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  • GEOPHYSICS  (902)
  • Chemical Engineering  (648)
  • 1995-1999
  • 1975-1979  (767)
  • 1965-1969  (783)
  • 1977  (767)
  • 1967  (783)
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  • 1995-1999
  • 1975-1979  (767)
  • 1965-1969  (783)
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  • 101
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 13 (1967), S. 70-77 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: In the first part of this paper a theory for isothermal homogeneous two-phase, liquid-gas flow in horizontal pipes is established by introducing the concept of Mach number and by considering the medium to be a pseudo gas. The theory takes account of wall friction, compressibility and flow choking. A set of working formulas is obtained. In the second part, results of experiments on homogeneous bubbly flows of water-air mixtures in a 1-in. Pipe are reported. Criteria for the occurrence of bubbly flow are established and the occurrence of flow choking confirmed. It is shown that the mathematical model is adequate insofar as it explains, phenomenologically, real flow conditions.
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  • 102
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    AIChE Journal 13 (1967), S. 77-85 
    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-difference methods were used to compute hydrodynamic instability due to natural convection in an enclosed horizontal rectangular region heated from below. Critical Rayleigh numbers were determined for a series of Prandtl numbers and length-to-height ratios. For Prandtl numbers greater than unity excellent agreement was obtained between these calculations and the values predicted by Kurzweg on the basis of a linearized theory. However, for Prandtl numbers less than unity the critical Rayleigh numbers exhibited a dependence on NPr, which was not predicted by the linearized theory. For Rayleigh numbers greater than the critical, complete temperature and velocity fields were determined.The calculations assumed that the fluid motion is two dimensional. Experiments have indicated that the flow may be two or three dimensional depending on minor perturbations in the boundary conditions.Although a number of metastable two-dimensional circulations are possible for symmetrical initial conditions, the calculation always converged to a single, unique solution for any asymmetric initial condition.
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  • 103
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 13 (1967), S. 60-69 
    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 presents vapor-liquid equilibrium data for the system hydrogen - benzene - cyclohexane - n-hexane over the pressure range of 500 to 2,000 lb./sq.in.abs. and the temperature range of 200° to 300°F. Experimental equipment was constructed that was capable of operating at pressures of 3,000 lb./sq.in.abs. and at temperatures of 400°F. A static equilibrium cell, which had a sample port for both the liquid and vapor phases, was employed. Separation of the hydrogen from the hydrocarbons by means of a liquid nitrogen cold trap was utilized before performing the hydrocarbon analyses on a mass spectrometer. Three hydrocarbon mixtures were charged to the equilibrium cell, and for each charge, isotherms of 200°, 250°, and 300°F. were run for equilibrium pressures of 500, 1,000, 1,500 and 2,000 lb./sq.in.abs. These thirty-six quaternary equilibrium runs resulted in a total of one hundred and forty-four equilibrium data points. In addition, four binary equilibrium runs were determined both for the hydrogen-benzene and hydrogen-cyclohexane systems. A modified version of the Chao-Seader correlation was used to predict the data. This correlation was able to predict all the quaternary equilibrium ratios with an average deviation of 4.86%.
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  • 104
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 13 (1967), S. 97-101 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An analytical solution based on a previously proposed entrance model is developed for the case of flow at low Reynolds numbers. Agreement between this solution and the published numerical solution at this Reynolds number limit supports the authenticity of the numerical solutions presented previously.
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  • 105
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    AIChE Journal 13 (1967), S. 91-96 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: In the measurement of the absorption of carbon dioxide gas by a series of oil drops moving down a vertical wire the variables studied are drop frequency, oil viscosity, wire size, and column length. A model is proposed which assumes that the gas is absorbed by almost stagnant liquid film between and covering the drops, that the film is subsequently mixed with a drop as it moves past, and that the dissolved gas is carried from the column in circulating loops of liquid within the drops. The model leads to an equation which correlates the data and gives a good approximation to the slope of the line.
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  • 106
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    AIChE Journal 13 (1967), S. 108-113 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: It is shown that the first variation method can be used to provide an excellent starting condition for the second variation control of nonlinear systems. Numerical examples illustrate the basic features of the methods.
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  • 107
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    AIChE Journal 13 (1967), S. 86-91 
    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 decomposition of nickel tetracarbonyl at pressures between 20 and 200 torrs was studied at temperatures from 100° to 225°C. In the cross-flow system, the rate in the absence of appreciable dilution was primarily limited by kinetic resistances at temperatures up to about 175°C. over an effective Reynolds number range of 5 to 100. Gas phase diffusional resistances were controlling at higher temperatures. Corrections for natural convection were employed in both the kinetic and diffusional regions of control.
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  • 108
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    AIChE Journal 13 (1967), S. 101-108 
    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 straightforward and simple algorithm is presented for obtaining the optimal control of nonlinear systems. This algorithm has many of the advantages of dynamic programming but not the disadvantage of excessive computer storage. A number of numerical examples are presented to show the versatility of the method.
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  • 109
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    AIChE Journal 13 (1967), S. 118-121 
    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 typical solubility boundaries of binary simple hydrocarbon-water systems are outlined for temperatures and pressures ranging into the neighborhood of the critical point for pure water. These systems are characterized by two unique states, a critical vaporization end point and a critical solution end point. The former defines the limit of mutual solubility of two liquid phases, and the latter defines a point of complete solubility at a minimum pressure. Experimental P-T-x data for cyclohexane-water and n-hexane-water mixtures are presented.
