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  • Chemical Engineering
  • 1965-1969  (312)
  • 1967  (312)
  • 1
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 13 (1967), S. 764-768 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Single seed crystals of potassium chloride were grown from aqueous solutions under conditions of constant temperature, supersturation, and impurity concentration. With emission spectrography as the method of analysis, the distribution of various metal ion impurities between the grown potassium chloride crystal and the solution was studied. The distribution coefficients of Pb++, defined as the ratio of the impurity concentration in the crystal to the concentration in solution, were found to be greater than unity at very low concentrations. The lead distribution coefficients varied between 2,700 for solutions containing 10-8 moles of lead/mole of potassium chloride to 28 (for solutions of 10-5 moles of lead/mole of potassium chloride).The results suggest a mechanism of nonequilibrium capture of the impurity. The magnitude of the distribution coefficient is shown to depend on the equilibrium distribution coefficient between the solution and surface of the crystal, the rate of growth of the crystal, and the rate of diffusion of the impurity through the crystal lattice. These results are believed to be of significance in the purification of materials by fractional crystallization. For instance, they indicate that in order to produce crystals of lead-free potassium chloride, the conventional techniques or recrystallization should be modified to include rejection of the first crystals grown.
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  • 2
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 13 (1967), S. 788-792 
    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 empirical study was made of the flow characteristics of a stable aqueous foam (based on dilute solutions of saponin) moving horizontally inside a duct. Characteristic foam data have been determined experimentally, namely, drainage, interfacial areas, and related dimensions such as lamella thickness and foam cell size, fractional liquid holdups, foam velocities, and extent of gas channeling through the foam. Simple correlatability of drainage, interfacial area, and fractional liquid holdup in terms of basic parameters such as the liquid flow rate entering the apparatus, and the longitudinal position in the duct has been demonstrated. The sometimes simple dependence on the geometry of the perforated gas-liquid contactor and on the physical properties of the foaming solutions (surface tension and bulk viscosity) has also been described.
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  • 3
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 13 (1967), S. 797-800 
    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 captured vortex system produced by the flow of a fluid along a plate containing a transverse rectangular cavity was investigated by measuring the local mass transfer coefficient kg on the cavity walls. Both transverse and peripheral kg profiles are presented for cavity depth-to-length ratios of 0.5, 1.0, and 2.0 at free-stream velocities of 6.8, 13.5, and 27 ft./sec. for water evaporating into air. These profiles reflect the three-dimensional nature of the flow in the cavity.
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  • 4
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 13 (1967), S. 809-810 
    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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  • 5
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 13 (1967), S. 814-815 
    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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  • 6
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 13 (1967), S. 817-821 
    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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  • 7
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 13 (1967), S. 824-825 
    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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  • 8
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 13 (1967), S. 860-865 
    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 reduction in gas desorption through surface active monolayers on a water substrate has been investigated for five compounds (1-hexadecanol, 1-octadecanol, 1-docosanol, 1-eicosanoic acid, and 1-docosanoic acid) and four gases (oxygen, nitrogen, methane and carbon dioxide) at 25°C. Gas transport was retarded significantly at high surface coverage and decreased nonlinearly with change in surface coverage past the point equivalent to zero surface pressure.Interphase mass transfer coefficients for transport through the films were calculated, but no simple correlation could be discovered which could be used to predict film coefficients or the reduction as a function of surface coverage.
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  • 9
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    AIChE Journal 13 (1967), S. 872-876 
    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 investigation was carried out to determine the effects of vibration of the heat transfer surface in saturated pool boiling of water at atmospheric pressure. Wires of 0.01 in. diameter were heated electrically and vibrated electromagnetically at frequencies ranging from 20 to 115 cycles/sec. and amplitudes from 0.0118 to 0.0701 in. An increase in heat transfer up to a maximum of 200% at low ΔT was observed for an increase in frequency and/or amplitude. At a heat flux of 105 B.t.u./(hr.) (sq. ft.) high-speed motion pictures were taken at 4,800 frames/sec. of a wire vibrating at 45 cycles/sec. with an amplitude of 0.0492 in. Comparison of these films with those taken at the same heat flux without vibration showed that the generating period and diameters at break-off for the pulsed wire follow normal distribution. The waiting period is much longer and more fluctuating in nature. A slight increase in bubble emission frequency was also observed for pulsating wire.
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  • 10
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    AIChE Journal 13 (1967), S. 890-895 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: For a trial multistep mechanism for a heterogeneous catalytic reaction, it is suggested that dynamic experiments can be used to calculate the forward and reverse rate constants of individual steps. The experiments consist of the measurement of the composition of the effluent from a continuous stirred-tank catalytic reactor as a function of time as the input composition to the reactor is perturbed. The method of moments is used to obtain the kinetic constants for a trial mechanism from the experimental data.
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  • 11
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    AIChE Journal 13 (1967), S. 903-908 
    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 pyrolysis of propane has been studied over the temperature range 830° to 1180°C. with a single-pulse shock tube employed to effect rapid heating and quenching. Both the uncatalyzed decomposition and the decomposition catalyzed by hydrogen sulfide were studied. First-order rate constants for the uncatalyzed reaction are in excellent agreement with published data obtained in nonisothermal, tubular reactors. The product distribution differs from that obtained in other studies. It is characterized by decomposition of propane via two routes at roughly equal rates, one route leading to propylene and hydrogen, the other to ethylene and methane or ethane. Propylene subsequently is converted, almost stoichiometrically, to ethylene and acetylene. Hydrogen sulfide accelerates the initial decomposition of propane, thus maintaining high propylene selectivity to high propane conversion. A free radical mechanism is used to explain the gross features of the pyrolysis.
