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  • 1965-1969  (310)
  • 1966  (310)
  • Chemical Engineering  (310)
  • Nuclear reactions
  • 101
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 333-339 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A theory of the amount of liquid entrained by cylinders upon withdrawal from liquid baths is derived for a wide range of cylinder radii. The theory is based on matching curvatures for static and dynamic menisci. Predicted values are expressed as the effect of the dimensionless wire radius (Goucher number) and dimensionless withdrawal speed (capillary number) on the dimensionless flux.The theory was verified experimentally for all wire radii by removing short cylinders from oily fluids and with other information. The fluids used included kerosene, mineral oil, motor oil, and glycerine, with viscosities from 2 to 500 centipoise; Goucher numbers ranged from 0.05 to 1.2. Deviations, which were noted at high capillary numbers where velocity gradients become appreciable, indicated that the theory is a plug flow or low speed theory. Also discussed are differences found with water and the conditions under which films coalesced into droplets.
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  • 102
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 321-327 
    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 measuring flow porosity with values from 35 to 100% of the open porosity measured is described. The accuracy of electrical conductivity measurement to obtain net diffusibilities was verified for media containing at least 75% of pore volume with radii greater than five mean free paths. It is pointed out that long dead-end pores feeding into larger diameter flow pores can contribute to the effective diffusion coefficient inside porous media, and methods of estimating their length and maximum possible contribution to diffusion are described.
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  • 103
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 344-348 
    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 attempt is made to explain the differently shaped bubbles observed growing on a surface during nucleate boiling of water. Some of the bubbles photographed were very close to the spherical shape, while others were close to the hemispherical. Also, a number of bubbles had intermediate shapes and were called oblate bubbles.Measurements of bubble dimensions and growth rates obtained from high-speed films were analyzed. By using a modified Rayleigh equation, the relative importance of the inertial and surface tension forces was computed. it appeared that the differences in shapes among bubbles can be explained on the basis of the relative importance of these forces.It was found that for spherical bubbles inertial forces are small because of the slow growth rate and surface tension is clearly the dominant force. For hemispherical bubbles, however, the fast growth rate causes a very large inertial force which is greater than surface tension. For the oblate bubbles neither of the forces was found to be dominate and inertia as well as surface tension determines the shape.
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  • 104
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 353-357 
    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 report presents more extensive experimental vapor-liquid equilibria data for the helium methane system than are found in the literature. A static sampling technique was used to obtain vapor and liquid compositions for six temperatures between -180° and -85°C. and pressures up to 2,000 lb./sq.in.abs. Data at 2,000 lb./sq.in.abs. were extended to the critical temperature of the mixture.Average scatter of the data from the smoothed lines is approximately 1% of the helium concentration or 0.03 mole % helium, whichever is larger. Vapor compositions at -140°, -160°, and -180°C. were analyzed by a different technique and scattered on the average from the smoothed curve less than 4% of the methane concentration. Comparisons are drawn between the data of this study and the previously published work of Kharakhorin. The solubility of helium in liquid methane was found to be considerably less than the values indicated by Kharakhorin.Experimental data are presented in tabular form and in various phase composition diagrams. The behavior of the helium-methane system is seen to be very similar to that of the helium-nitrogen system, with helium being much less soluble in methane than in nitrogen.The data were satisfactorily represented by means of the Krichevsky-Kazarnovsky equation. Extrapolations to higher pressures should be feasible.
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  • 105
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 17-20 
    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 a preliminary study of the linear flow of a non-Newtonian fluid, a water solution of Dextra (a polysaccharide), in porous media. A modification of Darcy's law, which uses capillary rheology data, is developed to describe non-Newtonian flow in underground reservoirs. The generalization, in effect, replaces the porous media with a capillary of equivalent radius proportional to the square root of the ratio of permeability to porosity. The constant of proportionality αo should be independent of permeability and porosity for a given type of rock. This has been partially confirmed experimentally. In principle, a capillary rheogram and a single core test permit evaluation of αo. Then non-Newtonian flow can be predicted in this type of rock regardless of porosity, permeability, or flow rate.
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  • 106
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 24-30 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Solids dispersion due to the simultaneous diffusion (random particle motion) and classification (segregation) of fluidized spheres has been investigated. The model developed permits calculation of the mean concentration of spheres of both sizes in a mixture of two sizes of fluidized spheres as a function of bed length. Fick's law has been applied to the diffusional phenomenon. A hypothesis has been advanced and confirmed which permits calculation [Equation (5)] of the classification velocity for each size of sphere in a fluidized mixture. Calculation of the classification velocities in a mixture of spheres is based on the relation of void fraction to superficial velocity for the individual sizes of spheres. To facilitate carrying out these calculations, a generalized equation has been developed for the relation of void fraction to superficial velocity in terms of the Galileo number (d3gΔρρƒ/μ2) and sphere-to-column diameter ratio. Measurement of the bead size gradients (change in bead size with bed length) at steady state fluidization was used to investigate dispersion. Closely sized glass beads of 0.1 and 0.2 cm. diameters were fluidized with liquids of 1 and 15 cps. at void fractions of 0.5 to 0.8 in 2.5 and 5.0 cm. columns. Lead beads of 0.12 cm. diameter were also used. Further, several experiments were conducted by a method which is analogous to that used in molecular diffusion cells.
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  • 107
    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 flow system was used to measure the physical adsorption isotherms of two mixtures of nitrogen and hydrogen and two mixtures of methane and hydrogen on a synthetic zeolite. The measurements were made at liquid nitrogen temperature and at pressures of 4 to 85 atm. Static systems were used to measure the pure component isotherms of nitrogen, methane, and hydrogen at the same temperature and over the appropriate pressure ranges.Although many different methods have been proposed for using pure component adsorption isotherms to predict the mixture isotherm, the only method giving quantitative agreement with the data of this study is the empirical “adsorption enhancement factor” (4).In addition to the adsorption isotherms, the concentration-time or breakthrough curves of the mixtures were measured at flow rates ranging from 40 to 300 lb./(hr.)(sq.ft.). The method proposed by Eagleton and Bliss (18) was used to correlate these curves.
    Additional Material: 9 Ill.
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  • 108
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 75-82 
    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 continuously estimating the gain of a flow process by sinusoidal perturbation is presented. The resulting output perturbation is correlated with a second sinusoid to generate periodically an estimate of the process gain. A method of implementing such an identifier on a small analog computer is described.The experimental testing of this identifier computer with both a real process (a pH regulating system) and with an analog computer simulation of the process is described. The results of identification tests with a nonstationary system are presented. From these results it is concluded that the identifier estimates the process gain satisfactorily, introducing a delay (equal to one-half the period of identification) and making an effective sampling or clamping of the gain estimate (over each period of identification).
