed for pulsed perforated-plate columns of different sizes and geometry to obtain longitudinal dispersion coefficients for continuous and dispersed phases and size and holdup of liquid droplets dispersed in the columns. These quantities are correlated with operating conditions and column design, including the data published by different authors. Longitudinal dispersion coefficients for the continuous phase are shown to follow the backflow model. A superficial number of stages in series in each compartment is shown to come from inherent instability of fluid motion in the compartment. The longitudinal dispersion coefficient of the dispersed phase approaches that of the continuous phase with increasing pulse velocity. Holdup and mean size of droplets are correlated mainly on the basis of the rate of energy dissipation in the column fluid. Inclusion of dispersed-phase viscosity is shown to correlate the holdup data successfully for different liquid-liquid systems.
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    AIChE Journal 11 (1965), S. 866-873 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The absorption of ammonia and oxygen in horizontal cocurrent gas-liquid froth flow in a 1-in. I.D. pipe has been investigated. At superficial liquid rates between 2 × 106 and 3.2 × 106 lb./(hr.)(sq.ft.) and superficial gas rates between 5 × 103 and 18 × 103 lb./(hr.)(sq.ft.), the length of a transfer unit in both systems was between 0.5 and 4.0 ft. The effects of distance and temperature were also investigated.With the use of James and Silberman's data on bubble size and distribution in froth flow to estimate average bubble sizes, the gas-phase-controlled ammonia absorption data could be explained by the model of unsteady state transfer from a stagnant sphere. With the use of an interfacial-area estimate from the ammonia results, the liquid-phase-controlled oxygen absorption data were correlated by a Sherwood number characterizing the transfer from the bubbles, a Reynolds number characterizing the turbulence within the system, and the void fraction.
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    AIChE Journal 11 (1965), S. 873-885 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: An analytical study of the interaction of mixing, radiation attenuation, and chemical kinetics in isothermal photoreactors is presented. For a particular chain reaction mechanism in the presence of stationary state kinetics and low conversion, the conditions required for the existence of mixing effects are formally stated, and the direction of change of conversion and quantum yield resulting from the introduction of mixing is established. Calculated results are presented for monoenergetic, unidirectional sources. Factors considered include mode of chain termination, radiation attenuation law, photoreactor geometry, state of mixing, and reactor optical thickness. Chemical and mixing time scale considerations are discussed.
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    AIChE Journal 11 (1965), S. 937-937 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 11 (1965), S. 938-940 
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    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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    AIChE Journal 11 (1965), S. 945-950 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 11 (1965), S. 951-954 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 11 (1965), S. 959-959 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 11 (1965), S. 971-980 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Notes: The system consists of a thin, transversely infinite horizontal fluid layer initially in mechanical but not thermostatic or speciestatic equilibrium. The top and bottom surfaces of the layer are assumed to be unconstrained, and the stability of the system to buoyancy driven finite amplitude roll cell disturbances is investigated. The system is capable of exhibiting both a subcritical stationary and oscillatory instability. The average vertical transport of heat and mass is computed and it is found that the convective transport associated with a stationary type of instability is much greater then that corresponding to an oscillatory instability.
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    AIChE Journal 11 (1965), S. 989-995 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: The behavior of viscoelastic fluids in the inlet region of a channel formed by two parallel flat plates has been analyzed with a Rivlin-Ericksen approximation to describe the fluid properties. It was found that viscoelasticity changed the entry length; both the magnitude and direction of this change predicted to depend upon the detailed fluid properties. These predictions of the change in the entry length were seen to find some qualitative support in available experimental evidence.The directions for further analysis, based primarily on the important observation that these materials may exhibit solidlike behavior in the immediate vicinity of the entrance, are indicated. This solidlike behavior is seen to be closely related to “melt fracture” and similar instability phenomena common to these materials; it serves to explain directly the otherwise perplexing observations concerning the similarity of such fluid fracture phenomena in materials as divergent in their properties as viscoelastic polymeric systems and inelastic dilatant slurries.