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  • 12
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    AIChE Journal 13 (1967), S. 915-925 
    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 chlorination of propane was studied in a tubular flow reactor, with outside illumination, at atmospheric pressure. At chlorine concentrations of less than 1.5 mole % (and inert nitrogen above 94%) a second-order (in chlorine) rate expression was indicated. At higher chlorine or propane concentrations propane affects the rate. Two rate equations, based upon different termination steps for the chain carriers, were found to fit the data. For the low concentration region the apparent activation energy for the overall reaction was 3.4 kcal./g.-mole. Most of the measurements were carried out with polychromatic light, but data taken with a narrow band of radiation, over the range 2,200 to 5,400Ā, showed an increase in rate with decreasing wave length. As a first step toward reactor design, differential reactor data were used to predict the conversion for laminar flow, integral reactor conditions. A reactor model which included the effects of residence time distribution and radial variation in light intensity gave good agreement with experimental data. A plug-flow model was less satisfactory.
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  • 13
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 13 (1967), S. 955-961 
    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 molecular theory for the stress P in a concentrated polymer solution is evaluated for simple shear flow. Three rheological functions (P12, P11 - P22, P11 - P33) are predicted to be dependent on shear rate γ in a very complicated fashion, and are displayed graphically. A unique feature is that P22 - P33 is shown to have the same sign as P11 - P33 at low shear, a result in agreement with most experimental data and not predicted by other theories. A comparison with two sets of data verifies the prediction of relative behavior of shear and normal stresses at low γ, but the theory fails to fit data at high γ. Reasons for the success of the reducing factors c2 or c3 (where c is mass concentration) in constructing master curves for normal stress are suggested.
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  • 14
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    AIChE Journal 13 (1967), S. 973-981 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Five different variations on the basic quasilinearization algorithm for optional control are applied to a six-variable nonlinear gas absorber system. Convergence of the algorithms to the optimal trajectory with better than 1% accuracy is achieved in less than ten iterations. The region of initial starting points which yield convergence is quite large. The main difficulty encountered is due to instabilities of the maximum principle equations. This limitation is, however, not severe and it is possible to predict a priori when the difficulty will occur. It is concluded that quasilinearization is a feasible algorithm for the optimization of nonlinear unconstrained systems.
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  • 15
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    AIChE Journal 13 (1967), S. 995-998 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Emulsion drop size distributions have been measured at various locations in a turbine mixer for the methyl isobutyl ketone-salt water system. The drop sizes are strongly dependent on the sampling position, being smallest near the impeller tip and largest at the bottom of the mixing tank. The variation of drop diameter with impeller speed has been studied and indicates that droplet breakup predominates near the impeller, whereas the coalescence of emulsion droplets can be controlling in other locations.
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  • 16
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    AIChE Journal 13 (1967), S. 1014-1016 
    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 this note convective diffusion in stagnation flow is discussed in the context of membrane separation processes, reverse osmosis in particular. It is shown that this is a desirable configuration for determining the rejection parameter R, a measure of how imperfect the semipermeable membrane interface is, because the dimensionless concentration function depends only on η.A simple approximate analytical solution is developed for (wsw/wse) which applies to separation processes in general. For reverse osmosis, NSc ≃ 560 and in this case the approximate results are compared with exact numerical calculations. It is found that the analytical solution is very accurate up to a polarization of (wsw/wse) ≃ 4 which constitutes a wide range of practical interest. For completeness, numerical results are reported up to a polarization of about 30.
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  • 17
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    AIChE Journal 13 (1967), S. 1020-1024 
    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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  • 18
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    AIChE Journal 13 (1967), S. 1030-1031 
    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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  • 19
    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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  • 20
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    AIChE Journal 13 (1967), S. 1058-1066 
    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 mathematical model termed the blind side channel model is developed to describe the washing performance of liquid retained in a bed of granular solids. The effects of operating variables and system's parameters, such as the flow rate of wash liquor, the diffusivity of the liquid system, and the thickness of the bed, are discussed. The experimental washing study was carried out with granular solids such as glass beads, sand, and crystalline solids, and application of wash liquors miscible in all cases with the residual liquid in the bed, drained by centrifuging. Results from the developed model showed very good agreement with the experimental results. The developed model would be valuable in analyzing the washing performance for process improvement and in designing washing systems.
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  • 21
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    AIChE Journal 13 (1967), S. 1077-1080 
    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 parallel-plate thermal diffusion column packed with glass wool was operated in continuous flow. The standard equation used for continuous flow through nonpacked columns satisfactorily correlates separation and flow rate. The packed-column theory correctly gives the effects on the regression coefficients of plate spacing and packing permeability, the two variables unique in the packed column. The theory gives poor approximations of the absolute magnitudes of the coefficients, however, which is the same situation found in results from nonpacked columns.
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  • 22
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    AIChE Journal 13 (1967), S. 1193-1196 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: This paper describes an investigation of the settling characteristics of spherical particles in Bingham plastic fluids. A stress analysis is used to derive a nondimensional parameter which describes the laminar settling regime. The terminal velocities of spheres in the Reynolds number range of 2 to 130 have been determined. These, together with published data at higher Reynolds numbers, are shown to substantiate the theoretical argument.A correlation of drag coefficient as a function of the settling parameter indicates the transition from laminar to turbulent settling.
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  • 23
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    AIChE Journal 13 (1967), S. 1205-1207 
    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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  • 24
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    AIChE Journal 13 (1967), S. 1211-1213 
    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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  • 25
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    AIChE Journal 13 (1967), S. 1226-1229 
    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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  • 26
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    AIChE Journal 13 (1967), S. 224-230 
    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 basic equations that describe the thermal diffusion column, including the forgotten effect, were solved numerically. When the density of the liquid in the column varies with concentration, the effect is important in transient batch operation of columns, increasingly so as the wall spacing decreases, but it has no influence at the steady state. Experimental work corroborated the theoretical results.According to the theory, the instances of concentration reversal reported in the literature cannot be the result of the forgotten effect; the fluids involved could not have had the necessary properties. Attempted duplications of these instances in careful experiments yielded normal behavior. However, theoretical and experimental work on a column with a deliberately nonconstant wall spacing indicated that concentration reversals could occur in the complete absence of any forgotten effect contribution.
