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  • 1980-1984
  • 1965-1969  (1,785)
  • 1965  (1,785)
  • General Chemistry  (1,484)
  • Chemical Engineering  (301)
  • Nuclear reactions
Material
Years
  • 1980-1984
  • 1965-1969  (1,785)
Year
  • 1
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 54-58 
    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 diffusion of carbon dioxide through ethanol-water, benzene toluene, and carbon tetrachloride benzene was studied over the entire range of compositions for the solvent pairs. The results were interpreted in terms of an effective binary diffusion coefficient. Two semiempirical correlations were derived with the aid of absolute reaction rate theory to predict the effective binary diffusion coefficient from the binary diffusion coefficients of the solute in the individual pure solvents. These equations, although only crude approximations, reproduced the experimental data for six diffusion systems fairly well, including the highly nonideal solvent mixture ethanol-water.
    Additional Material: 1 Ill.
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  • 2
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 73-79 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Studies of the air oxidation of aquoeus sodium sulfite solutions were made in simple bubble contacting columns of 3-, 4-, and 6-in. diameter. Superficial gas rates up to 300 lb./hr.-sq.ft. were used. Contacting action is described in detail, and comparisons with air-water data show the marked influence of small, ionic bubbles. Mass transfer and dynamic gas holdup data are presented, and the former are compared with mass transfer data for bubble-cap trays.
    Additional Material: 11 Ill.
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  • 3
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 85-95 
    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 stability of a packed-bed reactor is presented subject to a model including axial and radial gradients in the interparticle field and gradients plus reaction in the intraparticle field. The stability of the entire reactor is characterized in terms of various stable and unstable conditions inside the porous particles. Simplifications in the mathematical model are shown to be invalid in many situations.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 138-144 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: If air flows concurrently with a liquid, there are critical air velocities above which two-dimensional and three-dimensional waves appear at the interface. The physical process responsible for these transitions is as follows: The disturbance in the velocity field in the air caused by these waves gives rise to pressure and shear stress variations over the wavy surface. Pressure variations in phase with the wave slope and shear stress variations in phase with the wave height transmit energy from the air flow to the liquid film. If the rate at which energy is transmitted to the waves by these mechanisms is not larger than the rate of viscous dissipation in the liquid, the waves will decay.The model of the gas flow proposed by Miles and Benjamin is used to calculate shear stress and pressure variations over the wavy surface. The agreement between predicted and measured critical air velocities, wave lengths, and wave velocities is good.
    Additional Material: 4 Ill.
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  • 5
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 164-167 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A generalized method has been developed for the prediction of the diffusivity and thermal conductivity of nonpolar gases for temperatures up to 10,000°K. This method is applicable to monatomic gases and to diatomic gases existing in their molecular and dissociated states. Dimensional analysis has been used to obtain relationships for self- and mutual diffusivities and for the translational contribution to the thermal conductivity of these substances. For the internal contribution to thermal conductivity, a modified Eucken-factor relationship is presented. Furthermore, relationships have been developed for the calculation of these transport properties for the equilibrium mixture of a dissociating gas.
    Additional Material: 3 Ill.
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  • 6
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 29-33 
    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: 6 Ill.
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  • 7
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 41-45 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: This work utilizes the developments of the foregoing paper (10) to analyze adsorption data, in the form of breakthrough curves, for ethyl alcohol on silica gel at 90° to 155°C. It was found that for the smallest particle size, and in the lower part of the temperature range, the overall rate was determined by the surface adsorption process. At other conditions intraparticle diffusion was also a significant resistance in the overall process. The theoretical breakthrough curves agreed well with the experimental ones, so that the surface rate constant and diffusivity could be calculated.Analysis of the diffusivity results showed that surface migration on the pore walls was the predominant contribution rather than gas-phase diffusion in the pore volume.
    Additional Material: 6 Ill.