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    AIChE Journal 11 (1965), S. 981-988 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: Solutions to the creeping motion equations for a cylinder and particles in an infinite media were superimposed to calculate the first-order correction to the Stokes settling velocity for a particle inside a cylindrical container and for various models used to approximate the settling characteristics of dilute suspensions. The models were based on an assumed disribution of translating particles subject only to the hydrodynamic forces produced by their motion. Particle interactions and wall effects for ordered and random arrangements of spherical particles in a cylinder were calculated on a digital computer and used to devlop equations for settling velocity as a function of concentration.The equations developed for the models containing spherical particles were modified to apply to nonspherical particles by considering each particle as a point force with regard to the fluid motion it produces at neighboring particles. As an application of these equations, a model of a dilute fiber suspension was studied in which prolate spheroide settle perpendicular to their symmetry axes.The correction to Stokes' law for ordered arrangements of spheres is close to that obtained by earlier investigators working with similar models. However this correction leads to lower settling rates than the bulk of reported experimental data at any given particle concentration in the dilute range of less than 5% solids. The authors have shown that this discrepancy may be eliminated by assuming an alternate model composed of doublets in place of uniformly distributed particles. It may be concluded that in the dilute concentration range a model of a sedimenting suspension must include terms which reflect its tendency toward cluster formation and the consequent effect on settling rate. In order to accomplish this, forces other than hydrodynamic may have to be considered, for example, electrostatic forces.
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    AIChE Journal 11 (1965), S. 995-999 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: The results of rigorous numerical solutions of the general equations of motion are presented for isothermal, laminar, Newtonian flow in a tube entrance region for a uniform entrance velocity. Computed velocity profiles, entrance length, and pressure gradients are compared with previous theoretical and experimental results.
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    AIChE Journal 11 (1965), S. 1000-1005 
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    Notes: The equations which describe the performance of a continuous tubular photochemical reator have been formulated and analyzed by dimensional analysis. Experimental data obtained in a study of the decomposition of hexachloroplatinic acid in water were correlated as suggested by the dimensional analysis, thus partially confirming the validity of the approach.
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    AIChE Journal 11 (1965), S. 1005-1011 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: In an investigation of the transfer of solute molecules across the liquid-liquid interface, the transfer of acetic acid, benzoic acid, oleic acid, and cholesterol between benzene and water was measured. Experiments were carried out with a laminar jet apparatus wherein the organic phase was spread as a thin film on the surface of an aqueous jet. The results indicate that any interfacial resistance in these systems is negligibly small.
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    AIChE Journal 11 (1965), S. 1073-1081 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Notes: An analytical and experimental study was made of the evaporation from pure and saline water films flowing down a heated vertical surface at Reynolds numbers between 160 and 600. Visual observation showed free surface evaporation. Film continuity was poor for pure water, but good for saline water, because of the influence of temperature and salinity on surface tension gradients. Evaporation rates were predicted by (1) a constant-property boundary-layer type of laminar analysis; (2) the constant-property Dukler “eddy” treatment; and (3) a variable property laminar analysis that took into account the boiling point elevation due to salinity. The experimental evaporation rates could be correlated by dimensionless moduli arising out of the laminar analyses, but best quantitative agreement was found with the Dukler eddy treatment.
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    AIChE Journal 11 (1965), S. 1081-1087 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Notes: The initial drop size of volatile fluids evaporating within immiscible, nonvolatile liquids was experimentally related to the overall heat transfer coefficient in single and multiparticle systems. Coalescence and turbulence diminish the effects of the initial size, which are thus limited to the lower part of the exchanger where single-drop characteristics are maintained. Condensation data of single bubbles are in good agreement with the single-drop relationship.
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    AIChE Journal 11 (1965), S. 1088-1091 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: Carbon dioxide was desorbed from water in a packed column mounted on a large centrifuge. By varying the centrifuge rotational speed, the total body force acting upon the liquid was varied from 1 to 6.4 times the normal gravitational force. The results, obtained for ¾ in. Rasching ring packing, showed kLa varying with the body force to a power between 0.41 and 0.48, the exponent being larger at lower liquid flow rates. This effect of gravity is compared with penetration theory predictions and with those inferred from dimensional analysis and the effect of packing size.
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    Notes: A description is given of a dynamic vapor-liquid equilibrium apparatus in which both phases are recirculated by vane pumps especially designed for high-pressure service. Equilibrium phase compositions as well as vapor and liquid molar volumes up to the critical pressure are reported for the two binary systems nitrogen-carbon dioxide and oxygen-carbon dioxide and for the ternary.