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  • 27
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    AIChE Journal 13 (1967), S. 245-249 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Supersaturated solutions with randomly distributed seed crystals were formed by jet mixing of saturated slurries of urea - decane adduct and decane - urea - ethanol solutions. The resulting crystal growth rates were measured quantitatively with a rapid-mixing, stopped-flow calorimeter. Nucleation of additional crystals was negligible. Times required for 90% adduction ranged between 0.375 and 25.5 sec., a 68-fold variation. A single dimensionless chronomal which adequately represented all the kinetic data was obtained. In all runs, liquid phase mass transfer appeared to control the rate of adduction, despite the fact that the rapid mixing greatly reduced mass transfer resistance. Whereas the data were consistent with several equations describing models based on diffusional rate control, the results did not support mechanisms involving surface phenomena.
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  • 28
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    AIChE Journal 13 (1967), S. 250-253 
    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 terminal velocity of bubbles in low viscosity liquids of infinite extent is known to undergo a marked transition in behavior at an equivalent radius in the order of 0.07 cm. This transition is apparently due to a change from viscous to inviscid flow. It is also known that the inviscid flow regime can be further subdivided into surface tension- (Weber number) and buoyancy- (Froude number) dominated regimes. This behavior of rising bubbles is strikingly similar to the behavior of surface waves propagated over deep water. The analogy is found to be in quantitative agreement when the wavelength is suitably interpreted in terms of bubble dimensions. The inference of this analogy is that bubbles may be thought of as interfacial disturbances whose rate of propagation is governed by the well-known laws of wave motion.
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    AIChE Journal 13 (1967), S. 379-383 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Numerical solutions of the equations that describe steady state, forced-convection mass transfer around single circulating or noncirculating gas bubbles have been obtained for both first- and second-order chemical reaction conditions. For the noncirculating bubbles, solutions have been obtained up to Reynolds numbers of 200 with Kawaguti velocity profiles used to describe the flow. In the case of circulating gas bubbles, Kawaguti profiles have been utilized up to Reynolds numbers of 80, while the potential flow velocity profiles have been used for higher Reynolds numbers. The numerical results for circulating gas bubbles have been compared with penetration theory for both first- and second-order chemical reactions. For the case of noncirculating gas bubbles the solutions for physical mass transfer have been compared with the Ranz and Marshall correlation as well as with the results of Griffith and the more recent work of Tsubouchi and Masuda.
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    AIChE Journal 13 (1967), S. 389-392 
    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 13 (1967), S. 393-394 
    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 13 (1967), S. 395-396 
    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 13 (1967), S. 396-397 
    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 13 (1967), S. 397-400 
    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 13 (1967), S. 52-60 
    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 unified theory of one-dimensional, adiabatic, separated, two-phase flow is presented. To describe the flow adequately, four mixture specific volumes are defined. They are based on area, momentum, kinetic energy, and velocity averages. Increasing relative velocity between the phases initially lowers all mixture specific volumes except the velocity average. The momentum average specific volume minimizes when the slip ratio equals (Vg/Vf)1/2, while the kinetic energy average specific volume reaches its minimum value at a slip ratio of (Vg/Vf)1/3. Area average specific value does not minimize with slip ratio.Because a higher slip ratio would decrease the entropy of a closed system, (Vg/Vf)1/3 is the maximum slip ratio attainable in two-phase critical flow. Based on the maximum slip ratio and isentropic flow, a new critical flow model was developed and compared with the steam-water critical flow data of four recent investigations. While the predicted flow rates followed well the pressure behavior of the experimental data, they were too low at high qualities and too high at low qualities. The average percentage difference between experimental and predicted critical flow rates was -8.5% (three hundred and seventy-six data points).Differences in the approach to critical flow between a gas and a vapor-liquid stream appear to be caused by the latter's increased frictional and gravitational pressure drops and relative velocity effects.
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    AIChE Journal 13 (1967), S. 70-77 
    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 the first part of this paper a theory for isothermal homogeneous two-phase, liquid-gas flow in horizontal pipes is established by introducing the concept of Mach number and by considering the medium to be a pseudo gas. The theory takes account of wall friction, compressibility and flow choking. A set of working formulas is obtained. In the second part, results of experiments on homogeneous bubbly flows of water-air mixtures in a 1-in. Pipe are reported. Criteria for the occurrence of bubbly flow are established and the occurrence of flow choking confirmed. It is shown that the mathematical model is adequate insofar as it explains, phenomenologically, real flow conditions.
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    AIChE Journal 13 (1967), S. 410-410 
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    AIChE Journal 13 (1967), S. 617-617 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 13 (1967), S. 618-618 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 13 (1967), S. 97-101 
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    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An analytical solution based on a previously proposed entrance model is developed for the case of flow at low Reynolds numbers. Agreement between this solution and the published numerical solution at this Reynolds number limit supports the authenticity of the numerical solutions presented previously.
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    AIChE Journal 13 (1967), S. 108-113 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: It is shown that the first variation method can be used to provide an excellent starting condition for the second variation control of nonlinear systems. Numerical examples illustrate the basic features of the methods.