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  • 109
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 100-103 
    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 probabilistic model is used to develop the mathematical theory of a continuous chromatographic column. Equations are developed relating column height, feed location, degree of separation, and flow rates. Necessary sorption data can be obtained from a fixed-bed chromatographic column.
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  • 110
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 104-109 
    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 effects of viscosity and density variations due to an imposed radial temperature gradient on the stability of Couette flow between rotating cylinders are investigated. The annular spacing between the cylinders is assumed to be small compared with the mean radius. The fluids considered are water and 50% aqueous glycerol. Free convection due to gravity is not considered.Approximate solutions to the stability equations are obtained by the Galerkin method. Computations are restricted to the case where the outer cylinder is at rest. For the cases studied, the effects of radial convection were found to be small but the effects of the temperature dependence of viscosity were appreciable. The critical Taylor number based on the mean temperature viscosity was found to decrease as the viscosity variation became more pronounced and as the Prandtl number increased.
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  • 111
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 130-136 
    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 graphical method of analysis is presented for studying the practical stability and ultimate boundeness of autonomous second-order systems. It is argued that these measures of stability are in many cases more germane to design than Liapunov stability. The method incorporates much of the geometric character of a Liapunov analysis, but it is shown that a Liapunov function, relatively difficult to obtain, can be replaced by a set of easily postulated scalar functions which collectively yield the required stability information. Examples are given which demonstrate the use and effectiveness of the method.
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  • 112
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 266-271 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Approximate solutions for the thermal entrance region and a new exact solution for the fully developed region have been obtained for nonlinear fully developed conduit flows with unsymmetrical transverse flow. Entrance region solutions are obtained by a generalized version of Mercer's method. The effects on combined free and forced convection of asymmetric mass transfer, in the asymptotic region of fully developed thermal and hydrodynamic conditions, are studied and a new exact solution is given which applies to such problems.
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  • 113
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 290-292 
    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 study of the height of liquid films flowing concurrently with an air stream in a horizontal channel are presented. If three-dimensional waves exist at the interface, the dimensionless film height h+ = hu*/v, defined in terms of the friction velocity and the kinematic viscosity of the liquid, is primarily a function of the liquid Reynolds number.
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  • 114
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 296-303 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Transfer characteristics are presented for a perforated plate-spray column in which a volatile dispersed phase evaporates while rising in the continuous, counterflowing, immiscible phase. Optimal column heights, volumetric transfer coefficients, holdup, and foam heights are reported as functions of flow rate and temperature approach for a pentane-water system, A comparison with related studies is presented.
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  • 115
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 199-202 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 2 Ill.
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  • 116
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), 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
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  • 117
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 211-211 
    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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  • 118
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 232-237 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Analysis of the equations describing the instantaneous vapor and liquid flow through the holes of perforated distillation plates at low loads shows that periodic and stable pressure oscillations will always be set up between plates. These oscillations are expected to have amplitudes of the order of 0.1 in. of water and frequencies of a few cycles per second, values which are in accord with observation and which may be used as the basis for a model from which the seal point of the plates may be predicted.
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  • 119
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 244-248 
    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 observation of the properties of bulk matter necessarily omits many details of the motion of the particles which comprise that matter. If a communication regarding the observation is to be consistent, it must conform to certain rules which follow from the theory of information. An analysis of the problem of deciding upon a consistent encoding for such observations leads, as a unique result, to the concepts and equations of classical thermodynamics. The information-theory analysis of this problem also leads to a better understanding of the basis for the “laws” of thermodynamics.
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  • 120
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 249-253 
    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 influence of small surface waves on mass transfer from pure gases into water has been investigated. Small amplitude progressive two-dimensional waves were mechanically generated at the liquid surface for the wave studies. Control experiments with nonwaved surfaces were also conducted. An effective diffusivity was used to correlate the data. Marked increases in mass transfer over that predicted by molecular diffusion for the no-wave control runs are attributed to natural convection motions, and are probably caused by density and surface tension variations.
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  • 121
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 271-278 
    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 study has been made of simultaneous axial dispersion and solid-fluid mass exchange in a packed-bed adsorber. Four different and mutually exclusive controlling mechanisms for the solid-fluid mass exchange rate are considered. A dimensionless parameter K characterizes this interphase mass transfer. The Peclet number characterizes axial dispersion.An impulse-response technique was used to obtain simultaneously values of the axial Peclet number and the rate parameter K in the adsorption column. Values of the Peclet number obtained under conditions of interphase mass transfer were found to be significantly smaller than the values measured under pure mixing (no surface activity) conditions.The mathematical model used to analyze the results includes the particular case of no surface activity with results previously found from the dispersion model. One result not previously derived from the dispersion model was found and tested experimentally.
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  • 122
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 279-289 
    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 orthogonal expansion technique for solving a new class of counterflow heat transfer problems is developed and applied to the detailed study of laminar flow concentric tube heat exchangers. The exchanger problem is solved for fully developed laminar velocity profiles, negligible longitudinal conduction in the fluid streams and in the exchanger walls, and with fluid properties which are independent of the temperature.A description of the variation of the local Nusselt numbers and the temperature at the wall between the two streams is given. Also reported are bulk temperature changes in the two streams and mean overall Nusselt numbers. It is shown that for long exchangers, which are of some industrial importance, asymptotic Nusselt numbers exist in counterflow as in single-phase and cocurrent systems. Numerical values of asymptotic Nusselt numbers are reported for a wide range of parameters. Comparisons are made with single-stream solutions such as the Graetz problem, with empirical correlations of experimental data, and with cocurrent flow exchangers.To solve this problem it was necessary to derive new orthogonality relations, and also expressions for determining positive and negative sets of eigenvalues and eigenvectors. Satisfaction of inlet boundary conditions at both ends of counterflow exchangers requires a complete set of eigenfunctions and thus one must use both the positive and negative sets.
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  • 123
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 313-321 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Nickel catalysts reduced with sodium borohydride have been found to be active for the liquid phase dehydrogenation of isopropanol. The activity, per unit weight of catalyst, is at least as high as that of Raney nickel. Promotion of the new catalyts with small amounts of chromium has been explained by an increase in surface area. Indeed, the activity per unit surface area of the unpromoted and promoted nickel catalysts is constant over a sevenfold range of surface area.
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  • 124
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 349-352 
    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 viewpoint is taken that bulk flow terms in the general equation of molecular diffusion must be measured in apparatus which offers no constraint to the molecular flux in either direction. It is proposed to carry this out in a miniaturized experiment operating with one side of the diffusion gradient as an infinite sink. Dimethyl acetamide-water diffusivities computed from such an experiment were found to be 7.02 × 10-6 sq.cm./sec. over a wide range of compositions. These are compared with values showing considerably wider variation with composition, namely, 2.45 to 7.00 × 10-6 sq.cm./sec. by estimating methods and 11.45 to 14.05 × 10-6 sq.cm./sec. by large cell experiments. Arguments are presented in support of the values obtained by the proposed method operating on a nonideal binary N, N-dimethyl acetamide and water.