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    AIChE Journal 11 (1965), S. 1097-1102 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Notes: Thermodynamic analysis is applied to high-pressure vapor-liquid equilibria in binary and multicomponent mixtures containing one or more noncondensable components. A thermodynamic consistency test is described, and a modification of van Laar's model is given for representing adjusted activity coefficients in binary and multicomponent liquid solutions up to the critical composition. With only experimental data used on the two binaries at 0°C., vapor-liquid equilibria are calculated for the carbon dioxide-nitrogen-oxygen ternary at high pressures. Brief reference is made to the possibility of air separation by high-pressure absorption in liquid carbon dioxide.
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    AIChE Journal 11 (1965), S. 1103-1108 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: o-Xylene vapor in nitrogen was partially oxidized by bubbling it through a melt of the 39 wt. % vanadium pentoxide-potassium sulfate eutectic at temperatures from 528° to 598°C. The principal product was o-tolualdehyde; some benzene and traces of phthalide were formed but no organic acids. These products are similar to those found in o-xylene oxidation over a solid vanadium oxide catalyst, except for the absence of acid products but are far different from the product distribution found from homogeneous oxidation with air. The rate of reaction per unit of gas-melt interface was approximately equal to that reported for oxidation of o-xylene in air on an unsupported fused vanadium oxide catalyst. With o-xylene-air mixtures bubbled through either a vanadium pentoxide-potassium sulfate eutectic melt or vanadium pentoxide-potassium pyrosulfate melt, homogeneous reaction obscured any contribution from heterogeneous processes.
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    AIChE Journal 11 (1965), S. 1108-1113 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Notes: Eddy mass diffusivities as a function of radial position for different Reynolds numbers have been determined for air flowing countercurrently to water in a wetted-wall column. The ratios of the eddy mass diffusivity to the eddy viscosity also were determined. The wetted-wall column was constructed from Pyrex glass with an I.D. of 2.75 in. and a wetted section 39 in. in length. An approach section was constructed from the same material and of adequate length to insure full development of the velocity profile. The gas phase Reynolds numbers varied from 3,200 to 54,300. The liquid phase flow was laminar. The concentration and velocity profiles of the air stream were measured experimentally and bulk temperatures of all streams were obtained. A probe was developed to measure the concentration profiles. The probe consisted of platinum wires wrapped in a helix around a glass capillary tube on which a thin layer of lithium chloride in polyvinyl alcohol had been deposited. The resistance of the probe was a reliable indication of the water vapor concentration in the air stream. The probe was calibrated and used for all concentration measurements. Eddy mass diffusivities were evaluated from a solution of the steady state mass diffusion equation by means of a digital computer with experimental velocity and concentration profiles. Qualitatively, the eddy diffusivity profiles are similar to those which have been obtained for heat and momentum transfer. When these profiles are used with the diffusion expression, they are capable of accurate evaluation of the concentration profile. The ratio of the eddy mass diffusivity to the eddy viscosity was determined and was found to be less than 1.0 over most of the cross section, but the ratio increased to values greater than 1.0 near the center and near the walls of the column.
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    AIChE Journal 11 (1965), S. 1124-1132 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: Flow regimes occurring during evaporation of Freon-12 (dichlorodifluoromethane) and Freon-22 (monochlorodifluoromethane) inside five tubes were investigated. Two flow models are proposed, one each for vertical and horizontal tube orientation. The limits of each flow regime were determined and heat transfer correlations obtained. The most significant flow regimes were found to be nucleate boiling, annular flow, and mist flow. A correlation for the transition between annular flow and mist flow was obtained.