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    AIChE Journal 13 (1967), S. 125-131 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: A mathematical model of dynamic distillation was verified experimentally for transients resulting from a sequence of upsets in operating conditions, that is, for upsets occurring in the unsteady state before the effects of previous upsets died out.The equations for feed-forward control of the top product composition by reflux ratio control action were derived and a computer program was written in FORTRAN for solution on a digital computer. This control model was employed in the feed-forward control of an experimental distillation column when subjected to an upset in feed composition.Experimental data were obtained from a twelve-plate, 10-in. diameter distillation column with a methanol-tertiary butyl alcohol system. The numerical technique employed is a completely general divided difference method which can be utilized in the solution of any system of first-order differential equations.
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    AIChE Journal 13 (1967), S. 755-759 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: Ice crystals were grown in water or sodium chloride solutions by direct contact with evaporating butane. In water subcooled 0.01° to 0.05°C., the particles grew about one-quarter to one-half as fast as fast as predicted from heat transfer correlations. The growth rates in 2% salt solution were about sevenfold lower than those obtained in water at the same subcooling, because the concentration difference for salt diffusion lowered the interface temperature. Calculations indicate the diffusion effect to be much greater for disk-shaped particles than for spheres.
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    AIChE Journal 13 (1967), S. 784-788 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: A new experimental method of determining partial volume is described. The method requires the measurement only of a series of absolute and differential pressures. It is applicable to the determination of the partial volume of an infinitely dilute solute in a gas mixture up to high pressures. Measurement by this method can be readily performed at conditions of temperature and pressure so far unexplored to yield essential data for equation of state analyses.
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    AIChE Journal 13 (1967), S. 810-813 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 13 (1967), S. 815-816 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 13 (1967), S. 821-823 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 13 (1967) 
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    AIChE Journal 13 (1967), S. 835-1017 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 13 (1967), S. 835-835 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 13 (1967), S. 839-845 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Parameters of the two-phase model for mixing in fluidized beds were evaluated from a large amount of available literature data. The dense phase dispersion coefficients and the cross flow, or interphase transfer, coefficients, based on the consistent model calculations, were correlated with operating conditions. A strong effect of bed length-to-diameter ratio was found for the dense phase mixing but not for the cross flow. On the basis of the given kinetics information with the mathematical model parameter correlations, some chemical reactor conversions from the literature were predicted by a priori calculations.
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    AIChE Journal 13 (1967), S. 965-972 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Liquid phase adsorption has been one of the latest unit operations to receive theoretical treatment because of the relative complexity of the mechanisms involved. The purpose of this investigation is to present an improved method for solving problems, especially where intraparticle diffusion is a rate controlling mechanism. Appropriate boundary conditions for liquid phase adsorption and a general nonlinear equilibrium relation are included in deriving a system of partial differential equations describing the process.The mathematical model consists of a bulk phase material balance, an intraparticle diffusion equation, and a rate for interphase transfer; these equations must be solved simultaneously with the boundary conditions and equilibrium function. A numerical procedure is developed and discussed for use on a high-speed computer.The results are sets of computed curves for four liquid systems, each requiring a separate computer solution because of changes in feed concentration or equilibrium relationship. It is shown that for three of the four systems tested in this research, experimental data correlate with computed results better than in earlier work. Although the solution of this model has been carried out for particular examples, it should be applicable in the case of other liquid phase systems following the assumed mechanisms.
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    AIChE Journal 13 (1967), S. 989-995 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: The drop size distributions resulting from the agitation of immiscible liquids were measured over a wide range of parameters. The average drop size is correlated by \documentclass{article}\pagestyle{empty}\begin{document}$ \overline D _{32}/L $\end{document} = 0.053 NWe-0.60. The distribution function for volume fraction is normal and depends only upon \documentclass{article}\pagestyle{empty}\begin{document}$ \overline D _{32} $\end{document}. The results are valid for very dilute solutions wherein coalescence of droplets plays no role in the dispersion mechanism.
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    AIChE Journal 13 (1967), S. 1007-1013 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Notes: A new method for measuring the frequency of coalescence of drops in an agitated tank is proposed. It makes use of the fact that the rate of establishment of a new steady state mean drop size following a reduction in agitation intensity is related to the coalescence frequency in the tank. This method allows independent examination of the effects of drop size and impeller speed on coalescence frequency, and has the advantage that, since the measurement is not dependent upon the addition of external substances, high degrees of purity can be maintained and the effect of trace additions to the dispersion observed. The results provide some support for the assumption of an inverse proportionality between coalescence frequency and drop size. For constant drop size, coalescence frequency was found to depend on impeller speed raised to the power of 1.3 to 1.65 and the volume fraction of dispersed phase to the power of 0.6. The magnitude of density difference between the phases and the operating temperature were found to affect coalescence frequency, although it is suspected that these two effects are interrelated. The addition of small quantities of simple electrolytes to the continuous phase was found to cause a marked reduction in coalescence frequency.
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    AIChE Journal 13 (1967), S. 1092-1098 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A nonlinear unsteady state convective diffusion problem that describes the performance of a constant pressure cell is studied. The cell can be used to either determine membrane constants or to carry out batch filtration operations. It consists of a cylinder closed by a semipermeable membrane at one end and a piston at the other.The nonlinear partial differential equation governing the system was solved by both integral methods and the use of a similarity transformation. The similarity approach formulates the solution in the form of an infinite series and reduces the problem to finding the solution of an infinite system of ordinary differential equations. The series solution can be considered to be exact but its convergence is questionable for large values of time in the event B ≠ 0; when B = 0, the convergence is substantially better.Approximate solutions obtained by integral methods were examined in detail. It was found that the results obtained by these methods can involve serious errors, under certain circumstances, and these errors seem unpredictable a priori. Consequently, it is concluded that considerable care should be taken in the use of integral methods for solving mass transfer problems in which the velocity field is coupled with the convective diffusion equation and its boundary conditions.The numerical results obtained in this work are sufficiently comprehensive to be used, in conjunction with experimental data, to determine membrane constants which are required for the design of both continuous and batch membrane separation systems.