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  • 8
    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: 7 Ill.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 59-64 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Experimental equipment to study the film boiling of liquid nitrogen on a porous heat source with vapor suction was developed. The electrically heated element was a 3.69 in. sintered stainless steel screen, which was also used as a resistance thermometer in conjunction with an a.c. potentiometric circuit. In preliminary work, this mode of heat transfer was unstable, but stability was achieved by placing a porous flow control element on the liquid side of the heater. It was found that the Nusselt number was a function of only the Reynolds number; the heat transfer coefficient was increased by a factor of as much as 2.5 over the heat transfer coefficient in normal film boiling; it was possible to vary independently any two of the three variables, heat flux, flow rate through the plate, and temperature difference; and the generated vapor was considerably superheated. Fluctuations in the local surface temperature were measured in film boiling from both porous and nonporous flat plates, indicating that momentary solid-liquid contacts can occur, for all practical purposes, in film boiling.
    Additional Material: 9 Ill.
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  • 10
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 96-99 
    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 experimental procedure for determining the initial hydrate formation conditions along the univariant gas-water rich liquid-hydrate locus through the measurement of equilibrium pressures and temperatures alone in a constant volume system has been successfully applied to several binary gas mixtures with water to pressures as high as 15,000 lb./sq. in.The general hydrate theory of van der Waals and Platteeuw, after appropriate modifications, was found valid for the accurate prediction of the initial hydrate formation conditions for selected mixtures of argon-methane and argon-nitrogen.The calculated methane-argon compositions in the hydrate phase are presented as a function of the methane-argon composition in the gas phase on a water-free basis but were not verified experimentally.
    Additional Material: 6 Ill.
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  • 11
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 274-279 
    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 presence of colloidal particulates has a significant effect upon the foam fractionation of aqueous solutions of surface-active agents. An experimental investigation is presented of the foam fractionation-flotation of the stannic oxide-cetyltrimethylammonium bromide (CTAB) and stannic oxide-alkyl benzene sulfonate (ABS) systems. The average diameter of the stannic oxide particles was 180Å, and particle concentrations were determined by turbidmetry. For stannic oxide-CTAB a froth flotation mechanism controls, and upon foaming feed sols of fixed concentration, fractional residuals of particulates and surfactant are approximately equal. Maximum enrichment ratios are obtained at maximum aeration time, minimum air rate, and maximum foam height. Increasing the feed concentration of particulates increases the collapsed foam volume, while the CTAB concentration in the residual sol first decreases and then becomes virtually constant. For stannic oxide-ABS sols, no particulates are removed preferentially in the foam. A foam fractionation mechanism controls, and compared with ABS solutions the addition of stannic oxide decreases the foam volume and residual ABS concentration, producing a pronounced increase in the enrichment ratio.
    Additional Material: 7 Ill.
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  • 12
    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 chromatographic retention volume data to obtain vapor-liquid equilibrium coefficients has been extended to a ternary system with all components present at finite concentrations in the liquid phase and essentially a light binary gas comprising the vapor phase. The data are obtained by observing the retention time of the solute of interest when that solute is eluted by a flowing gas stream through a column packed with an inert porous firebrick on which is impregnated a fixed, relatively nonvolatile liquid. The retention times are used to compute retention volumes which may be related to the K values of the solute.A previous mathematical description of the elution process is modified to include the case of an N component elution gas, all constituents of which are soluble in the fixed liquid phase. A general solution is derived for the multicomponent elution gas from which K values for each component may be calculated if retention volume data are taken for each, provided molecules of the solute samples used are distinguishable from others of the same species present in the eloution gas. For the case of indistinguishable sample molecules, the rate theory development of Stalkup and Deans is verified for a binary elution gas.Sufficient retention data were taken to completely define the concentration dependence of the K value for propane in the system methane-propane-n-decane at -20°, 0°, 40°, and 70°F. from 20 to 1,000 lb/sq.in.abs. Six methane-propane binary mixtures were used as elution gases, consisting of 2.08, 4.31, 6.90, 9.44, 13.09, 16.27 mole % propane. Retention data were also taken for methane under the same conditions. Distinguishability of sample molecules was achieved by using radioactive solute samples tagged with carbon-14.Propane retention data were also obtained for the system methane-propane-n-heptane at -20° and -40°F. from 100 to 1,000 lb./sq.in.abs. for propane at infinite dilution and for binary elution gases composed of 2.08 mole % propane at -40°F. and 4.31 mole % propane at -20°F.All K values determined chromatographically were either compared directly with published static equilibrium values or tested for consistency with such values and found to be in substantial agreement.