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  • 110
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    AIChE Journal 13 (1967), S. 114-118 
    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 iterative technique is proposed that solves the two-point boundary value problem formed from the variational equations for the optimal control of nonlinear systems. The computational algorithm utilizes invariant imbedding to provide a set of the unknown boundary conditions and quasilinearization to calculate the optimal control policy. A numerical example indicates that the method exhibits considerable promise.
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  • 111
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    AIChE Journal 13 (1967), S. 122-125 
    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 flow of molten polymer through porous media has been investigated at constant temperatures and flow rates. Temperatures of 375°, 400°, and 425°F., flow rates from 12 to 60 g./min. and particle sizes from 0.054 in. to 6 mm. in diameter were studied. A modified Darcy's law was developed using the Metzner-Reed modification of the Mooney-Rabinowitsch relation. This form was then used to develop a modified friction factor plot which correlated the data with an average error of 5.02%. Calculated superficial velocities from the Darcy's law equation checked experimental values generally to within 10%. A technique for estimating shear rates when curved rheological flow curves occurred was also developed.
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  • 112
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    AIChE Journal 13 (1967), S. 125-131 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A mathematical model of dynamic distillation was verified experimentally for transients resulting from a sequence of upsets in operating conditions, that is, for upsets occurring in the unsteady state before the effects of previous upsets died out.The equations for feed-forward control of the top product composition by reflux ratio control action were derived and a computer program was written in FORTRAN for solution on a digital computer. This control model was employed in the feed-forward control of an experimental distillation column when subjected to an upset in feed composition.Experimental data were obtained from a twelve-plate, 10-in. diameter distillation column with a methanol-tertiary butyl alcohol system. The numerical technique employed is a completely general divided difference method which can be utilized in the solution of any system of first-order differential equations.
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  • 113
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    AIChE Journal 13 (1967), S. 132-140 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Steady state heat and mass transfer between a submerged evaporative interface in a porous medium and an external gas stream were analyzed theoretically. Local and average evaporation rates for laminar and turbulent flow over a flat plate as well as for fully developed laminar or turbulent flow near the thermal entry region of a duct were obtained as a function of the position of the evaporative interface. Calculated local evaporation rates are significantly lower than values computed by Luikov, who did not take into account the variation of evaporative surface temperature with recession, indicated both by the present analysis and by observations related to the drying of thick porous materials. Application to the analysis of the drying process is discussed.
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  • 114
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    AIChE Journal 13 (1967), S. 140-147 
    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 variable-property, laminar, boundary-layer equations, which describe simultaneous momentum, heat, and binary mass transfer with thermodynamic coupling,Thermodynamic coupling refers to the Soret (or thermaldiffusion)effect, which is the flow of mass caused hy a temperaturegradient, and the Dufour (or diffusion thermo) effect, which is theflow of heat caused by a concentration gradient. are analyzed for air flows over a flat plate with the injection of foreign gases through the solid surface. A simplified general treatment of thermodynamic coupling is developed and applied to yield approximate but accurate expressions for evaluating heat transfer rates and adiabatic wall temperatures for injection of hydrogen, helium, and carbon dioxide. This method explains why the driving force based on (Tω - Tω) can be used to correlate heat transfer results for situations where diffusion thermo is important. Furthermore, and perhaps most significant, the method provides a simple error estimate for the correlation obtained by using the adiabatic wall temperature.It is shown that the injection of lightweight gases can significantly reduce viscous dissipation in flows over slender bodies and that diffusion thermo and dissipation effects can be otion in flows over slender bodies and that diffusion thermo and dissipation effects can be of the same order of magnitude even for reasonably high-velocity flows. These effects are discussed in terms of convenient quantities, called σ functions.
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  • 115
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    AIChE Journal 13 (1967), S. 148-155 
    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 was devised to yield chemical reaction kinetic parameters from nonisothermal, nonisobaric flow experiments. The system studied was the pyrolysis of propane at high temperatures (800° to 1,000°C.). At these temperatures the rates of the various reactions are so high that a batch or even an isothermal flow experiment is impossible. To keep the conversions low so that the initial stages of decomposition could be studied, the feed gas was diluted with varying amounts of nitrogen. Residence times in the reactor were in the millisecond range. The reactor exit gas was analyzed by mass spectrometry. The method developed in this work is not limited to simple kinetic studies, but can be useful in complicated series and parallel reactions which often require nonisothermal conditions.
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  • 116
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    AIChE Journal 13 (1967), S. 155-159 
    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 isobaric calorimeter has been built for measuring the integral heat of vaporization at high pressures and low temperatures simultaneously with vapor-liquid equilibria data. The methane-ethylene system was studied at 20 and 40 atm., with data obtained on three mixtures and the two pure components. The experimental results are compared with three different calculation methods.
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  • 117
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    AIChE Journal 13 (1967), S. 160-164 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: With the use of the heat balance integral method, a formula for the depth of solidification in a stratified medium is derived that applies to Newton's cooling at the surface, where the temperature of the cooling medium is variable. The presence of a surface layer with zero latent heat is given a special consideration. Comparison of the proposed formula with the direct field measurements and the calculations carried out by others shows a satisfactory coincidence. For the simplified boundary conditions, the formular reduces to a known analytical solution.
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  • 118
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    AIChE Journal 13 (1967), S. 165-169 
    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 numerical method and graphs of generalized solutions are presented for a moving interface problem of freezing a saturated liquid inside a cylindrical or a spherical container with a constant heat transfer coefficient, as well as melting a saturated solid. The frozen solid phase has a constant heat capacity.