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    AIChE Journal 13 (1967), S. 1114-1117 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: In this paper a method is presented for the computation of the heat transfer coefficient in a gas-air burner in the presence of combustion-driven transverse mode oscillations. By considering the oscillations in pressure within the chamber to be small compared with the mean chamber pressure, and to be known, methods of acoustics may be used to determine the average energy density of the acoustic waves at the wall. Consideration of this acoustic energy to create greater mixing in the boundary layer enables the heat transfer problem to be considered by the Dankwerts-Mickley model for turbulent heat exchange. With suitable definition of a friction velocity in terms of the friction velocity v* for fully developed turbulent pipe flow and the root mean square particle velocity of the acoustic wave (ar.m.s.ω), it is found that agreement exists between the computed ratio of heat transfer coefficients, with and without combustion-driven oscillations and the experiments of Zartman, which appear to be the only experimental data for transverse oscillations in a gas-air burner.
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    AIChE Journal 13 (1967), S. 1155-1159 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The pressure drop of water was measured when water flowed through a bed of stainless steel ball bearings packed in an ordered rhombohedral geometry. Experiments were carried out with eleven different packed beds, encompassing the entire range of the square-base array, in the same 10.85 by 10.85 by 30-in. rectangular test column in a forced circulation loop at modified Reynolds numbers up to 17,000. The test variables included water velocity, bed voidage, spacing between adjacent balls, ball diameter, and bed height. Curves of friction factor vs. Reynolds number are presented. An increase in the relative horizontal spacing between balls was found to have a more important effect than an increase in voidage in decreasing the pressure drop. A general correlation relating the mutual effects of bed voidage and ball spacing on pressure drop that would bring all the data points together, especially in the transition flow region, could not be found. As a result, the system appears to consist of two distinct parts separated at the minimum packing density. A correlation was found only for the first, but from a practical point of view more important, region. Data may be corrected for bed voidage, but only for small variations in ball spacing, by the ratios of (1 - ε)/ε3 at the two voidages. No entrance and exit effects could be measured beyond the first seven ball layers.
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    AIChE Journal 13 (1967), S. 1237-1237 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 13 (1967), S. 37-41 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: Inclination of a flat-plate thermal diffusion column from the vertical axis substantially increases the separation efficiency by reducing the remixing effect. Theoretical considerations show that when the column is at the best inclination, maximum separation, maximum production, or minimum column length may be obtained. A generalized graphical solution of the conditions for best performance is presented. Experimental results for the system benzene-n-heptane are in excellent agreement with the theory.
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    AIChE Journal 13 (1967), S. 41-44 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Notes: A new freezing process for the desalination of seawater is being developed which utilizes a unique way of upgrading heat energy where there is no gas phase involved. This method takes advantage of the abnormal melting point curve of water. Water melts at a lower temperature under a higher applied pressure (that is, (dp/dT) melting 〈 0), while an ordinary substance melts at a higher temperature under a higher applied pressure (that is, (dP/dT) melting 〉 0). Due to this differnce a substance which melts at a temperature lower than the freezing point of an aqueous solution may melt at a temperature higher than the melting point of water at a sufficiently high pressure.Thus, a suitably selected working medium can be used to form a cyclic auxiliary system which can be incorporated with the main system to: remove the heat of crystallization of water in the partial freezing of an aqueous solution by melting the working medium at a low pressure, and to supply the heat for melting the ice by solidifying the working medium at a sufficiently high pressure.
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    AIChE Journal 13 (1967), S. 60-69 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: This paper presents vapor-liquid equilibrium data for the system hydrogen - benzene - cyclohexane - n-hexane over the pressure range of 500 to 2,000 lb./sq.in.abs. and the temperature range of 200° to 300°F. Experimental equipment was constructed that was capable of operating at pressures of 3,000 lb./sq.in.abs. and at temperatures of 400°F. A static equilibrium cell, which had a sample port for both the liquid and vapor phases, was employed. Separation of the hydrogen from the hydrocarbons by means of a liquid nitrogen cold trap was utilized before performing the hydrocarbon analyses on a mass spectrometer. Three hydrocarbon mixtures were charged to the equilibrium cell, and for each charge, isotherms of 200°, 250°, and 300°F. were run for equilibrium pressures of 500, 1,000, 1,500 and 2,000 lb./sq.in.abs. These thirty-six quaternary equilibrium runs resulted in a total of one hundred and forty-four equilibrium data points. In addition, four binary equilibrium runs were determined both for the hydrogen-benzene and hydrogen-cyclohexane systems. A modified version of the Chao-Seader correlation was used to predict the data. This correlation was able to predict all the quaternary equilibrium ratios with an average deviation of 4.86%.
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    AIChE Journal 13 (1967), S. 77-85 
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    Notes: Finite-difference methods were used to compute hydrodynamic instability due to natural convection in an enclosed horizontal rectangular region heated from below. Critical Rayleigh numbers were determined for a series of Prandtl numbers and length-to-height ratios. For Prandtl numbers greater than unity excellent agreement was obtained between these calculations and the values predicted by Kurzweg on the basis of a linearized theory. However, for Prandtl numbers less than unity the critical Rayleigh numbers exhibited a dependence on NPr, which was not predicted by the linearized theory. For Rayleigh numbers greater than the critical, complete temperature and velocity fields were determined.The calculations assumed that the fluid motion is two dimensional. Experiments have indicated that the flow may be two or three dimensional depending on minor perturbations in the boundary conditions.Although a number of metastable two-dimensional circulations are possible for symmetrical initial conditions, the calculation always converged to a single, unique solution for any asymmetric initial condition.