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  • 125
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    AIChE Journal 12 (1966), S. 357-363 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Quantitative predictions are presented to show how the axial discharge rate and pressure gradient and angular velocity and torque become coupled when a fluid exhibiting a shear-dependent viscosity behavior is subjected to a helical flow field. The numerical scheme developed here is completely general and applicable to a wide choice of constitutive equations. For purposes of illustration only, results are described for an Oldroyd type of constitutive equation. The coupling effect is illustrated for different relative speeds of the cylinders, axial flow rates, axial pressure gradients, and ratios of cylinder diameters. The most interesting consequence of the coupling effect is that the axial flow resistance is lowered in a helical flow with the result, for example, that for a given applied axial pressure gradient, the axial discharge rate in a helical flow field is higher than in a purely annular flow field.
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  • 126
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    AIChE Journal 12 (1966), S. 403-404 
    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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  • 127
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    AIChE Journal 12 (1966), S. 629-637 
    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 use of the Wohl equation for activity coefficients is tested successfully for the most nonideal ternary systems for which experimental data could be found. The three-suffix form possessing seven constants is found to be successful in many cases. Owing to the high degree of nonideality resulting from one or more components being polar, however, the four-suffix form employing up to ten constants was required for ten of the twenty-five ternaries studied. Regardless of the form chosen, all the constants but one, C*, are derived from phase equilibrium data on the constituent binaries.The ternary constant C* was found to be approximately zero. In only two instances did its value not fall in the region of -1.0 to +1.0. With the use of the binary constants and C*, predictions of vapor compositions were made for each experimental ternary liquid composition, temperature, and pressure. The results so obtained yielded average absolute errors in predicted vapor mole fractions, without respect to sign, as follows: for ten systems, less than 0.01; for seventeen systems, less than 0.02; and for twenty-four systems, less than 0.03. For an additional three sets the error was still less than 0.05. Results were analyzed statistically for twenty-two of the systems determining mean values of the vapor mole fraction deviations and the confidence limits of the means.The mass testing of the Wohl equation reported here far exceeds the sum of all work previously published in the literature. It appears that this equation provides a very good way of expressing liquid nonideality for a wide range of components.
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  • 128
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    AIChE Journal 12 (1966), S. 655-661 
    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 detailed mechanistic model is developed to describe the process by which adsorbed molecules migrate over the surface of an adsorbent. The migration is assumed to occur as a result of a random hopping of partially desorbed species; explicit expressions are derived for the hopping rate and the distance traversed in a single jump for the case of a gas adsorbed on a homogeneous surface. In the degree of detail developed herein experimental determinations are still required (to evaluate an otherwise unknown ratio of partition functions, and the activation free energy) but the pressure or surface concentration dependency of the transport rate is given explicity.The predictions are tested by comparison with three sets of experimental data for hydrocarbons adsorbed on porous glass; these systems were chosen as they may be shown to meet the assumption of an adsorbate migrating over an energetically homogeneous surface under the conditions studied. Reasonable values are found for the parameters and excellent agreement between the observed and predicting trends with pressure is noted in all cases.
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  • 129
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    AIChE Journal 12 (1966), S. 662-668 
    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 of exothermic chemical reactors with cooling jackets or internal cooling coils has been extensively studied by steady state, phase plane, and linear analysis techniques. The purpose of this paper is to apply these techniques to the frequently encountered case of autorefrigerated or boiling liquid reactors. In these reactors the exothermic heat of reaction is removed, not by conductive and convective heat transfer, but by vaporization of a liquid phase or, more generally, by any kind of endothermic change in phase.Open-loop and closed-loop stability of a continuous stirre-tank autorefrigerated reactor is studied. General equations are derived and illustrated by numerical examples.Both constant and variable latent heats of vaporization are considered. A particularly interesting aspect of autorefrigerated reactor stability is operation near the critical temperature. Since the latent heat approaches zero, instability of the system is increased, representing a form of positive feedback in a chemical system.
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  • 130
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    AIChE Journal 12 (1966), S. 685-692 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Sintered spheres of reagent grade hematite and particles of vermilion ore were reduced by carbon monoxide-carbon dioxide mixtures over the temperature range 820° to 920°C. If all the weight loss were assumed to occur at a single hematite-iron interface, then the early stages of reduction could be correlated by a series combination of the individual resistances due to boundary-layer transport, transport through the reduced iron shell, and interfacial chemical reaction. Sintering and cracking affected the reduction at later stages. Particle reducibility, measured as rate of weight loss, was independent of particle porosity.Packed beds of similar sized vermilion ore particles were reduced with carbon monoxide-carbon dioxide mixtures at temperatures between 820° and 920°C. Barner's and Spitzer's methods of estimating fixed-bed reduction rates and exit gas compositions were modified to include the multiple-step, single-particle kinetic models. The resulting predictions of fractional reduction agreed closely with the present data; however, theoretical and experimental exit gas compositions differed considerably.
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  • 131
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    AIChE Journal 12 (1966), S. 722-727 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An analysis of diffusional effects in a system consisting of impermeable relaxation sections placed alternately between semipermeable membrane sections indicates significant attenuation of salt concentration at the boundary in the impermeable section. The analysis employed exploits Equation (16), a relation deduced by Lighthill (4), to avoid the necessity of using orthogonal function expansions which converge slowly in the diffusion entrance region which is studied here.
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  • 132
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    AIChE Journal 12 (1966), S. 737-740 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Finite disturbance pipe flow stability criteria are evaluated for constant flux heating of liquids flowing through vertical pipes under small disturbances conditions where velocity profile distortion due to natural convection is significat. For Newtonian flow in long heated pipes the analysis of Hanks correctly predicts the transition to turbulence observed for upflow heating and is qualitatively consistent with the transition to asymmetric flow which occurs in downflow heating, whereas the criterion of Ryan and Johnson predicts stability for experimentally unstable flows. In the practically more important case of short pipe lengths experimental data obtained over the viscosity range from 1 to 21 centiposises show that natural convection induced transition will occur at low Reynolds numbers for both Newtonian and non-Newtonian liquids for conditions consistent with predictions of Hanks' analysis.
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  • 133
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    AIChE Journal 12 (1966), S. 760-766 
    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 rates of evaporation and the wet-bulb temperatures have been correlated for drops of pure liquids evaporating in streams of high-temperature air. The four liquids studied were acetone, benzene, n-hexane, and water. The drops were of a millimeter in diameter and were suspended in a free jet of dry, vapor-free air that ranged in temperature from 27° to 340°C. Reynolds numbers ranged from 24 to 325. Corrections to the Nusselt number to account for the heat lost the outwardly diffusing vapor ranged up to about 35%.