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    AIChE Journal 11 (1965), S. 1133-1135 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 11 (1965), S. 1114-1124 
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    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A technique employing the impulse plate principle was developed whereby the ratio of the average vapor-to-liquid velocities (slip ratio) for flowing two-phase mixtures could be measured accurately at high vapor volume fractions. Data were collected for steam-water mixtures flowing adiabatically in a horizontal ½-in. tube. Flow conditions were in the spray annular and dispersed flow regimes and covered a pressure range of 30 to 80 lb.f/sq.in.abs., flow rates of 200 to 800 lb.m/(sec.)(sq.ft.), and steam qualities of 0.02 to 0.8. The experimental slip ratios, ranging between 1 and 3.5, decreased with increasing quality and pressure and increased with increasing mass velocity and pressure gradient.A theoretical analysis in which an idealized dispersed flow model was used indicated that the observed average slip ratios were caused largely by local slip between vapor and entrained droplets and that high local slip ratios may be attained near critical flow rates due to the simultaneously occurring steep pressure gradients.The total pressure gradients, computed by adding the Martinelli-Nelson frictional pressure drop prediction to the acceleration pressure gradients calculated by the use of an empirical correlation of the slip ratio data, deviated from the experimental values by an average of only 14%.
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    AIChE Journal 11 (1965), S. 1135-1137 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 11 (1965), S. 1137-1138 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 11 (1965), S. 1142-1142 
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    AIChE Journal 11 (1965), S. 1139-1142 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 11 (1965), S. 1143-1145 
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    AIChE Journal 11 (1965), S. 1145-1148 
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    AIChE Journal 11 (1965), S. 1149-1151 
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    AIChE Journal 11 (1965), S. 1151-1153 
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    AIChE Journal 11 (1965), S. 1153-1155 
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    AIChE Journal 11 (1965), S. 9-13 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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    AIChE Journal 11 (1965), S. 99-105 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Stability criteria are formulated for displacement of a fluid from an infinite porous medium by a second more dense fluid miscible with the fluid being displaced. Pure displacing fluid is separated from pure displaced fluid by a region of constant thickness in which the two fluids interpenetrate. The steady displacement process takes place at a constant velocity in the direction of gravity. It is shown that appreciable differences in pure-component densities, viscosity variation within the zone of interpenetration, and the displacement velocity can have a major effect on the stability criteria of such a flow.
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    AIChE Journal 11 (1965), S. 413-417 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Experimental coalescence time and time distribution studies of the coalescence of a single droplet at a plane interface are presented for four two-component-two-phase systems. The results have been analyzed by dimensional analysis and statistical analysis, and a correlation of coalescence time and coalescence time distribution with the physical properties of the system is proposed.
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    AIChE Journal 11 (1965), S. 418-424 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Theoretical models for the drainage of the liquid film between a droplet and the interface have been presented in which the thickness of the film is assumed to vary. The models have been used to derive expressions for the film drainage time and the pressure drop through the film. The experimental results presented in Part I of this paper, when inserted into the equations, show that the drainage film is thinnest at its periphery. These conclusions have been supported by high-speed photography and have been used to explain the distribution of coalescence times reported by all investigators in this field.
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    AIChE Journal 11 (1965), S. 424-430 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Simultaneous population and mass balances have been solved together with a generalized form of nucleation-growth rate kinetics to obtain the form of crystal size distribution (CSD) for several idealized modes of crystallizer operation, including seed crystal removal, product classification, arbitrary solids concentration, and staged vessels. The effect of holding time and feed supersaturation on crystal size in a mixed suspension, mixed product removal (MSMPR) crystallizer was also studied. A representative CSD from an MSMPR crystallizer plus the relative kinetic order of nucleation to growth rate can be used to predict CSD from any of the above modes of operation.
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    AIChE Journal 11 (1965), S. 138-144 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: If air flows concurrently with a liquid, there are critical air velocities above which two-dimensional and three-dimensional waves appear at the interface. The physical process responsible for these transitions is as follows: The disturbance in the velocity field in the air caused by these waves gives rise to pressure and shear stress variations over the wavy surface. Pressure variations in phase with the wave slope and shear stress variations in phase with the wave height transmit energy from the air flow to the liquid film. If the rate at which energy is transmitted to the waves by these mechanisms is not larger than the rate of viscous dissipation in the liquid, the waves will decay.The model of the gas flow proposed by Miles and Benjamin is used to calculate shear stress and pressure variations over the wavy surface. The agreement between predicted and measured critical air velocities, wave lengths, and wave velocities is good.