    Additional Material: 11 Ill.
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  • 13
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 311-318 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The vertical upflow of air-water mixtures in the dispersed-annular flow regime has been studied in a ¼ × 3-in. rectangular channel. Dye injection into the wall film was used to determine film and gas core properties along with the rate of droplet interchange between the core and the film. Visual observations demonstrated that the most important characteristic of this flow regime is the surface waves generated by the gas flow over the liquid film. Despite the surface waves, these data indicate that the liquid film approximately follows the generalized u+  -  y+ relationship for turbulent pipe flow. The droplet motion is discussed in terms of transverse diffusion and momentum transfer.
    Additional Material: 7 Ill.
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  • 14
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 334-339 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The Lydersen-Greenkorn-Hougen (L-G-H) charts correlating the isothermal pressure effects on enthalpy for pure compounds based on a modified corresponding states principle have been improved with the aid of reliable literature data. To facilitate machine computations, the improved charts, divided into the superheated vapor region, the subcooled liquid region, the saturated vapor, and the saturated liquid lines, have been expressed in analytical forms. This correlation reproduces the literature enthalpy data including those in the critical region for pure compounds with an average deviation of about 5 B.t.u./lb. It can also be used for the estimation of enthalpies of nonpolar mixtures with satisfactory results.
    Additional Material: 4 Ill.
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  • 15
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 364-365 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Type of Medium: Electronic Resource
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  • 16
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 369-373 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 1 Ill.
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  • 17
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965) 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Type of Medium: Electronic Resource
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  • 18
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 387-387 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Type of Medium: Electronic Resource
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  • 19
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 395-402 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Experimental measurements have been performed for pulsed perforated-plate columns of different sizes and geometry to obtain longitudinal dispersion coefficients for continuous and dispersed phases and size and holdup of liquid droplets dispersed in the columns. These quantities are correlated with operating conditions and column design, including the data published by different authors. Longitudinal dispersion coefficients for the continuous phase are shown to follow the backflow model. A superficial number of stages in series in each compartment is shown to come from inherent instability of fluid motion in the compartment. The longitudinal dispersion coefficient of the dispersed phase approaches that of the continuous phase with increasing pulse velocity. Holdup and mean size of droplets are correlated mainly on the basis of the rate of energy dissipation in the column fluid. Inclusion of dispersed-phase viscosity is shown to correlate the holdup data successfully for different liquid-liquid systems.
    Additional Material: 9 Ill.
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  • 20
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 418-424 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Theoretical models for the drainage of the liquid film between a droplet and the interface have been presented in which the thickness of the film is assumed to vary. The models have been used to derive expressions for the film drainage time and the pressure drop through the film. The experimental results presented in Part I of this paper, when inserted into the equations, show that the drainage film is thinnest at its periphery. These conclusions have been supported by high-speed photography and have been used to explain the distribution of coalescence times reported by all investigators in this field.
    Additional Material: 10 Ill.
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  • 21
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 435-439 
    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 derived for the effect of a total pressure gradient on flow and diffusion of a binary gas system in a fine capillary. The results apply over the pressure and pore radius regimes from Knudsen flow to Poiseuille flow.Application of the equations to a pure component leads to an expression for the permeability which predicts the observed minimum flow in the slip-flow region. This expression agrees well with Knudsen's data for carbon dioxide and for new measurements for nitrogen in a glass capillary (radius = 0.01244 cm.).
    Additional Material: 4 Ill.
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  • 22
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 450-452 
    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 matrix method is given for determining the nests of cycles of a directed graph. This has been applied to determining the recycle loops of a chemical process flow diagram.
    Additional Material: 8 Ill.
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  • 23
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 462-467 
    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 is presented of fully developed laminar flow in an eccentric annulus. An exact solution for the velocity distribution is presented. From this solution may be obtained expressions for local shear stress on the inner and outer surfaces of the annulus, friction factors based on the inner and outer surfaces, and the overall friction factor. Curves of these data are presented covering a range of eccentricity values and radius ratio values.
    Additional Material: 8 Ill.