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  • 134
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    AIChE Journal 12 (1966), S. 774-780 
    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 analysis of the incipience of nucleate boiling is developed as a modification and extension of previous analyses. The results are compared with data for subcooled boiling of water in forced convection flow. Apparent anomalies in the data for the onset of boiling in two-phase gas-liquid flow are shown to be a result of a limited size range of cavities on the heater surfaces. Measurements of the surface characteristics of a copper heating tube were made and compared with incipient boiling heat transfer data taken in that tube. The results predicted from the theoretical analysis are consistent with the experimental heat transfer data.
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  • 135
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    AIChE Journal 12 (1966), S. 534-540 
    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 effect of product recycle and temperature on the maximum yield of product for several different autocatalytic reactions taking place in a tubular reactor is studied.A generalized version of the maximum principle is used to determine the maximum conversion and optimal temperature profile for each of the reactions considered. The fraction of product recycled, which affects the concentration of autocatalytic agent entering the reactor, is investigated to determine its effect on the maximum conversion.
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  • 136
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    AIChE Journal 12 (1966), S. 553-559 
    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 new experimental technique has been developed for study of transport from drops. Large single drops are heated dielectrically while suspended motionless in an unheated continuous phase. Direct measurements of temperature distributions within drops are presented both for circulating drops and for drops in which surface-active materials retard circulation. The results of the measurements will be useful in assessing the validity of the various proposed models.
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  • 137
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    AIChE Journal 12 (1966), S. 813-816 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 4 Ill.
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  • 138
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    AIChE Journal 12 (1966), S. 817-819 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 2 Ill.
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  • 139
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    AIChE Journal 12 (1966) 
    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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  • 140
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    AIChE Journal 12 (1966), S. 845-854 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Rates of oxidation of hydrogen were measured by using platinum-alumina catalyst particles and 1.86-cm. pellets. For high-reaction rates, temperature differences between center and surface of the pellets were more than 300°C. Under these conditions large variations in temperature with position on the pellet surface were observed. The pellet reactor was of the recirculation, stirred-tank type with injection nozzles. Local heat transfer coefficients between pellet and gas varied twofold with location on the surface. The data showed that intrapellet heat and mass transfer resistances were both important, while between pellet and gas only the heat transfer resistance was significant.The effective thermal conductivity of the pellet was measured independently. By using this and the experimental temperature measurements, a new method s devised to establish the effective diffusivity under reaction conditions.Effectiveness factors were predicted from ke and De and the rate data for the particles. The results were about 7% greater than the experimental effectivenes lactor.
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  • 141
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    AIChE Journal 12 (1966), S. 669-678 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Although Newtonian jet stability has been the object of numerous experimental and theoretical studies, the total problem of jet disintegration is by no means solved. Theories available in the literature are only applicable to low-speed laminar jets in stagnant air. In practice, the stability of a liquid jet may be influenced by the ambient medium, turbulence in the nozzle, and the extent of development of the velocity profile. None of these factors has received adequate study. This work presents the beginning of a systematic evaluation of the role played by these factors in the destabilization of a liquid jet. Correlations are presented for predicting the stability of both turbulent and high-speed laminar jets in stagnant air.
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  • 142
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    AIChE Journal 12 (1966), S. 876-882 
    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 notion of optimality with regard to transient control is critically examined with a particular view toward the computational difficulties of solving the optimal control problem, and the arbitrary aspects of the usual objective functions. Realizing a need for effective approximations, a criterion for transient control is developed which requires a minimum of computational effort to apply in practice. Optimality is achieved in an instantaneous sense, and it is argued that overall optimality is well approximated for many cases of practical interest. To demonstrate its use, the criterion is applied to the transient control of a stirred-tank reactor. Numerical examples are given and the results are discussed and compared with those obtained by alternative methods.
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  • 143
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    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Experimental data on the axial dispersion of a solute in laminar flow in capillaries are presented for a range of Peclet numbers from 12 to 50,000 and of dimensionless time from 0.01 to 60. They show good agreement with the mathematical solutions over all ranges of variables as long as natural convection is unimportant. For slow flows it was observed that natural convection can both enhance and depress the dispersion significantly and that extremely small density differences (Δ p/p = 10-4) are adequate to cause these phenomena. A qualitative explanation for the apparently anomalous effects of natural convection is proposed.
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  • 144
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    Notes: Average transport coefficients for different transport models are computed by using widely varying distributions of residence times of elements at the transporting surface. It is shown that for typical transport models, the shapes of the residence time and age distributions have an insignificant effect on the average transport coefficient. Operational techniques for calculating average coefficients and for constructing delayed versions of age distributions are presented.
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  • 145
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    AIChE Journal 12 (1966), S. 937-941 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Effective critical constants for helium and normal hydrogen have been determined by fitting experimental volumetric data for these gases to the generalized tables of Pitzer. The effective critical temperature and pressure are found to depend on the temperature and on the molecular mass in a simple manner permitting good estimates to be made of effective critical constants for other quantum gases for which experimental data are scarce (neon, isotopes of helium and hydrogen). Pitzer's tables are used with pseudocritical mixing rules to predict thermodynamic properties of mixtures at high pressures and low temperatures. Calculated compressibility factors and enthalpies are in excellent agreement with experimental results for dense mixtures of hydrogen-methane, hydrogen-argon, and helium-nitrogen.
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  • 146
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    AIChE Journal 12 (1966), S. 947-955 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Methods are developed to estimate the mean residence time and the average transport coefficient of elements at a transporting surface from observations of only total element counts, rather than from specific observations of individual elements. The accuracy of the methods is demonstrated in Monte Carlo simulated processes and experimentally at the wall of a gas-fluidized bed.
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  • 147
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    AIChE Journal 12 (1966), S. 964-972 
    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 nearly homogeneous, isotropic turbulence field in the core of a fully developed pipe flow was chosen as the medium for turbulent dispersion of a smoke tracer injected from a point on the centerline. By using the optical probe technique the fields of the mean and fluctuating point concentration were mapped at several Reynolds numbers, and spectral analyses made of concentration fluctuations on the plume axis. With the use of sheet illumination, the mean and fluctuating components of the integral material concentration in a plume cross section were measured and the fluctuating component was spectrally analyzed. The maximum Reynolds number was 684,000, the maximum ratio of root-mean-square concentration fluctuation to mean concentration exceeded 100% for points and 40% for sheets, and the turbulent Peclet number was found to equal 850. The existence of standard flow conditions was confirmed by measurement of the frictional drag coefficient and the mean concentration field.