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  • 119
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    AIChE Journal 13 (1967), S. 169-173 
    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 generalized differentiation method for analyzing rheological data of time-independent fluids is presented. The method is demonstrated to be valid and useful in analyzing rheological data and comparing such data obtained on the same time-independent fluid in rheometers of the capillary, annular, coaxial cylinder rotational, and falling cylinder types.
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  • 120
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    AIChE Journal 13 (1967), S. 176-179 
    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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  • 121
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    AIChE Journal 13 (1967), S. 174-175 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Data on liquid phase-controlled gas absorption in the loading regime are presented. Carbon dioxide was desorbed from water by using a 6-in. Diameter tower and 1/2- and 3/4-in. Ceramic rings. Below the loading point, HL increases approximately as the 0.25 power of the liquid rate and is independent of gas rate. In the loading regime, however, it was found that at high gas rates HL increases less rapidly and may even decrease with increase in liquid rate. At intermediate gas rates, the effect of liquid rate on HL is intermediate. These effects are explained on the basis of the interaction of the gas and liquid flow rates and the effect of this interaction on KL and a. The results suggest that in some cases tower capacity may be increased without increasing HL.
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  • 122
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    AIChE Journal 13 (1967), S. 179-181 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 123
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    AIChE Journal 13 (1967), S. 186-188 
    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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  • 124
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    AIChE Journal 13 (1967), S. 182-186 
    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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  • 125
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    AIChE Journal 13 (1967), S. 191-192 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 126
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    AIChE Journal 13 (1967), S. 189-191 
    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 13 (1967), S. 192-194 
    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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  • 128
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    AIChE Journal 13 (1967), S. 194-199 
    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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  • 129
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    AIChE Journal 13 (1967) 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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  • 130
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  • 131
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    AIChE Journal 13 (1967), S. 211-211 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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  • 132
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  • 133
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    AIChE Journal 13 (1967), S. 414-415 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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  • 134
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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: This study was undertaken to ascertain the accuracy of finite-difference solutions for flow around spherical particles in the intermediate Reynolds number range. Comparison of the results with experimental data on drag coefficients, frontal stagnation pressure, and wake geometry indicated good agreement. The approximate solutions, in which the Galerkin method and asymptotic analytical predictions were utilized, were evaluated by using the finite-difference solutions as a standard. These methods were used to calculate the effect of uniform and nonuniform mass efflux on the drag and flow characteristics around a sphere. Theoretical solutions indicated that nonuniform mass efflux can significantly reduce the drag on a submerged object. Ranges of applicability of the approximate methods were established.
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  • 135
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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: Steady state solutions of the Navier-Stokes equations for Reynolds numbers of 0.1, 1, 50, 100, and 200 have been obtained by using finite-difference methods. The effects of radial and angular step size and wall proximity have been investigated. Results were found in the form of stream function and vorticity distributions with pressure distributions and drag coefficients calculated from them. The results compare favorably with experimental data and show a steady trend from Hadamard-Rybczynski flow to boundary-layer flow after Levich-Chao-Moore. For a circulating sphere of low viscosity there is no flow separation indicated at Reynolds numbers equal to or less than 200.
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  • 136
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    AIChE Journal 13 (1967), S. 224-230 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The basic equations that describe the thermal diffusion column, including the forgotten effect, were solved numerically. When the density of the liquid in the column varies with concentration, the effect is important in transient batch operation of columns, increasingly so as the wall spacing decreases, but it has no influence at the steady state. Experimental work corroborated the theoretical results.According to the theory, the instances of concentration reversal reported in the literature cannot be the result of the forgotten effect; the fluids involved could not have had the necessary properties. Attempted duplications of these instances in careful experiments yielded normal behavior. However, theoretical and experimental work on a column with a deliberately nonconstant wall spacing indicated that concentration reversals could occur in the complete absence of any forgotten effect contribution.
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  • 137
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    AIChE Journal 13 (1967), S. 231-236 
    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 instrument based on the Burnett method for determining gas compressibility at high temperature and high pressure was constructed. An estimate of the accumulated measurement errors indicate the data should be accurate to eight parts in 10,000. The instrument was calibrated up to 1,000 lb./sq.in. with helium at 200° and 300°C. The average absolute difference between the experimental and the smoothed helium compressibility factor data was 4 and 6 parts/100,000 for the 200° and 300°C. isotherms, respectively. Compressibility factor data for methyl chloride from 200° to 350°C. at 25°C. intervals and at pressures to 5,000 lb./sq.in. are reported. Second virial coefficients for helium and methyl chloride were also obtained.
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    AIChE Journal 13 (1967), S. 236-240 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Feedback and feedforward inventory control systems are derived which give improved probability of holding all inventories between predetermined limits, even when there are fewer controllers than controlled variables. The concept of partial controllability is developed to describe systems with uncontrollable states. An example shows that four tank levels can be held within limits with high probability, with only one manipulated flow rate used.
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    AIChE Journal 13 (1967), S. 241-244 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: Phase equilibria in the decane-urea-ethanol system were investigated between 15° and 40°C. Solubility limits for urea-decane adduct in ternary liquid solutions and for urea in ethanol were measured over the entire feasible range of compositions, thus defining the phase diagrams. Activity coefficients estimated for the saturated liquid solutions reflected strong positive deviations from ideality. The magnitudes were consistent with the results of independent vaporliquid equilibrium studies.