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  • 24
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 467-473 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Normal stress and viscometric measurements were made on nine polymer solutions with cone-and-plate instruments. Temperature, concentration, molecular weight, and chemical structure were varied. Zero-shear viscosities, obtained by extrapolation of falling-sphere data, ranged from 0.7 to 380 poise.A brief description is given of a normal stress-measurement apparatus, incorporating fast-response strain gauge pressure transducers. Measurements were made at shear rates between 5 and 2,800 sec.-1, sometimes necessitating a considerable correction for inertial forces.Non-Newtonian viscosity, normal stress, recoverable shear strain, and elastic modulus are presented in terms of modified Ferry reduced variables.
    Additional Material: 9 Ill.
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  • 25
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 497-502 
    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 performance of a perfectly mixed photochemical reactor has been analyzed for systems having low light absorption coefficients. The analysis has been tested by an experimental study of the decomposition of hexachloroplatinic acid in dilute aqueous solution. Results tend to verify the analysis, but indicate the need for additional experimental work.
    Additional Material: 4 Ill.
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  • 26
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 513-520 
    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 catalyst particle size upon the reaction rate was studied for the hydrogenation of ethylene with nickel-on-alumina in a packed-bed flow reactor. A threefold increase in particle diameter through a critical size range (0.03- to 0.09-cm. diameter, corresponding to a Reynolds number of around 1) produced a thirtyfold increase in reaction rate per unit external surface area. The behavior of the system indicates that this increase was due to the influence of external gas-solid transport phenomena on the reaction kinetics. j-Factor correlations were used to calculate the catalyst surface temperatures and concentrations, which were used to calculate Arrhenius activation energies and reaction rates from available rate expressions.
    Additional Material: 6 Ill.
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  • 27
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 369-369 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 28
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 381-381 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 29
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 386-563 
    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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  • 30
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 563-563 
    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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  • 31
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 237-245 
    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 it is already known how to apply feedforward control to an overdetermined system (2), feedback control is more difficult because overdeterminancy involves more measured variables than controllers. Feedback control is possible for a system of production units separated by storage tanks holding intermediate products and perturbed by random external upsets (1). Two types of feedback control are studied: local control in which each manipulated variable is controlled by the levels in the two tanks immediately adjacent, and central control in which all the levels simultaneously affect each manipulated variable. The behavior of these systems for three-action linear controllers is described. Proportional local control is shown to have a structure similar to those of the unrefluxed countercurrent separation processes of the chemical industry. Such systems are therefore inherently stable. Central control, although requiring a more complicated equipment arrangement, actually has a simpler dynamic behavior because it cancels out interactions between controllers.
    Additional Material: 11 Ill.
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  • 32
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 11 (1965), S. 279-287 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An experimental study with fixed and fluidized beds in the isomerization of cyclopropane on a silica alumina catalyst is reported for a temperature range of 150° to 250°C. and of 5 to 150 W/F (g-catalyst, hr./g.-mole). The effects of various cylindrical screen packing, 0.2-, 0.4-, and 1.0-in. diameter, and 1.0-in. diameter pall ring, on final conversion were determined. Reactor scale effects were also considered with reactors of 0.9-, 1.8-, and 6.0-in. diameter and bed heights 1.8 to 11.0 in.Overall conversions were higher in a fluidized bed with packing than in a normal fluidized bed but were less than in a fixed bed, though approaching it in some cases. Rate data from the fixed bed closely followed first-order kinetics. When the same catalyst was tested in a normal fluidized bed, the rate was dependent on linear gas velocity and catalyst bed height. With packing present in the fluidized bed, this dependency was much less, but packing size and shape had some effect.Several previously proposed reactor models were considered for correlating the data.
    Additional Material: 12 Ill.
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  • 33
    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 a change in moles, due to reaction, on the effectiveness of a catalytic reaction is analyzed by calculating the concentration profile along a capillary whose wall surface acts as a catalyst and within a spherical, porous, catalyst pellet. The effectiveness factor E is influenced most when the diffusion is predominately of the bulk type and none at all for Knudsen diffusion. For an increase in moles, the diffusion of reactant into the pellet is suppressed because of the opposing pressure gradient. The result is a decrease in E.Application to a typical bidisperse catalyst pellet such as alumina indicates that the reduction in E due to an increase in moles is not likely to be large. The effect can be important only if the change in moles exceeds 1 or 2, and the pellet is of the low-density type with large macropores.In contrast the pressure gradient is large only when mass transfer is by the Knudsen process.