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  • 148
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    AIChE Journal 12 (1966), S. 1004-1008 
    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 for getting approximate solutions to the Orr-Sommerfeld equation for free surface flows. The method consists of replacing the velocity, normally a function of distance from the wall, by its value at the free surface while the second derivative of the velocity is kept at its true value. This permits a simple solution to the equation and the eigenvalues can then be determined by a simple and rapid numerical technique. Comparison of this approximate solution for the flow of a thin film on a vertical wall with existing exact numerical solutions and with analytical results valid only for small Reynolds numbers shows the approximation to be quite accurate for most practical values of the parameters and suggests that the method will be useful in investigating the stability of related flows.
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  • 149
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    AIChE Journal 12 (1966), S. 1011-1014 
    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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  • 150
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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 proper forms and asymptotic characteristics of constitutive equations which may be useful for the description of viscoelastic fluids in flow fields of engineering interest are considered. It is seen that the Deborah number emerges as a natural ordering parameter which determines, on the one hand, whether simple approximations explicit in stress may suffice to describe the fluid properties or, on the other hand, whether implicit or integral equations are required. Methods of scale-up are discussed.
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  • 151
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    AIChE Journal 12 (1966), S. 890-893 
    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 an ordinary Newtonian fluid in a channel caused by a pressure gradient alone, or caused by the motion of one of the walls, can be obtained separately; and the problem of generalized Couette flow (the motion due to both causes simultaneously) can be obtained by superposition. For an Ellis fluid, because of the nonlineraity of the viscosity-stress law, the principle of superposition is not applicable. This paper is devoted to the solution of this problem of generalized Couette flow of an Ellis fluid in parallel flat plate and circular annular channels.
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  • 152
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    AIChE Journal 12 (1966), S. 894-902 
    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 technique has been developed for measuring the permeability (or surface resistance) of various monolayers to gases, as well as their effectiveness in hindering any substrate motion which accompanies the absorption process. Results are reported for sulfur dioxide absorbing into water and into aqueous gels in the presence of several surface-active agents. Measured surface resistances extend from a maximum of 200 sec./cm. for a condensed layer of hexadecanol to an indeterminably small value for expanded and gaseous films. After an initial period in which transfer is by diffusion alone, convective motion sets in. The onset and magnitude of the convective motion is displayed by measured absorption rates into water covered with monomolecular films and into viscous gels. The relative magnitude of the convective retardation of the various films parallels their permeabilities, both effects being proportional to the compressibility of the monolayer.
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  • 153
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    AIChE Journal 12 (1966), S. 906-915 
    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 effect of inlet boundary conditions on the transient approach to the asymptotic Taylor-Aris theory was studied for three different cases. It was found that for values of τ of practical interest the solutions for these cases were different only if NPe 〈 100. The asymptotic solution was independent of inlet conditions in the three cases studied once τ exceeded the necessary minima.A rather complete numerical solution to the equation that describes laminar flow in tubes with a single continuous stagnant pocket of arbitrary depth along the entire length of the pore has been obtained, and results for point, average, and bulk concentration distributions are presented for a wide range of parameters. The range of applicability is extended to infinity for both τ and NPe by the asymptotic theory of Aris.Higher capacitance systems require longer times before their dispersion behavior can be described by error-function solutions. This is important, since only then is the concept of an equivalent axial dispersion coefficient useful because then it allows the calculation of the complete average concentration distribution from a minimum of data. This suggests that in work on high capacitance systems such as packed beds, one should ensure that experimental systems are long enough for the asymptotic theory to apply if results are to be interpreted in terms of dispersion coefficients.Numerical results for the Turner model agree very well with the modified effective dispersion coefficient, which was suggested by Aris and is given in Equation (15), as long as τ is sufficiently large. These lower limits for τ are given in Table 3. When the lower limits on τ are exceeded, the new solution developed for the point distribution given by Equations (31) and (32) is also valid. This is important for at least two reasons. First, it implies that the dispersion model can be used to describe the local as well as the average behavior of complex transient systems if only the velocity distribution across the system is known. More work is needed to ascertain the limitations and possibilities of the dispersion model in this regard. Second, it shows that one can find simple and accurate approximate local solutions without neglecting axial molecular diffusion.
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  • 154
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    AIChE Journal 12 (1966), S. 1124-1133 
    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 of describing the behavior of a single-phase, photochemical reaction in a tubular flow reactor is given. A simplified form of the equations is applied to experimental data for the chlorination of propane.The results indicate that the reaction rate is second order in chlorine concentration and first order in light intensity at the wall. Independent experimental actinometer measurements permit the determination of absolute values of the kinetic constants. Such data are rarely available for photochemical reactions. Filter solutions flowing through a jacket around the reactor is shown to be a practical method for studying the effects of light intensity, as well as for cooling the reactor. The optical efficiency of the reactor lamp system was 11%.
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  • 155
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    AIChE Journal 12 (1966), S. 1151-1157 
    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 collocation method and a maximum principle are used to generate pointwise, improvable upper and lower bounds for solutions of the transport equation. This new method of analysis is applicable to the unsteady state transport equation with a specified velocity field as well as to other problems which have a maximum principle. An application to unsteady state transfer to a fluid in ideal stagnation flow illustrates the method.
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  • 156
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    AIChE Journal 12 (1966), S. 1179-1183 
    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 equations and their solutions for the falling cylinder viscometer are presented for the Bingham plastic and power law models.
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  • 157
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    AIChE Journal 12 (1966), S. 999-1004 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Velocity profile data were taken in both phases of a cocurrent stratified flow system of two immiscible liquids in the turbulent regime. The data were correlated by a method which combined Pai's results for Poiseuille and Couette flows between parallel plates, resulting in values of the drag coefficients for the wall and interface for both phases. These and other dependent parameters were correlated with flow conditions over a range of flow rates for both phases. Correlations of all parameters except the interfacial drag coefficient were found to be symmetrical; that is, a given correlation applied equally well to data from either phase. The interfacial drag coefficient, on the other hand, depended primarily upon the flow intensity of the upper phase, in a manner which was further dependent upon which phase was the faster.
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  • 158
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    AIChE Journal 12 (1966), S. 1008-1010 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Vaporization of methanol and carbon tetrachloride into air and carbon tetrachloride into helium was carried out in a counterflow wetted-wall column at 10° to 20°F. These data show an influence of liquid rate upon the mass transfer coefficients. Liquid rate influence has been empirically accounted for by a function of surface area increase caused by rippling of the liquid film.
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  • 159
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    AIChE Journal 12 (1966), S. 1018-1019 
    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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  • 160
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    AIChE Journal 12 (1966), S. 1023-1024 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 1 Tab.