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    AIChE Journal 13 (1967), S. 245-249 
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    Notes: Supersaturated solutions with randomly distributed seed crystals were formed by jet mixing of saturated slurries of urea - decane adduct and decane - urea - ethanol solutions. The resulting crystal growth rates were measured quantitatively with a rapid-mixing, stopped-flow calorimeter. Nucleation of additional crystals was negligible. Times required for 90% adduction ranged between 0.375 and 25.5 sec., a 68-fold variation. A single dimensionless chronomal which adequately represented all the kinetic data was obtained. In all runs, liquid phase mass transfer appeared to control the rate of adduction, despite the fact that the rapid mixing greatly reduced mass transfer resistance. Whereas the data were consistent with several equations describing models based on diffusional rate control, the results did not support mechanisms involving surface phenomena.
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    AIChE Journal 13 (1967), S. 250-253 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: The terminal velocity of bubbles in low viscosity liquids of infinite extent is known to undergo a marked transition in behavior at an equivalent radius in the order of 0.07 cm. This transition is apparently due to a change from viscous to inviscid flow. It is also known that the inviscid flow regime can be further subdivided into surface tension- (Weber number) and buoyancy- (Froude number) dominated regimes. This behavior of rising bubbles is strikingly similar to the behavior of surface waves propagated over deep water. The analogy is found to be in quantitative agreement when the wavelength is suitably interpreted in terms of bubble dimensions. The inference of this analogy is that bubbles may be thought of as interfacial disturbances whose rate of propagation is governed by the well-known laws of wave motion.
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    AIChE Journal 13 (1967), S. 260-266 
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    Notes: Eleven mixtures of the three isomers of xylene and ethylbenzene were isomerized over a silica-alumina catalyst in a differential tubular reactor at temperatures from 700° to 900°F. and pressures from 0 to 100 lb./sq. in. gauge. Analysis showed that meta-xylene isomerizes reversibly to ortho- and para-xylene, but the direct interconversion of ortho-xylene to meta-xylene does not occur. Further, it appears that the isomerization reactions are first order and, by the Hougen-Watson technique, follow a single-site reaction model.
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    AIChE Journal 13 (1967), S. 253-259 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: The flow of viscoelastic fluids past a flat plate has been investigated. Experimental studies were performed with aqueous solutions of sodium carboxymethylcellulose used as viscoelastic fluids and corn syrup as a viscous Newtonian fluid. It was observed that the flow patterns of elastic and inelastic fluids are markedly different. Tracer particles placed in the approaching viscoelastic fluids to follow their motion were seen to first decelerate and then to accelerate until a nearly constant velocity was reached. On the other hand tracer particles in the Newtonian fluid were observed merely to decelerate smoothly to the constant velocity.The drag force measured for the viscoelastic fluids was found to be roughly twice that predicted by inelastic models of fluid behavior. Predicted and measured values of the drag force for the Newtonian fluid agreed well.A discussion of mathematical solutions to the problem of flow of viscoelastic fluids past a flat plate is given. Solutions are obtained for a prototype of flow past a flat plate, the suddenly accelerated flat plate (Stokes' problem) with linear viscoelastic models used. The results from Stokes' problem qualitatively explain the anomalous kinematical behavior and the large drag force.
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    AIChE Journal 13 (1967), S. 266-272 
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    Notes: The distribution across a pipe of turbulent intensities, shearing stress, and energy spectra are inferred from measured electrokinetic-potential fluctuations in a fully developed flow of distilled water in a 2.54-cm. diameter glass pipe. These quantities are shown to be in good agreement with those obtained by Laufer and Sandborn with hot-wire anemometers for air flows at the same mean Reynolds number. A tentative analytical model of the phenomenon is constructed and analyzed by Maxwell's electrodynamic field equations for a nonmagnetized medium moving with a velocity which is much smaller than the velocity of light. A set of equations governing the interrelation between the electrokinetic-potential fluctuations and the turbulent velocity-fluctuation components of the flow field in fully developed pipe flow is deduced. Fourier transforms are then introduced and simple relations between the electrokinetic-potential fluctuations and velocity fluctuations are obtained.
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    AIChE Journal 13 (1967), S. 273-279 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: A study of the motion of the interface in two-phase flow in two dimensions with gravity force parallel to the plane of motion is described. The experiments were run in a porous medium analog, the Hele-Shaw model. A modification of the Saffman-Taylor solution is compared with the experimental results. The arbitrary parameter in the solution, measured in the experiments, does not approach an asymptote but is a function of the ratio of plate spacing to channel height. In the course of the air-water experiments three forms of the interface were observed before turbulence, which indicate regime changes in the flow. Finally, the effects of heterogeneities (change in plate spacing) on the interface were observed.
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    AIChE Journal 13 (1967), S. 1214-1216 
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    AIChE Journal 13 (1967), S. 1219-1221 
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    AIChE Journal 13 (1967), S. 1216-1219 
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    AIChE Journal 13 (1967), S. 1221-1225 
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    AIChE Journal 13 (1967), S. 1226-1229 
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    AIChE Journal 13 (1967), S. 401-402 
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    AIChE Journal 13 (1967), S. 403-404 
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    AIChE Journal 13 (1967), S. 404-406 
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    AIChE Journal 13 (1967), S. 497-503 
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    Notes: Reverse osmosis experimental data for some inorganic salts with the porous cellulose acetate membrane used were analyzed to obtain their diffusivity in the membrane. A parameter including the diffusivity was found constant for each film in the concentration range investigated for a particular solute at a particular pressure. This parameter was also independent of feed flow rate. The effect of operating pressure on the parameter was found to depend on the film shrinkage. Mass transfer coefficient between the membrane and the feed solution was also obtained by the analysis, and this value was independently checked by the diffusion current method. Coincidence of these coefficients shows that the ordinary mass transfer coefficient can be used in reverse osmosis with the appropriate driving force. These facts facilitate the prediction of solute separation and membrane throughput rate in reverse osmosis.