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    AIChE Journal 13 (1967), S. 182-186 
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    AIChE Journal 13 (1967), S. 191-192 
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    AIChE Journal 13 (1967), S. 273-279 
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    Notes: A study of the motion of the interface in two-phase flow in two dimensions with gravity force parallel to the plane of motion is described. The experiments were run in a porous medium analog, the Hele-Shaw model. A modification of the Saffman-Taylor solution is compared with the experimental results. The arbitrary parameter in the solution, measured in the experiments, does not approach an asymptote but is a function of the ratio of plate spacing to channel height. In the course of the air-water experiments three forms of the interface were observed before turbulence, which indicate regime changes in the flow. Finally, the effects of heterogeneities (change in plate spacing) on the interface were observed.
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    AIChE Journal 13 (1967), S. 279-290 
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A method of determining all the possible steady states of a tubular recycle reactor with plug flow is presented. The information needed to determine the steady states can be used to ascertain the asymptotic and global stability of the reactor without performing transient computations. The effects of changes in the recycle ratio and start-up conditions are examined. Several numerical examples are included to demonstrate the use of the method for various types of recycle reactors.
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    AIChE Journal 13 (1967), S. 291-302 
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The general problem of characterizing a nonlinear, physical process from its input-output records is examined. A method of identifying the class of nonlinear, time-invariant processes with switched two-level inputs and finite memories is successfully applied to several nonlinear systems. The identification model consists of a finite, orthogonal series expansion for the output as a function of the past of the input. Of particular interest is the characterization and synthesis of a nonlinear, continuous stirred-tank reactor. This system, as well as others that are investigated, is simulated on a digital computer and identified after an initial observation period. No specific knowledge of the unknown process is presumed; however, only moderately fast input switching is permitted. After synthesizing the identification model, the process and model outputs are compared.
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    AIChE Journal 13 (1967), S. 311-315 
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    Notes: A previous paper introduced the pair-type-probability (PTP) function for use in molecular corresponding states theory. The present paper develops the predictive equations of Scatchard and Hildebrand and the correlation equations of Wohl from particular pair and triplet weighting functions for clusters of two and three molecules in a liquid mixture. The cluster-weighting idea therefore unifies the major prediction and correlation schemes now in engineering use.
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    AIChE Journal 13 (1967), S. 303-311 
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    Notes: There are four points of flexibility in present molecular formulations of the corresponding states idea. At these points the procedure followed or the numerical values can be tailored to achieve better agreement between predicted and experimental properties without violation of physical principles. These flexibilities are the exponent values used in the pair-potential function, the averaging procedure used to obtain an effective mixture pair-potential function, the combination rule for unlike-pair parameters, and the selection of a reference substance. The first two flexibilities are used in this paper to show that the conformal-parameter equations can correlate excess free energy and activity coefficient data of highly nonideal liquid mixtures. A pair-type-probability function is introduced in the averaging procedure used to obtain a mixture pair-potential function. Any macroscopic or molecular property may be used in this weighting function to improve mixture-property prediction.
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    AIChE Journal 13 (1967), S. 316-318 
    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 observation that large bubbles entrained in accelerating viscoelastic fluids may suddenly stop and remain stationary for long periods of time, although imbedded in a region of high fluid velocities, is noted and described. An analysis of this phenomenon, termed the Uebler effect, shows that it may be expected to occur with all particulate matter provided that the continuum field fluid is accelerating sufficiently rapidly to generate high stresses as a result of fluid stretching, and provided these stresses change sufficiently rapidly in the direction of the velocity vector in the flow field.
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    AIChE Journal 13 (1967), S. 319-326 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: For a number of polymerization models, we have developed equations that enable one to follow in time the moments of the polymer size distribution and the conversion. The exact and approximate solutions for the leading moments of the size distribution are presented for polymerization with initiation, propagation, and termination by combination. Approximate solutions for polymerizations with the additions of termination by disproportionation, chain transfer to monomer, and chain transfer to solvent show how these reactions decrease the average polymer size. From a simple model that exhibits autoacceleration a concomitant increase in the average polymer size also occurs.
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    AIChE Journal 13 (1967), S. 326-334 
    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 characteristics of upward gas-liquid flow in a vertical annular duct were investigated. The flow regime studied was the climbing film regime in which water flowed as a film up the inner core of the annulus while air flowed in the annular space, the outer wall of the annulus remaining dry. Friction losses, air velocity distributions, and film characteristics were studied, the latter by photographing the climbing film through the transparent outer tube. Friction loss and film thickness were correlated with Lockhart-Martinelli parameters, X, Φ, and RL. The presence of the climbing film caused the point of maximum velocity of the air profile to move toward the outer tube, indicating that the film created a rough wall condition. The inner portion of the velocity profile was correlated by Nikuradse's rough tube equation, while the outer portion was correlated by a logarithmic equation which previous workers have reported for single-phase flow. Kapitza's theory of wave formation was applied to the climbing film and was found to predict reasonable values for the mean film thickness. However, it failed to predict reliable values for the wavelength of surface waves.
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    AIChE Journal 13 (1967), S. 334-340 
    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 presented by which a particular class of interacting linear multivariable systems may be decoupled into independent, first-order subsystems containing a single output as a function of a single manipulatable input and a single measurable input. This is accomplished by application of compensators in the form of feedforward amplifiers and proportional plus derivative feedback controllers. Simultaneous application of a stabilizing feedback controller and a feedforward amplifier to each decoupled subsystem results in perfect control of system outputs yi (t), that is, yi (t) = 0 for all t ≧ 0. In addition, the compensating device contains degrees of freedom that make it possible to set output forms within any limits desired in the case that subsystem feedforward controllers operate imperfectly, and obtain better fit between the linear system model, which forms the basis for controller design, and the corresponding nonlinear system model.