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  • 161
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    AIChE Journal 12 (1966), S. 1223-1225 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 2 Ill.
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  • 162
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    AIChE Journal 12 (1966), 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 theoretical analysis is made of Newtonian creeping flow through dense cubic and simple cubic beds of spheres. Velocity and pressure profiles are obtained in equation form by Galerkin's error-distribution method. The profiles satisfy the conservation equations approximately, and the boundary conditions and symmetry conditions exactly. The calculated friction factors are within 5% of experimental values for both packing arrangements.
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    AIChE Journal 12 (1966), S. 193-195 
    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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  • 164
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    AIChE Journal 12 (1966), S. 197-198 
    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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  • 165
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    AIChE Journal 12 (1966), S. 5-10 
    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 reviewed which allows data points to be chosen in such a fashion that precise estimates of the parameters in nonlinear reaction rate models can be obtained. This method allows each future data point to be selected such that the confidence region of the estimated parameters is smaller with it than with any other possible data point within the region of experimentation. This procedure is applied for Hougen-Watson models with hypothetical experimental data which were generated with the guidance of an example from the current chemical engineering literature. It is found that, for the same number of data points, the parameters in the model can be estimated eighteen times more precisely by using this suggested experimental design than by another commonly used design. Confidence regions are presented for the parameters of the Hougen-Watson models with two types of designs.It is found that the positions of the data points in the well-designed experiments are more sensitive to the functional form of the model than to the current estimates of the magnitudes of the parameter values.
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  • 166
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    AIChE Journal 12 (1966), S. 10-16 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The theory of solute extraction in viscous single-drop systems is extended to show (1) the dependence of the asymptotic Nusselt number on the Peclet number from NPe = 0, the molecular diffusion limit, to NPe = ∞, the Kronig and Brink limit, and (2) the dependence of the diffusion entry region Nusselt number on the Peclet number and the initial concentration profile.A numerical solution of the diffusion equation, limited to dilute solute concentrations and solute transport by viscous convection and molecular diffusion, is presented from which the nature of the Nusselt number is deduced. The observed oscillatory behavior of the Nusselt number in the diffusion entry region, as NPe → ∞, is given a simple physical interpretation in terms of the circulation period of the drop liquid.The model is based upon the Hadamard stream function which theoretically is limited to creeping flow; however some experimental evidence indicates that flow fields similar to the Hadamard stream function exist at continuous phase Reynolds numbers of the order of ten.
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  • 167
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    AIChE Journal 12 (1966), S. 35-45 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Photographic measurements have been made of the mean and fluctuating components of velocity of water in a fully baffled stirred tank. Confirmation of much of the photographic data was obtained with a Kiel impact tube. Eulerian correlation coefficients and also Eulerian scales of turbulence were calculated from the photographic data. The Eulerian scale was of the same order as the blade dimensions, a result consistent with earlier measurements on the turbulence behind grids.Equations have been developed to describe the flow of energy and the conservation of angular momentum in the impeller stream of a stirred tank with a radial flow impeller and vertical baffles. These are simplifications of the Navier-Stokes equations and the energy equation. They relate energy, angular momentum, and pressure to the mean and fluctuating components of velocity in the impeller stream.The equations derived are used with the photographic data on mean and fluctuating velocities to estimate the angular momentum at different radial sections of the tank and to calculate the flow of energy through these sections. The estimates are compared with more accurate values of the total torque and energy determined with a torque table.
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  • 168
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    AIChE Journal 12 (1966), S. 45-49 
    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 two-way capillary viscometer for measuring shear rates from 〈0.01 to 〉1,000,000 sec.-1 at pressure drops up to 1,000 lb./sq.in. has been designed. It consists of a capillary tube mounted vertically between two sample reservoirs, of which the lower one is connected to a mercury manometer. The driving force, gas under pressure in a large tank, is connected to the upper reservoir and the manometer, thus allowing the sample to be moved in either direction through the capillary. The special feature of this viscometer is the indirect automatic measurement of bulk velocity of the fluid sample (3 to 20 cc.) in the capillary tube by means of a mercury manometer.The precision of measurement of the velocity is one part in four hundred and can be maintained over the whole range of shear rates by the appropriate choice of the ratio of the diameter of the capillary and manometer tube.Energy losses due to capillary heating and kinetic energy are given in terms of ΔP across the capillary. Couette end effect was found to be 0.3 diam.A study of the rheology of polyacrylonitrile (PAN) in concentration range of ½ to 10½% PAN shows that the non-Newtonian behavior and elasticity of PAN solution increases rapidly with concentration.
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  • 169
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    AIChE Journal 12 (1966) 
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    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 170
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    AIChE Journal 12 (1966), S. 2-204 
    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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  • 171
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    AIChE Journal 12 (1966), S. 377-384 
    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 paper presents a procedure for calculating liquid mixture enthalpies, whereby a liquid heat of mixing is added to the molal average of the pure liquid enthalpies. The heat of mixing for the mixture is calculated from the heats of mixing of the binary systems at infinite dilution, which in turn are determined with a proposed molecular model for liquid mixing, and a postulate of acceptance. The two cases where the solute in the binary system is more volatile and less volatile than the solvent are treated separately. The case is also considered where a component of the liquid mixture is above its critical temperature; a pure liquid enthalpy is defined and justified for such pseudo liquids, and heats of mixing are then calculated as for actual liquids. Results are compared for four nonpolar binary systems, three with experimental data, and one with data calculated by other means. Data for a number of gases dissolved in water are also considered. The agreement in all cases is excellent.
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  • 172
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    AIChE Journal 12 (1966), S. 401-403 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 3 Ill.
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  • 173
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    AIChE Journal 12 (1966), S. 407-408 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 174
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  • 175
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    AIChE Journal 12 (1966) 
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    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 176
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    AIChE Journal 12 (1966), S. 418-616 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 177
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    AIChE Journal 12 (1966), S. 619-620 
    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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  • 178
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    AIChE Journal 12 (1966), S. 421-431 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Previous studies of the effect of surface active agents on the stability of falling liquid films indicated that surface elasticity was primarily responsible for the observed stabilizing action. Since the elastic nature of a surface is thought to be controlled by interface and interfacial mass transport, it is of interest to understand how these transport rates affect the stability of the liquid film. The analysis for both soluble and insoluble surface active agents is presented in terms of a perturbation solution of the Orr-Sommerfeld equation.
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  • 179
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    AIChE Journal 12 (1966), S. 466-472 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Isothermal pressure elevation can sometimes cause liquid-liquid phase separation of binary liquid mixtures. A quantitative thermodynamic analysis of this effect is made and applied to the system acetone-carbon disulfide at 0°C. with the use of available P-V-T-X data and vapor pressure data at low pressure. Visual observations of the phase separations at pressures up to 80,000 lb./sq.in. were used to compare with the results of the thermodynamic analysis.