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    AIChE Journal 13 (1967), S. 519-527 
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    Notes: A theoretical study of the transient state of a plug-flow tubular reactor with recycle is presenred for a model in which axial dispersion of heat and mass is negligible. A qualitative description of the temporal behavior near the steady state is obtained from an analysis of the linearized transient equations, and some large-scale transient characteristics are studied by means of numerical solution of the nonlinear transient equations. A cursory study of the application of the Liapunov's direct method to predict regions of asymptotic stability is also presented. Numerical examples illustrate sustained oscillatory behavior as well as the transient nature of systems with multiple steady states.
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    AIChE Journal 13 (1967), S. 513-519 
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    Notes: Longitudinal turbulence intensities, autocorrelations, and energy spectra have been measured in the flow of toluene, benzene, and cyclohexane in smooth, round 1- and 2-in. I.D. tubes. These measurements were made with a constant-temperature hot-film anemometer and covered radial positions from the center to r/a = 0.85 in the 2-in. tube and to r/a = 0.75 in the 1-in. tube.The turbulence intensity data were found to be similar to those obtained for air in a 10-in. pipe by Laufer. A slight diameter effect was observed, the intensities in the 1-in. tube being slightly lower than those in the 2-in. tube at equal Reynolds numbers.The energy spectra were similar to the spectrum reported by Lee and Brodkey for water. The spectra reached higher frequencies at the lowest measurable energy levels for higher velocities. There was little effect of tube diameter or radial position on the spectra from the center to r/a = 0.85. A short inertial subrange with a log-log slope of -5/3 seemed evident in high velocity spectra, and the log-log slope of -7 was approached at high frequencies by the lowest velocity spectrum.The peak energy dissipation frequencies for all the energy spectra measured were approximately proportional to bulk mean velocity to the 1.4 power with little effect of tube diameter or radial position from the center to r/a = 0.85.Integral scales of the turbulence were proportional to bulk mean velocity to a power less than one for a given tube. These measurements indicated that the ratio of integral scale to pipe diameter is not a function of Reynolds number only.Microscale values were relatively independent of velocity and pipe diameter.
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    AIChE Journal 13 (1967), S. 580-585 
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    Notes: A stochastic mixing model is developed for turbulent flow in homogeneous plug-flow reactors. The model is based on random coalescence and redispersion of fluid elements. Of special significance is its applicability when mixing and reaction rates are comparable, as well as when either rate dominates. The model's parameters may be determined by measuring conversion with instantaneous reactions. Experimental results reported by others are successfully simulated.
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    AIChE Journal 13 (1967), S. 586-589 
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    Notes: Using a thermodynamically consistent form of equation of state proposed by Foulkes, one can determine the virial coefficients of the pressure expansion from Joule-Thomson coefficient data. A modification of the method has been applied for nitrogen and ethane within the temperature range from 50°C. to the normal boiling point. Mixture rules are proposed that allow reproduction of experimental data on μ for nitrogen-ethane mixtures at pressures below the critical pressure of ethane.
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    AIChE Journal 13 (1967), S. 608-611 
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    AIChE Journal 13 (1967), S. 611-612 
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    AIChE Journal 13 (1967), S. 616-616 
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    AIChE Journal 13 (1967), S. 621-622 
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    AIChE Journal 13 (1967) 
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    AIChE Journal 13 (1967), S. 663-669 
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    Notes: A correlations has been developed from considerations of single-phase flow behavior to predict pressure drop across packed beds for two-phase cocurrent flow. The correlation does no require one of the assumptions made in previous correlations, and thus it was not necessary to relate empirically any dimensionless groups through the use of experimental two-phase flow data. The only empiricism involved in the use of this correlation is that required in correlating single-phase pressure drops through packed beds, an art well developed in the literature. The correlation as developed here is at least as accurate as previous correlations in this area and may be more reliable when used for two-phase systems not previously studied experimentally.
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    Notes: Enhanced rates of mass transfer in aqueous systems were studied with an electrochemical technique. Detached turbulence promoters (cylinders supported away from the surface) were shown to cause increases in mass transfer in aqueous systems in a manner similar to that observed in gaseous system. As in air studies, peaks in the local rate of mass transfer were observed directly beneath the cylinders and a wake effect was observed downstream from the cylinders.
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    AIChE Journal 13 (1967), S. 682-688 
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    Notes: The stability of cylindrical jets in immiscible liquid systems is analyzed with the low velocity theory of Tomotika. For the first time the several limiting solutions in the literature are obtained from a general equation, so approximate restrictions on their applicability can be presented. These restrictions show that for many systems none of the limiting solutions is valid. Correlations applicable to all Newtonian liquid-liquid systems are presented for predicting the growth rate and wavelength of the most unstable disturbance.