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    AIChE Journal 13 (1967), S. 340-345 
    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 general method, given in a companion paper, by which an interacting linear multivariable system may be decoupled into independent subsystems, is applied to a continuous flow stirred-tank reactor. The form of the compensating controllers required for the physical system is obtained. It is then verified numerically that noninteraction is achieved, as postulated, by simulation of the linear model with compensating control on the analog computer.
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    AIChE Journal 13 (1967), S. 346-351 
    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 a recent experimental study of reaction rates measured in a rectangular duct with a reaction of arbitrary order occurring on one wall, the results were analyzed in terms of an infinite parallel plate duct. The subject of this paper is the determination of the requirements necessary to treat a rectangular duct as a flat duct in the fully developed laminar flow regime. To this end, the rectangular duct problem is solved numerically. The results obtained show that mixing-cup concentrations, average wall concentrations, and Nusselt numbers for any aspect ratio γ (between a square duct and parallel plates) may be estimated from the parallel plate results when a reduced distance is used. These parameters vary only slightly with aspect ratio. If the actual distance instead of this reduced coordinate is used, an aspect ratio of one to ten would be required to obtain results which are accurate to 6%. These conclusions are not valid for a catalytic reactor with four catalytic walls.
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    AIChE Journal 13 (1967), 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: Pitzer's acentric factor approach has been extended to the vapor pressure and entropy of vaporization of polar fluids. Normal fluid vapor pressure functions have been determined for 0.44 ≤ TR 〈 0.56. A polarity factor has been defined and polar correction terms established for the vapor pressure for 0.44 ≤ TR 〈 0.70 and for the entropy of vaporization for 0.56 〈 TR 〈 0.72. The polar correction terms enable the accurate calculation of the vapor pressure and entropy of vaporization of a polar fluid from its normal boiling point and normal latent heat of vaporization. The results of this study also form the basis for the extension of this approach to other thermodynamic properties of polar fluids.
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    AIChE Journal 13 (1967), S. 365-373 
    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 penetration theory equations representing diffusion with a generalized, reversible chemical reaction of the form γAA + γBB ⇌ γMM + γNN are solved by a finite-difference method. Many solutions are presented in graphical form. Approximate solutions to several limiting cases are obtained analytically by means of a steady state representation and are useful for estimating results of the solution to the penetration theory equations.
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    AIChE Journal 13 (1967), S. 356-365 
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    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Friction lossess, velocity distributions, and drop size distributions were obtained for unstable liquid-liquid dispersions in turbulent flow. The friction losses and velocity profiles were used to determine effective viscosities which were correlated by the Einstein relation for dispersions in which μd/μc ≤ 15. When μd/μc ≈ 200 the dispersion could not be considered as a single-phase fluid and exhibited non-Newtonian characteristics. Drop size distributions were obtained from photographs of the flowing dispersion. These drop size distributions provided information concerning drop breakup and coalescence in the circulation system. From drop size distribution and effective viscosity measurements a criterion was obtained to determine if a dispersion could be treated as a homogeneous single-phase fluid.
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    AIChE Journal 13 (1967), S. 2-2 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 13 (1967), S. 392-392 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 13 (1967), S. 401-402 
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    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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    AIChE Journal 13 (1967), S. 403-404 
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    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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    AIChE Journal 13 (1967), S. 419-419 
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    AIChE Journal 13 (1967), S. 420-427 
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    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The dispersion equation for a single, nonreacting, nonadsorbing species is derived for incompressible, laminar flow in anisotropic porous media. Direct integration of the appropriate differential equations gives rise to a dispersion vector ψi and a tortuosity vector τi, both of which must be evaluated experimentally. For the dispersion vector, this is conveniently done by representing ψi in terms of the velocity and gradients of the velocity and concentration. The experimental determination of τi is not straightforward except for the case of pure diffusion. The analysis yields a result which contains all the features of previously presented dispersion equations without making any assumptions as to the nature of the flow, that is, bypassing, cell mixing, etc., except that it be laminar. Attacking the dispersion problem in terms of the differential diffusion equation provides a rational basis for the correlation of experimental data and illustrates the connection between the microscopic and macroscopic equations.
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    AIChE Journal 13 (1967), S. 428-438 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Controlled studies have been made of unidirectional freeze-drying of turkey meat. The results provide a test of the model of a uniformly retreating ice front. Comparisons are made with independent measurements of thermal conductivity and with the predicted effect of pressure level upon diffusivity. Variables explored include the pressure and humidity of the drying chamber, the meat surface temperature, and the grain orientation. Drying rates were measured in the presence of water vapor alone and also in the presence of 0 to 760 mm. Hg of nitrogen or helium. Nitrogen and helium runs were made both with a stagnant gas phase and with a circulating gas stream. The rates show quantitative agreement with the uniformly retreating ice front model during the removal of most of the moisture.
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    AIChE Journal 13 (1967), S. 438-442 
    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 a high-pressure process, feed streams are continually pressurized and product streams are continually depressurized. A flow work exchanger offers an efficient and economical scheme for simultaneously pressurizing a fluid stream and depressurizing a substantially equivalent volume of another fluid stream. Its applicability is however limited to fluids under condensed state. A flow work exchanger uses a displacement vessel to form a closed loop with a processing system. The displacement vessel is alternately filled by a low-pressure feed and a high-pressure product, both pressurized and depressurized, respectively, by substantially nonflow processes. The pressurized feed is pushed into the processing system by the high-pressure product stream and the depressurized product stream is pushed out of the displacement vessel by the low-pressure feed stream. The application of a flow work exchanger is illustrated by means of several high-pressure processes and the direct and indirect advantages obtainable are described.
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    AIChE Journal 13 (1967), S. 165-169 
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    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A numerical method and graphs of generalized solutions are presented for a moving interface problem of freezing a saturated liquid inside a cylindrical or a spherical container with a constant heat transfer coefficient, as well as melting a saturated solid. The frozen solid phase has a constant heat capacity.