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    AIChE Journal 11 (1965), S. 595-600 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Flash X-ray radiography was used to study the internal structure of fluidized beds. Basic data were obtained on the density distribution and on void shapes, sizes, and velocities within an air-sand bed. The data obtained, in general, support the view of fluidized beds as consisting of liquidlike emulsions through which voids rise. Density measurements and void characteristics were in agreement with the two-phase flow theory and with more recent theories of fluid bed flow. Void velocities and shapes agreed with recent predictions that the dense phase behaves as a liquidlike emulsion of zero viscosity and surface tension.
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    AIChE Journal 11 (1965), S. 158-163 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The present work is concerned with an experimental study of the influence of mass transfer on the holdup of countercurrent liquid-liquid fluidized systems and the effect of solute on droplet coalescence. Of particular importance in the results obtained is the dramatic demonstration that mass transfer greatly influences the holdup when solute is being extracted from the discontinuous phase loading to strong coalescence.
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  • 82
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    AIChE Journal 11 (1965), S. 164-167 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A generalized method has been developed for the prediction of the diffusivity and thermal conductivity of nonpolar gases for temperatures up to 10,000°K. This method is applicable to monatomic gases and to diatomic gases existing in their molecular and dissociated states. Dimensional analysis has been used to obtain relationships for self- and mutual diffusivities and for the translational contribution to the thermal conductivity of these substances. For the internal contribution to thermal conductivity, a modified Eucken-factor relationship is presented. Furthermore, relationships have been developed for the calculation of these transport properties for the equilibrium mixture of a dissociating gas.
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    AIChE Journal 11 (1965), S. 174-181 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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    AIChE Journal 11 (1965), S. 167-173 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A modified thermistor anemometer probe was used to measure solid particle flow patterns in a 9.5-in. diameter fluidized bed. The probe was calibrated and found to measure the direction and mass velocity of the silica-alumina cracking catalyst used. Flow patterns were determined at heights of 6.5, 12.5, 18.5, and 24.5 in. above the support plate with superficial air velocity from 0.25 to 1.00 ft./sec. and bed depths of 14 to 30 in.Radial flow patterns were found not to be symmetrical about the axis of the bed but were similar at angles of 60 deg. This indicated that there were six similar particle flow pattern sections around the column axis.The percentage of the cross-sectional area of the fluidized bed through which the particle flow is upward was found to be approximately 60%. There was no definite dependence of this area on any of the variables studied.The catalyst bulk circulation rate, defined as the average mass velocity of the particles at a given cross section in a fluidized bed without regard to the direction of flow, was determined for each fluidization condition and correlated as a function of the superficial air velocity and the ratio of the distance above the support plate to the height of the fluidized bed.
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    AIChE Journal 11 (1965), S. 174-184 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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    AIChE Journal 11 (1965), S. 175-192 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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    AIChE Journal 11 (1965) 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 11 (1965), S. 474-480 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A technique has been developed for finding quantitative regions of asymptotic stability for nonlinear systems by using a known proof of the theorem which substantiates the linearization. In a sense, the method defines a region in which the first-order approximation is dominant from the point of view of stability. While the computations necessary can be somewhat involved, the procedure is essentially identical in all situations, and once established, can easily be used for a vast class of autonomous systems. The practical problems of both reversible and irreversible chemical reactions occuring in a continuous flow stirred vessel have been analyzed. Stability regions were obtained which are sufficiently extensive to be practical from the process viewpoint.
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    AIChE Journal 11 (1965), S. 481-487 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The local mass transfer rates from a sphere in a regular packing array have been determined by measuring the local radius change of a slightly soluble 1.500-in. diameter benzoic acid test sphere after having been immersed in a water stream. Results in the form of typical local Sherwood number profiles are reported for single spheres over a particle Reynolds number range of 166 to 1,560, and for spheres in simple cubic packing and rhombohedral packing over particle Reynolds number ranges of 488 to 2,409 and 1,680 to 3,410, respectively. All runs were made at room temperature. An idealized flow pattern around spheres in simple cubic packing is presented.
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    AIChE Journal 11 (1965), S. 197-201 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An experimental study in the behavior of nitrogen and neon pool boiling was performed. The test section consisted of a vertical pipe 3 in. O.D. × 7½ in. long. The variables studied are: heat input, submergence, and surface finish. Several copper heaters were tested, in addition to nickel and cadmium plated heaters. The results were correlated for nitrogen by an equation which gave an average deviation of ± 16% for all the heaters except the cadmium plated heater. The paper describes the experimental equipment and technique, summarizes the data, and compares them to literature values and equations.