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    Notes: The second virial coefficients of pure n-butane and of two mixtures of helium and n-butane were determined in the range 100° to 225°C. from isothermal compressibility measurements. Values of B11 (pure n-butane) agree closely with those of McGlashan and Potter (11) at low temperatures and of Hirschfelder et al. (7) at higher temperatures. Values of the mixed second virial coefficient B12 were computed from the mixture data. B12 shows little variation with temperature over this interval. The interpretation of the data as the behavior of a mixture composed of hard sphere (helium) in a real gas (n-butane) is discussed.
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    AIChE Journal 13 (1967), S. 726-731 
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    Notes: The reaction between aluminum, in the form of flat plates, and chlorine was investigated in a flow system at temperatures from 500° to 650°F. Gaseous aluminum chloride was the reaction product at these temperatures. At 500°F. the reaction proceeded by pitting, and the rate appeared to be chemically controlled. The reaction mechanism changed at higher temperatures to give a smooth reacted surface, and the reaction rate was found to be dependent upon both mass transport and kinetic parameters. The method proposed by Rosner for calculating mass transport-dependent reaction rates was found to correlate both average and local rate data and was used to obtain estimates of the kinetic parameters for the heterogeneous surface reaction.
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    AIChE Journal 13 (1967), S. 810-813 
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    AIChE Journal 13 (1967), S. 814-815 
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    AIChE Journal 13 (1967), S. 815-816 
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    AIChE Journal 13 (1967), S. 817-821 
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    AIChE Journal 13 (1967), S. 821-823 
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    AIChE Journal 13 (1967), S. 824-825 
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    AIChE Journal 13 (1967), S. 834-834 
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    AIChE Journal 13 (1967), S. 835-1017 
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    AIChE Journal 13 (1967), S. 835-835 
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    AIChE Journal 13 (1967), S. 854-860 
    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 flash photolysis method for nondisturbing turbulent flow measurements has been applied to study conditions in the viscous sublayer in a square smooth pipe. Experimental results are obtained that are extremely difficult to obtain by any other known technique.The results show that, adjacent to the wall, there is a layer of very small thickness y+ = 1.6 ± 0.4 in which a linear velocity gradient occurs virtually at all times, but the slope of the gradient changes with time. Beyond y+ = 34.6 essentially turbulent flow exists. In the transition region in between, very disturbed flow conditions prevail. However, the technique used clearly indicates the instantaneous velocity distribution in the flow field bewteen the wall and the fully turbulent region.Statistical distributions of the instantaneous wall shear stress (evaluated from the slope of the velocity gradient), the laminar sublayer thickness, and the velocity at the edge of the laminar sublayer are obtained. It follows that the partial turbulence mechanism whereby the flow at a point is turbulent only a fraction of the time is, at least to an extent, responsible for the reduction of eddy diffusivity by kinematic viscosity close to the wall.Experimental velocity profile obtained in the present investigation is compared with the proposed and experimental velocity profiles of other authors.
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    AIChE Journal 13 (1967), S. 866-872 
    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 difference method for treating the complete two-dimensional Navier-Stokes equations in time-dependent form is applied to the prediction of incipient turbulence. A steady laminar flow profile is disturbed and the propagation of disturbances in time and space is calculated. Changes occur in amplitude and in character much as would be observed in a laboratory experiment. The classical paradox of stability of Poiseuille flow to low amplitude disturbances at all Reynolds numbers is studied and contrasted to plane-Poiseuille flow. The amplitude dependence of stability is demonstrated. The results are shown to be consistent with prior theoretical and experimental work. The work lends strong support to the difference approach to difficult stability problems.
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    AIChE Journal 13 (1967), S. 909-914 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Unsteady diffusion in the system methane-argon-hydrogen was studied in a Loschmidt apparatus with large changes in concentration. The mean concentration-time history was predicted within experimental error by the linearized equations of multicomponent mass transfer. In the calculations the Stefan-Maxwell equations were used to obtain the diffusivity matrix which was evaluated at the equilibrium concentration.Digital computer solutions to the nonlinear differential equations were also obtained for various systems and boundary conditions. The fluxes predicted by the linearized equations with the diffusivity matrix evaluated at the arithmetic average of the initial and boundary concentrations were in all cases within 5% of the numerical predictions.
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    AIChE Journal 13 (1967), S. 896-902 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: While much attention has been given to second virial coefficients of nonpolar gases, experimental and theoretical studies on third virial coefficients are scarce. This work presents a correlation of third virial coefficients within the framework of the corresponding states principle. The correlation is useful for estimating third virial coefficients of pure and mixed nonpolar gases, including the quatum gases helium, hydrogen, and neon. The importance of third virial cross coefficients in phase equilibrium predictions is illustrated with calculations for the solid-gas, methane-hydrogen system at 76°K.Brief attention is given to the pressure series form of the virial equation. Because of fortuitous cancellations, it is shown that for reduced temperatures above 1.4, the pressure series, truncated after the second term, is applicable to a wider range of density than the density series truncated after the second term. However, when both series are truncated after the third term, the density series appears to be superior regardless of reduced temperature.
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    AIChE Journal 13 (1967), S. 903-908 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The pyrolysis of propane has been studied over the temperature range 830° to 1180°C. with a single-pulse shock tube employed to effect rapid heating and quenching. Both the uncatalyzed decomposition and the decomposition catalyzed by hydrogen sulfide were studied. First-order rate constants for the uncatalyzed reaction are in excellent agreement with published data obtained in nonisothermal, tubular reactors. The product distribution differs from that obtained in other studies. It is characterized by decomposition of propane via two routes at roughly equal rates, one route leading to propylene and hydrogen, the other to ethylene and methane or ethane. Propylene subsequently is converted, almost stoichiometrically, to ethylene and acetylene. Hydrogen sulfide accelerates the initial decomposition of propane, thus maintaining high propylene selectivity to high propane conversion. A free radical mechanism is used to explain the gross features of the pyrolysis.