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    AIChE Journal 13 (1967), S. 768-778 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Discrete control algorithms, suitable for programming in a direct digital control computer, are presented. For processes whose dynamics can be adequately modeled as first order with delay, digital compensation algorithms are derived to yield theoretically a response with finite settling time, when the system is step forced in either set point or load. The utility of the proposed designs is experimentally verified by application to a higher order physical process whose dynamics are not fully described by the model. The results demonstrate that sampling frequencies may be reduced considerably below presently accepted values while still maintaining transient response characteristics of the system comparable with those obtainable from conventional continuous control.
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    AIChE Journal 13 (1967), S. 779-783 
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    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Bubble frequencies and departure volumes in nucleate pool boiling have been obtained for a variety of liquids at pressures ranging from 50 to 760 mm. Hg. The bubble dynamic data conclusively show the volumetric vapor flow rate to be a strong function of the Jakob number in qualitative agreement with the heat transfer measurements of Nickelson and Preckshot. The data also indicate the volumetric vapor flow rate per cross section to be independent of the Jakob number, in agreement with existing equations.
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    AIChE Journal 13 (1967), S. 793-796 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Results of a theoretical and experimental study of the thermal dynamics of a distributed parameter nonadiabatic humidification process are presented. A wetted-wall column was selected for study to ensure standard and reproducible velocity profiles and a definable area for heat and mass transfer. Four mathematical models which consider various heat and mass transfer. Four mathematical models which consider various heat and mass transfer effects were derived in the time domain and solved in the frequency domain. All models, including a simple model previously tested for the adiabatic humidification case, were in good agreement with experimental results obtained by pulse testing.
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    AIChE Journal 13 (1967), S. 801-807 
    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 exact analytical theory of the local behavior of finite slugs which are dispersed in three-dimensional velocity fields is developed. It is shown that the dispersion coefficient enters the problem as an eigenvalue. For the important special case of fully developed straight pipe flow, considered first by Taylor and later generalized by Aris, the dispersion coefficient can be found very easily by the present method, which also provides the basis for studying a large class of more complicated problems.A detailed numerical analysis is carried out to determine the limits of applicability of the analytical theory. Fortunately, it is found that dispersion of slug stimuli in fully developed laminar tube flow is described by Equation (15) when τ exceeds certain minimum values which depend only weakly on Peclet number and are independent of slug length in the region considered here. Since peak mean concentrations are predicated accurately by Equation (19) for X 〉 0.1, this is a convenient quantity to use to determine dispersion coefficients experimentally.On comparing the numerical and analytical results for local point concentrations, good agreement is found, provided the average concentration is predicted accurately by Equation (15). This is significant because it implies that a broad class of difficult transient heat and mass transfer problems, with aperiodic inlet disturbances, can be solved by using superposition in conjunction with the present approach.
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    AIChE Journal 13 (1967), S. 834-834 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 13 (1967), S. 836-838 
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    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: It is proposed that the product of the molar volume and the internal pressure is a measure of the dispersion interaction energy in liquids regardless of the presence of other intermolecular forces. If this is true, then the energy of interaction due to hydrogen bonding may be estimated for hydrogen bonding liquids by the difference between the energy of vaporization and the product of the molar volume and the internal pressure. It is also shown that Small's group contribution technique provides a good estimate of internal pressure of hydrogen bonding liquids.
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    AIChE Journal 13 (1967), S. 850-853 
    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 Bridgman equation for thermal conductivity of liquids is examined and a relation between sonic velocity and latent heat of vaporization is given. A correlation based on the hole theory of liquids is presented. This correlation predicts thermal conductivity in the temperature range of -20° to +80°C. for sixteen liquids, and at 20°C. for fifty liquids with an average absolute deviation of 9.5 and 5%, respectively. The correlation is also applied to liquid metals.
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    AIChE Journal 13 (1967), S. 846-850 
    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 viscosities and densities of methane-propane mixtures were determined at pressures to 5,000 lb./sq.in.abs. for 22.1 and 50.0 mole % methane over a temperature range from -120 to 37.78°C. and for 75.3 mole % methane over a temperature range from -150° to 37.78°C. Reproducibility of the viscosity data was ± 2%, and the agreement with literature values was, on the average, within ± 2%. The reproducibility of the density data was ± 0.8%, and the agreement with literature values was ± 1.2%.
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    AIChE Journal 13 (1967), S. 1018-1019 
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    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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    AIChE Journal 13 (1967), S. 1029-1030 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 13 (1967), S. 1052-1057 
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    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Mutual diffusion coefficients in dilute liquid metal solutions have been correlated by methods based upon absolute rate theory and the theory of corresponding states. Both correlations reproduce the experimental data to approximately ±25%, but the absolute rate theory method is simpler to use and is applicable to a larger number of systems.
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    AIChE Journal 13 (1967), S. 1124-1126 
    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 frequency domain analysis of reversible molecular diffusion in a granule or relatively stagnant drop of fluid reveals that for the larger values of time the rate equation reduces to \documentclass{article}\pagestyle{empty}\begin{document}$$ \frac{{dW}}{{dt}} = \frac{{15D}}{{R^2}}\left({W^* - W} \right) $$\end{document}Compared with an earlier time domain result \documentclass{article}\pagestyle{empty}\begin{document}$$ \frac{{dW}}{{dt}} = \frac{{\pi ^2 D}}{{R^2}}\left({W^* - W} \right) $$\end{document} the rate predicted is 15/π2 = 1.516 greater and this has been confirmed by results of experiment. An analysis of time constants shows that the dimensionless group relation \documentclass{article}\pagestyle{empty}\begin{document}$$ \frac{{Dt}}{{R^2}} \ge 0.101 $$\end{document} defines mathematically that which is meant by the larger value of time limitation.
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