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    AIChE Journal 11 (1965), S. 202-204 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The object of this paper, first in the series dealing with the generalized thermodynamic properties of real gases, is to present generalized compressibility charts in the reduced temperature range of 1.0 to 15.0 and a reduced pressure range of 0 to 40.0. A detailed summary of deviations of the present charts with PVT values of different gases is presented. A summary of the comparison of the present charts with the existing charts is also given.
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    AIChE Journal 11 (1965), S. 205-207 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: By use of a least-squares technique, a set of parameters for the generalized Benedict-Webb-Rubin equation is determined. The generalization of the equation is based on the modified theorem of corresponding states. The generalized equation shows a grand average absolute deviation of 1.6% in predicting the observed values of reduced pressure. The set of constants has been determined for densities up to twice the critical density in the reduced pressure range of 0 to 40.0 and a reduced temperature range of 1.0 to 15.0. The recommended generalized constants are Ao′ = 0.24180980, ao′ = 0.04407059 a′ α′ = 0.11369478 × 10-3, Bo′ = 0.07643101, b′ = 0.03715171, Co′ = 0.21217005, c′ = 0.06448001 and γ′ = 0.06.
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    AIChE Journal 11 (1965), S. 666-673 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Very rapid, rapid, and slow second-order reactions were studied in an isothermal turbulent flow reactor. The two aqueous reactant solutions were separately introduced through many alternate jets and the reaction took place in the resulting nonhomogeneous mixture. Very rapid reactions were diffusion controlled and were in agreement with earlier theory. All reactions followed second-order rate laws based on time average quantities. The apparent reaction velocity constant was controlled by the mixing for very rapid reactions, by the chemical kinetics for slow reactions, and by both mechanisms for rapid reactions.
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    AIChE Journal 11 (1965), S. 656-661 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A theoretical and experimental investigation has been made to determine the effect of the concentration level on the rate of mass transfer of a solute from a nontransfering or inert carrier gas in turbulent flow.Diffusion theory predicts the gas phase mass transfer coefficient to be inversely proportional to the first power of the mean mole fraction of the nontransferring gas and to be a possible function of the rate and direction of mass transfer.The results of an experimental study of the absorption of ammonia from mixtures with nitrogen into distilled water and aqueous ammonia solutions in a short wetted-wall column verified the predicted inverse relationship between the turbulent gas phase absorption coefficient and the first power of the mean inert mole fractions ranging from 0.068 to 0.934. The data also showed that for the range covered in this investigation there was no significant influence of the mass transfer rate on the product of the coefficient and the mean mole fraction of the inert carrier gas.
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    AIChE Journal 11 (1965), S. 673-677 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A scheme is outlined which enables the calculation of the normal stress difference P11-P22 in fluids undergoing steady Poiseuille flow from measurements with a pitot tube of local velocity distributions. This new technique should enable measurements in a region of shear rate comparable to that encountered in the torsional and circular flow methods. A particularly interesting consequence of the method is it leads one to the inescapable conclusion that the presence of finite normal stresses should produce significant aberrations on the measurement of the velocity profile in the laminar flow of viscoelastic fluids. The presence of a P11-P22 induced aberration on the velocity profile measurement suggests that caution be exercised in the practice of deducing estimates of the thickness of a boundary layer in the nonlaminar flow of these fluids.
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    AIChE Journal 11 (1965), S. 526-532 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A method has been developed for the calculation of the viscosity of nonpolar gas mixtures at moderate and elevated pressures from the molecular weights and critical constants of the components. By the use of available experimental data and appropriate pseudocritical constant rules, results obtained previously for the viscosity of pure gases have been extended to mixtures. Viscosity values calculated by the method developed in this study for a number of nonpolar gas mixtures were found to reproduce reported values with a high degree of accuracy.