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    AIChE Journal 13 (1967), S. 961-964 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The problem of transient multicomponent diffusion of an arbitrary number of components in one-dimension with heterogeneous reaction has been solved exactly by means of the Laplace transform. Linearized expressions for the diffusion and reaction were used. Numerical evaluations of the solution are given and a comparison made with results derived by use of an effective diffusivity.
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    AIChE Journal 13 (1967), S. 989-995 
    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 drop size distributions resulting from the agitation of immiscible liquids were measured over a wide range of parameters. The average drop size is correlated by \documentclass{article}\pagestyle{empty}\begin{document}$ \overline D _{32}/L $\end{document} = 0.053 NWe-0.60. The distribution function for volume fraction is normal and depends only upon \documentclass{article}\pagestyle{empty}\begin{document}$ \overline D _{32} $\end{document}. The results are valid for very dilute solutions wherein coalescence of droplets plays no role in the dispersion mechanism.
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    AIChE Journal 13 (1967), S. 995-998 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Emulsion drop size distributions have been measured at various locations in a turbine mixer for the methyl isobutyl ketone-salt water system. The drop sizes are strongly dependent on the sampling position, being smallest near the impeller tip and largest at the bottom of the mixing tank. The variation of drop diameter with impeller speed has been studied and indicates that droplet breakup predominates near the impeller, whereas the coalescence of emulsion droplets can be controlling in other locations.
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    AIChE Journal 13 (1967), S. 999-1006 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The terminal velocities of spheres falling in aqueous solutions of hydroxyethyl cellulose and polyethylene oxide were determined with ruby and steel spheres. For each sphere the terminal velocity was obtained in seven cylinder sizes covering a range of sphere-to-cylinder diameter ratio from 0.0067 to 0.18. The data were used in an extrapolation to correct for the cylindrical wall effect. Several alternative extrapolation procedures for estimating the zero shear viscosity were attempted and the results were compared. An empirical correlation for the drag coefficient was developed in terms of the Ellis parameters of the fluids, and the Faxén wall correction for Newtonian flow. the correlation gives the drag coefficient within 4% for all cases in which the quantity ηvt/Dτ1/2 is less than 0.3.
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    AIChE Journal 13 (1967), S. 1031-1033 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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    AIChE Journal 13 (1967), S. 1029-1030 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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    AIChE Journal 13 (1967) 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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    AIChE Journal 13 (1967), S. 1081-1086 
    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 investigation was made of the simulation of bulk and solution polymerization of styrene in a continuous stirred-tank reactor (CSTR). A theoretical model from the literature was used to predict conversion, molecular weight distribution (MWD), and molecular weight averages. The kinetic rate constants required to solve the model were also taken from the literature.Styrene polymerizations were done at steady state in a laboratory-scale CSTR over a range of experimental conditions. The recently developed gel permeation chromatograph (GPC) was used to measure MWD and average molecular weights. Comparisons were made between the theoretically predicted and experimentally determined values.The effect of solvent was included in the theoretical model but further investigation is necessary before the effects of thermal polymerization, viscosity, and mixing can be included. Where the latter effects were not important, good agreement was obtained between theoretical and experimental values.
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    AIChE Journal 13 (1967), S. 1087-1091 
    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 free radical polymerization of styrene in benzene was studied theoretically and experimentally over ranges of monomer and catalyst (AIBN) concentrations and temperature in an isothermal, stirred batch reactor. Molecular weight distributions were measured with a gel permeation chromatograph. Tung's hermite polynomial method was used to correct for imperfect resolution.The differential rate equations have been solved to predict the conversion of monomer and molecular weight distribution of the polymer as a function of time. These solutions were used to interpret the experimental rate data.Good agreement between theory and experiment was found for narrow and broad distribution, provided the variation of the termination constant with solvent concentration was accounted for.The agreement between the experimental and calculated molecular weight distribution suggests the utility of gel pemeation chromatography in the investigation of polymer reaction kinetics.
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    AIChE Journal 13 (1967), S. 1092-1098 
    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 nonlinear unsteady state convective diffusion problem that describes the performance of a constant pressure cell is studied. The cell can be used to either determine membrane constants or to carry out batch filtration operations. It consists of a cylinder closed by a semipermeable membrane at one end and a piston at the other.The nonlinear partial differential equation governing the system was solved by both integral methods and the use of a similarity transformation. The similarity approach formulates the solution in the form of an infinite series and reduces the problem to finding the solution of an infinite system of ordinary differential equations. The series solution can be considered to be exact but its convergence is questionable for large values of time in the event B ≠ 0; when B = 0, the convergence is substantially better.Approximate solutions obtained by integral methods were examined in detail. It was found that the results obtained by these methods can involve serious errors, under certain circumstances, and these errors seem unpredictable a priori. Consequently, it is concluded that considerable care should be taken in the use of integral methods for solving mass transfer problems in which the velocity field is coupled with the convective diffusion equation and its boundary conditions.The numerical results obtained in this work are sufficiently comprehensive to be used, in conjunction with experimental data, to determine membrane constants which are required for the design of both continuous and batch membrane separation systems.