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  • 180
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    AIChE Journal 12 (1966), S. 460-465 
    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 change in volume on mixing for a system showing large positive deviations from ideality is examined at one temperature to pressures of 100,000 lb./sq.in. Original atmospheric pressure density data and compression measurements over the entire mole fraction range for this system, acetone-carbon disulfide, are reported at 0°C. These are correlated with the semiempirical Tait equation to yield change in volume on mixing as a function of mole fraction and pressure.This volume change is found to decrease from the maximum of 1 cc./mole at atmospheric pressure to about 0.4 cc./mole at 100,000 lb./sq.in. The maximum also shifts during this pressure increase from 0.53 mole fraction acetone to 0.74.
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  • 181
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    AIChE Journal 12 (1966), S. 488-495 
    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 pressure-volume-temperature equation for mixtures of two or more gases has been developed using the “reference substance” technique of comparing the properties of one substance with those of a standard under the same conditions.The compressibility factor is a function of temperature and pressure, with the variation from one substance to another being determined by the forces of attraction and repulsion between molecules. Thus, if the Lennard-Jones 6-12 potential function is used to describe the molecular interaction, the change in the compressiblity function reflects the different force constants, which in turn are functions of the critical constants.A mixture of gases is assumed to have the same thermodynamic properties as some hypothetical or pseudo gas which would have the same force constants existing between each pair of molecules in the mixture. The force constants of the pseudo gas may be evaluated from pseudo critical constants, which may be evaluated from the critical constants of individual components of the mixture.With the resultant force constants, there can be calculated the ratio of the compressibility factors of the gas mixture to those of a pure gas, nitrogen, taken as a reference substance, all values taken at the same reduced temperature and pressure. The compressibility factor of the mixture may be calculated from this ratio and the compressibility factor of the reference substance; and the PVT relations are immediately determinable.A comprehensive survey of the literature for PVT data of gas mixtures was made. More than 1,000 experimental values of PVT data for thirty-four binary systems and four ternary systems have been studied. The proposed method showed an average deviation from experimental data, representing all published work, of 2.3%.
    Additional Material: 7 Ill.
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  • 182
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    AIChE Journal 12 (1966), S. 522-525 
    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 formula has been determined which satisfactorily represents, for the existing data, the frictional characteristics of the turbulent flow of a dilute viscoelastic non-Newtonian fluid in a pipe. This formula contains two elastic fluid parameters, one of which is strongly dependent on both polymer solute and concentration and the other appears to be a constant and independent of the polymer solutes which were used in this report. A rheometer is proposed based on this formula which should be useful in classifying fluids of this type.
    Additional Material: 3 Ill.
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  • 183
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    AIChE Journal 12 (1966), S. 525-529 
    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 new method for measuring wavelength and wave velocity is described, and experimental values for water flowing down a vertical plane are compared with a numerical solution of the Orr-Sommerfeld equation. Good agreement is obtained in the region near the top of the film where small disturbance theory is expected to be valid. Experimental Reynolds numbers ranged from 8 to 120.
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  • 184
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    AIChE Journal 12 (1966), S. 541-548 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Carbon dioxide was absorbed from mixtures with nitrogen by countercurrent contact with water in an experimental packed tower. Radial and axial gas concentration profiles were determined from measurements made within the packing. Substantial gas phase channeling was observed. Characterizing the gas flow regime by both piston flow and axial diffusion models yielded mass transfer data and computed axial gas concentration profiles. Differences between the mass transfer results for the two models allowed the influence of axial dispersion to be assessed. Comparison of the piston flow and axially dispersed profiles with the experimental profiles enabled conclusions to be drawn regarding the applicability of the axial diffusion model and the accuracy of available dispersion parameter values.The axial diffusion model appears to be a satisfactory representation of the process. The dispersion coefficients used were found to be too high, which emphasizes shortcomings in the transient response experiments yielding dispersion coefficients. The influence of dispersion on the performance was found to be only moderately adverse. The effect increases with increasing liquid rate, decreasing gas rate, and decreasing packing height. It is improbable that the effect is large enough to account for the difference between industrial scale performance and that predicted from available mass transfer correlations.
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  • 185
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    AIChE Journal 12 (1966), S. 571-576 
    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 rate of growth of bubbles forming on a wall from a liquid initially uniformly supersaturated with a dissolved gas was investigated. Attention was directed to the effect of the contact angle.Theoretical predictions for the growth rate of a spherical bubble tangent to a wall were carried out with a digital computer. The predictions included the diffusion equation and the continuity equation. The energy equation was neglected; viscosity and surface tension were assumed nil. The results are compared with existing predictions for a 90-deg. contact angle. For extremely slow growth, the theoretical growth coefficient is about 30% smaller for a bubble with zero contact angle compared to one with a 90-deg. contact angle. For fast growth the difference is much less.Experimental growth rates were determined photographically for bubbles of carbon dioxide coming out of solution from water at an artifical nucleation site. Different contact angles from 15 to 89 deg. were obtained by coating the wall with various nonwetting agents. Every bubble showed changes in its contact angle during growth. No effect of contact angle on the growth rate could be detected.
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  • 186
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    AIChE Journal 12 (1966), S. 577-580 
    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 coefficients of the Benedict-Webb-Rubin equation of state have been developed for argon. By employing these coefficients, the volumetric behavior of argon has been predicted with an average deviation of 0.241% for five hundred ninety-seven smoothed and experimental data points in the superheated region.At temperatures below the critical, two sets of Co's, one for the liquid and one for the vapor, were needed to relate the vapor pressure to the densities of saturated argon. However, consistent fugacities for the saturated vapor and liquid argon could not be predicted with these Co values. Therefore, another set of Co's was developed by equating the pure component vapor and liquid fugacities along the vapor pressure curve. These values were used to test the applicability of the equation of state to predict derived thermodynamic properties.The original BWR expression for calculating isothermal pressure effects on enthalpy was modified to include explicitly the temperature dependence of the coefficient Co. Vapor-liquid equilibrium relations for the argon-nitrogen system predicted by the standard BWR procedure were compared with experimental data.
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  • 187
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    AIChE Journal 12 (1966), S. 589-595 
    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 a single rigid sphere entrained in a glycerine-water solution flowing downward through a cylindrical tube has been investigated throughout a range of particle Reynolds numbers of 6.0 to 120.0, tube Reynolds numbers of 208 to 890, and particle-to-tube diameter ratios of 0.120 to 0.190. Trajectories of the sphere, calculated for various particle Reynolds numbers by using the Rubinow-Keller expression for the transverse force, were found to agree satisfactorily with experimentally determined trajectories when the particle Reynolds number was below 40.0. In all cases the sphere was observed to migrate to the axis of the tube. At the lower particle Reynolds numbers the sphere approached the axis asymptotically, whereas at the higher particle Reynolds numbers the sphere oscillated across the axis of the tube one or more times during migration. All observations were made with spheres which were less dense than the fluid, the density difference being as high as 10% of the fluid density.