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    AIChE Journal 11 (1965), S. 532-538 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An analytical solution is presented for the nonlinear frequency response of a system in which radiant heat transfer is coupled with conduction. The model is that of an object inside an evacuated enclosure whose wall temperature oscillates about a mean. A perturbation analysis solves the describing equations for oscillatory amplitudes less than one-tent the mean wall temperature. An exact solution to a Ricatti differential equation verifies the perturbation analysis. These solutions show that, contrary to linear experience, the average object temperature over an oscillatory cycle exceeds the mean at the wall.The complete solution for the frequency response can be divided into three regimes. In the first, at low frequencies, all response is truly linear. In the second, higher harmonics become important, but the response remains that of a lumped parameter systems. In the third, response changes with distance from the object surface and the response at the surface dominates. Nonlinearities are important in the second and third regimes. The solution has several applications.
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    AIChE Journal 11 (1965), S. 253-258 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The dependence of the dynamic characteristics of distillation column sections on the shape of the equilibrium relationship and the number of plates comprising the section is discussed. Dynamic characteristics, valid near the steady state operating condition, were obtained for simple column sections separating binary mixtures by a straightforward calculation with a digital computer. Sections with concave downward equilibria respond significantly more slowly than comparable sections with linear equilibria. Sections with concave upward equilibria respond faster. This behavior is explained in terms of the internal recycle within the section. The rate of propagation of a disturbance from end to end in the section is only weakly influenced by the shape of the equilibrium relationship.
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    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The use of chromatographic retention volume data to obtain vapor-liquid equilibrium coefficients has been extended to a ternary system with all components present at finite concentrations in the liquid phase and essentially a light binary gas comprising the vapor phase. The data are obtained by observing the retention time of the solute of interest when that solute is eluted by a flowing gas stream through a column packed with an inert porous firebrick on which is impregnated a fixed, relatively nonvolatile liquid. The retention times are used to compute retention volumes which may be related to the K values of the solute.A previous mathematical description of the elution process is modified to include the case of an N component elution gas, all constituents of which are soluble in the fixed liquid phase. A general solution is derived for the multicomponent elution gas from which K values for each component may be calculated if retention volume data are taken for each, provided molecules of the solute samples used are distinguishable from others of the same species present in the eloution gas. For the case of indistinguishable sample molecules, the rate theory development of Stalkup and Deans is verified for a binary elution gas.Sufficient retention data were taken to completely define the concentration dependence of the K value for propane in the system methane-propane-n-decane at -20°, 0°, 40°, and 70°F. from 20 to 1,000 lb/sq.in.abs. Six methane-propane binary mixtures were used as elution gases, consisting of 2.08, 4.31, 6.90, 9.44, 13.09, 16.27 mole % propane. Retention data were also taken for methane under the same conditions. Distinguishability of sample molecules was achieved by using radioactive solute samples tagged with carbon-14.Propane retention data were also obtained for the system methane-propane-n-heptane at -20° and -40°F. from 100 to 1,000 lb./sq.in.abs. for propane at infinite dilution and for binary elution gases composed of 2.08 mole % propane at -40°F. and 4.31 mole % propane at -20°F.All K values determined chromatographically were either compared directly with published static equilibrium values or tested for consistency with such values and found to be in substantial agreement.
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    AIChE Journal 11 (1965), S. 268-273 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The motion of individual air bubbles in a water stream flowing turbulently in a 4 in. × 4 in. vertical conduit is investigated by photographic means. The bulk water velocity ranges from 40.8 to 267 cm./sec., corresponding to a system Reynolds number range of 48,600 to 386,000. Both tap and demineralized water were used at or near room temperatures. Air bubbles range from 0.038 to 0.70 cm. in equivalent radius and the corresponding bubble Reynolds number based on relative velocity ranges from 58 to 4,500.The results indicated that the bubble relative velocity in a turbulent water stream is similar to the rise velocity of single bubbles through a quiescent liquid. It was found to be practically independent of the system Reynolds number for bubbles having an equivalent radius above 0.3 cm. Large fluctuations in the bubble velocities were noted in all cases. The drag coefficient is, in general, lower for the demineralized water tests than for tap water when the bubble Reynolds number is below 2,000. Above this value, a mergence of the drag coefficients for all tests occur with a peak of approximately 2.0 at a bubble Reynolds number of 3,000, which is lower than the nonflow value of 2.6.
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