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    AIChE Journal 13 (1967), S. 1099-1107 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Thermodynamic analysis of high-pressure vapor-liquid equilibria requires information on the effect of pressure on liquid phase fugacities; this information is given by partial molar volumes in the liquid mixture. A method for predicting these partial molar volumes is presented here. First, molar volumes of saturated liquid mixtures are computed by extending to mixtures the corresponding states correlation of Lyckman and Eckert. These mixture volumes are then used to calculate partial molar volumes with an expression based on a modification of the Redlich-Kwong equation. At high pressures partial molar volumes are strong functions of the composition and in the critical region, may be positive or negative. Calculations are sensitive to the characteristic energy between dissimilar molecules; this energy is generally lower than that given by the geometric-mean rule. Calculated results are in good agreement with experimental data for seven systems containing paraffinic and aromatic hydrocarbons, carbon dioxide, and hydrogen sulfide.
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    AIChE Journal 13 (1967), S. 1107-1113 
    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 critical data for a larger number of binary mixtures of normal fluids shows that the critical temperature and the critical volume can each be expressed as quadratic functions of the surface fraction. Each of these functions requires one adjustable parameter characteristic of the binary pair; for any family of chemical components, these parameters, upon suitable reduction, follow definite trends. It was shown that the surface fraction gives much better correlation than any other size-weighted variable. For the critical pressure, however, no quadratic function was adequate. To calculate critical pressures, the correlations for critical temperature and critical volume were used in conjunction with a slightly altered version of the Redlich-Kwong equation.Generalizations to systems containing more than two components follow without additional assumptions. The methods presented in this paper provide good estimates for critical constants of multicomponent mixtures. These are particularly useful for analyzing and correlating vapor-liquid equilibria in the critical region.
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    AIChE Journal 13 (1967), S. 1114-1117 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: In this paper a method is presented for the computation of the heat transfer coefficient in a gas-air burner in the presence of combustion-driven transverse mode oscillations. By considering the oscillations in pressure within the chamber to be small compared with the mean chamber pressure, and to be known, methods of acoustics may be used to determine the average energy density of the acoustic waves at the wall. Consideration of this acoustic energy to create greater mixing in the boundary layer enables the heat transfer problem to be considered by the Dankwerts-Mickley model for turbulent heat exchange. With suitable definition of a friction velocity in terms of the friction velocity v* for fully developed turbulent pipe flow and the root mean square particle velocity of the acoustic wave (ar.m.s.ω), it is found that agreement exists between the computed ratio of heat transfer coefficients, with and without combustion-driven oscillations and the experiments of Zartman, which appear to be the only experimental data for transverse oscillations in a gas-air burner.
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    AIChE Journal 13 (1967), S. 1117-1119 
    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 permeation of propane, propylene, ethane, and ethylene through 0.0051-cm. thick polyethylene films was measured at temperatures between 25° and -30°C. Plots of P vs. 1/T for C3H8, C3H6, and C2H6 were saucer shaped, the activation energies changing from positive (endothermic) to negative (exothermic) over a narrow temperature range. This change is attributed to a plasticization-condensation phenomenon and a change in intermolecular potentials.
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    AIChE Journal 13 (1967), S. 1120-1124 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An experimental study of the spreading and dissolving of thin liquid films under the action of surface forces is presented. The method consists of the continuous feeding of a liquid over the surface of another liquid into which it dissolves; the steady film thus obtained covers only a part of the supporting liquid surface, dependent on the flow rate of the liquid fed. The dependence of the radius of the film contour on flow rate and concentration driving force is obtained for various film forming liquids dissolving into water. By using a Schlieren technique the film contour and the flow pattern outside the film contour are studied, several structures being evidenced.
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    AIChE Journal 13 (1967), S. 1167-1171 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An experimental investigation is presented of the ion flotation of dichromate from aqueous solution with a cationic surfactant and using a non-ionic polymer as a flocculant aid. A dissolved-air, continuous flow unit is used (with a surfactant-dichromate premix period of 1 hr.) with a feed rate of 120 liters/hr. of a stream containing from 25 to 100 mg./liter of dichromate. Within the ranges of the variables studied, optimum results are obtained with a molar surfactant to dichromate feed ratio of about 2, a feed polymer dosage of about 3% of the dichromate feed concentration, a recycle rate 200% of the feed rate, and a column detention time of 35 min. With an air requirement of 0.043 liters of air (at STP)/liter of feed delivered at 40 lb./sq. in. gauge, feed streams containing from 25 to 100 mg./liter of dichromate can be readily reduced to 10 mg./liter of dichromate and 30 mg./liter of surfactant. The primary advantage of the process lies in the concentration of dichromate, surfactant, and polymer in a small liquid volume of collapsed foam, less than 1% of the total feed throughput. Foam concentrations are of the order of 10,000 to 20,000 mg./liter of dichromate.
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    AIChE Journal 13 (1967), S. 1181-1187 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Particle-to-gas heat transfer coefficients were determined in packed and fluidized beds with large diameter particles and high mass velocities using the cyclic temperature method.Experimental results for packed beds were satisfactorily correlated within 10% deviation as εjh vs. NRe and were found to compare favorably with results of other experimenters obtained with much lower mass velocities and larger particles. The particle-to-gas heat transfer coefficient varied as G0.60 for the steel spheres vs. G0.66 for the tungsten spheres, and as Dp-0.44.Heat transfer coefficients obtained at minimum fluidization were in good agreement with those obtained with packed beds. As the mass velocity was increased above that required for minimum fluidization, heat transfer coefficients remained essentially constant.
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