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  • 188
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    AIChE Journal 12 (1966), S. 395-400 
    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 order to make the kinetic theory of liquid viscosity tractable, an approximate from is suggested for the perturbation of the radial distribution function of a monatomic liquid by a nonuniform flow field. Substitution of this form into the microscopic expression for the pressure tensor yields an equation for liquid viscosity in terms of the equilibrium distribution function and the interatomic potential energy function. This equation establishes the basis for a corresponding states correlation of the viscosity of liquid metals based on atomic parameters.The viscosity data for twenty-one molten metals are made to fall on a single curve by the adjustment of one microscopic parameter. It is found that this empirically determined parameter has the proper fundamental significance. Therefore it is possible to estimate it independently and to use the general correlation for estimating the viscosity of a metal for which data are not available. Also it is suggested that the atomic parameters determined from viscosity data in this way might be used to correlate other properties of the liquid metals.
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  • 189
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    AIChE Journal 12 (1966), S. 384-394 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Equations are developed for the bulk rate of a gaseous reaction on a porous catalyst whose activity changes with time due to a decrease in active surface. The performance is evaluated in terms of a pellet effectiveness factor which is a function of time and a Thiele (diffusion-reaction) modulus. By a stepwise numerical technique, the equations can be solved without resort to assumptions regarding the distribution of fouled surface within the pellet. The method is applicable at isothermal conditions for any form of the rate equations for the main and fouling reactions and for any diffusivity-concentration relationship.To illustrate the method, results are given for first-order isothermal reactions for three types of fouling processes. For a series form of self-fouling, a catalyst with the lowest intraparticle diffusion resistance gives the maximum activity for any process time. In contrast, for parallel self-fouling a catalyst with an intermediate diffusion resistance is less easily deactivated and can give a higher conversion to desirable product, particularly at long process times.A simpler solution is possible by supposing that the shell model represents the disposition of fouling material in the pellet. It is shown that for parallel self-fouling and independent fouling this model gives reasonably good results, even when the reaction resistance for the main reaction is important. However, the shell concept does not appear suitable over a range of conditions when the fouling is of the series type.The single-pellet effectiveness factors can be used to determine the effect of fouling on the conversion in a fixed-bed reactor. To illustrate the method of approach curves of conversion as a function of time and position in the bed are presented for a parallel, self-fouling reaction system. The results show the influence of intraparticle diffusion on the overall effects of fouling.
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    AIChE Journal 12 (1966), S. 410-412 
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    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 191
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    AIChE Journal 12 (1966), S. 414-414 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 192
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    AIChE Journal 12 (1966), S. 622-622 
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    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 193
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    AIChE Journal 12 (1966), S. 419-419 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 194
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    AIChE Journal 12 (1966), S. 456-460 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Previous results for a class of flows dynamically possible in a Noll simple fluid are the starting point for a description of melt spinning or dry spinning in the limit of a rapidly extruded, small diameter polymer thread. Simultaneous energy and mass transfer, important in the real process, are not taken into account; also neglected are inertial effects, body forces, and surface tension.
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  • 195
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    AIChE Journal 12 (1966), S. 478-484 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Pitot tube readings in a viscoelastic turbulent stream are discussed thoretically, and are shown to be made up by a first normal stress contribution, an integral normal stress contribution, and a kinetic contribution. These three contribution are of comparable orders of magnitude. The integral of a Pitot tube scanning curve is shown to yield a momentum average factor of direct physical relavance. Experimental data show that the normal stress contributions are not negligible even in the central region of the pipe, although turbulent flow conditions were reached. Observed values of the relevant parameters are discussed.
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    AIChE Journal 12 (1966), S. 495-498 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Previous work on the ionization equilibria of weak acids and bases at high pressures suggested that compression should favor the transfer of protons from a weakly acidic resin to a weakly basic one in a mixed bed system, and that the resulting increase of ionization should extract cations and anions from the surrounding solution. In agreement with this idea it has now been observed that the equilibrium concentration of a solution of sodium chloride around a mixture of De-Acidite M and Zeo-Karb 226 resins is almost halved when the pressure is raised from 1 to 3,000 atm. The change is completely reversible.The measurements indicate that the proton transfer process involves a contraction of about 15 cc. mole-1, which is remarkably close to the analogous contraction [15 to 18 cc. mole-1] that occurs when a proton is transferred from a free carboxylic acid to an amine in solution.
    Additional Material: 1 Tab.
    Type of Medium: Electronic Resource
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  • 197
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 508-513 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: On the basis of a back-flow model, the rates of interstage mixing of continuous phase for RDC and Mixco columns are measured experimentally under flow and nonflow conditions. These rates are correlated into dimensionless formulas for wide combinations of operational condition, column geometry, and dimensions, and are put into a single formula by introducing the power number as an additional parameter. The final correlation covers the impeller Reynolds number from 3.5 × 103 to 1.0 × 106 and the diameter of columns from 4.1 to 218 cm.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
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  • 198
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 514-522 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Concentration and temperature transients in a packed-bed tubular chemical reactor were calculated from mathematical models in order to detemine the effects upon the reactor dynamics of several phenomena. The phenomena studied are the thermal capacity of the packing, the resistance to heat flow between the packing and the fluid, the coupling of temperature and concentration through the rate of chemical reaction, axial fluid mixing, radial fluid mixing, and the loss of heat at the wall. Three mathematical models were used: a two-dimensional finite-stage model, a one-dimensional finite-stage model, and a one-dimensional first-order differential model. The chemical reaction considered in these models was an exothermic, homogeneous, liquid phase, second-order reaction.Machine calculations of transients following step changes in feed temperature or concentration showed that only the first three phenomena were important. It was also found that concentration transients in some cases initially moved in the direction leading away from the final steady state or overshot the final steady state. Further, a concentration node point was found to exist in the reactor under some circumstances. The one-dimensional models considered were shown to be simple but quantitatively and conceptually useful.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
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  • 199
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 790-795 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Heat transfer coefficients have been measured over a range of Reynolds numbers for a solid-vapor mixture of parahydrogen discharging through a heated brass tube below the triple point pressure. A correlation is given which is shown by a formal analysis of a simple model to account for most of the system variables.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
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  • 200
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 12 (1966), S. 802-804 
    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 discussion is presented for the separation attainable via adsorption at the surfaces of bubbles rising up through a liquid solution. This heretofore neglected operation, which is called bubble fractionation, differs from both foam fractionation and gas desorption.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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