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  • 34
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    AIChE Journal 11 (1965), S. 457-461 
    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 vapor-liquid equilibrium experimental facility has been built for and operated on light gas-hydrocarbon systems. The range of operating conditions are 3 to 1,000 atm. and 25° to 400°C. A dynamic flow type of equilibrium cell is used. This and most of the other apparatus are from designs by Michels. Solubilities of hydrogen in benzene and in cyclohexane were obtained at 150° and 250°F. and at pressures up to 10,000 lb./sq.in.abs.Compositions of the equilibrium vapor phases were determined so the vapor-liquid K ratios could be derived. Thermodynamic consistency tests were applied to the data with the conclusion that the new data are consistent with volumetric properties, predicted by other methods.
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  • 35
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    AIChE Journal 11 (1965), S. 662-665 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Moore and Mesler postulated microlayer evaporation beneath a bubble to explain the sudden temperature drops observed by them during nucleate boiling of water.A method was devised to estimate the microlayer thickness from the deposit formed by a series of bubbles during nucleate boiling of saturated calcium sulfate solution containing radioactive sulfur-35. The results support the microlayer evaporation hypothesis.
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  • 36
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    AIChE Journal 11 (1965), S. 673-677 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A scheme is outlined which enables the calculation of the normal stress difference P11-P22 in fluids undergoing steady Poiseuille flow from measurements with a pitot tube of local velocity distributions. This new technique should enable measurements in a region of shear rate comparable to that encountered in the torsional and circular flow methods. A particularly interesting consequence of the method is it leads one to the inescapable conclusion that the presence of finite normal stresses should produce significant aberrations on the measurement of the velocity profile in the laminar flow of viscoelastic fluids. The presence of a P11-P22 induced aberration on the velocity profile measurement suggests that caution be exercised in the practice of deducing estimates of the thickness of a boundary layer in the nonlaminar flow of these fluids.
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  • 37
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    AIChE Journal 11 (1965), S. 690-695 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Sufficiently accurate values of first twenty eigenvalues, eigenfunctions Rn (1), and the coefficients for series expansion, as well as asymptotic expressions for these quantities, have been obtained for heat (or mass) transfer to fully developed laminar flow inside a round tube with uniform wall heat (or mass) flux. The first ten eigenfunctions are shown graphically for the radius range 0 ≤ r/ro ≤ 1.These quantities are used to calculate the Nusselt numbers for sinusoidal wall heat flux distribution and are compared with the corresponding slug flow Nusselt numbers.
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  • 38
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    AIChE Journal 11 (1965), S. 526-532 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A method has been developed for the calculation of the viscosity of nonpolar gas mixtures at moderate and elevated pressures from the molecular weights and critical constants of the components. By the use of available experimental data and appropriate pseudocritical constant rules, results obtained previously for the viscosity of pure gases have been extended to mixtures. Viscosity values calculated by the method developed in this study for a number of nonpolar gas mixtures were found to reproduce reported values with a high degree of accuracy.
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  • 39
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    AIChE Journal 11 (1965), S. 546-548 
    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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  • 40
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    AIChE Journal 11 (1965), S. 555-555 
    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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  • 41
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    AIChE Journal 11 (1965), S. 573-573 
    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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  • 42
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    AIChE Journal 11 (1965), S. 424-430 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Simultaneous population and mass balances have been solved together with a generalized form of nucleation-growth rate kinetics to obtain the form of crystal size distribution (CSD) for several idealized modes of crystallizer operation, including seed crystal removal, product classification, arbitrary solids concentration, and staged vessels. The effect of holding time and feed supersaturation on crystal size in a mixed suspension, mixed product removal (MSMPR) crystallizer was also studied. A representative CSD from an MSMPR crystallizer plus the relative kinetic order of nucleation to growth rate can be used to predict CSD from any of the above modes of operation.
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  • 43
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    AIChE Journal 11 (1965), S. 439-445 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Diffusion and flow rates through porous catalysts were measured under the conditions of finite pressure gradients for single- and two-component systems. For large pore (low density) alumina pellets the diffusion rate counter to the pressure gradient was severely depressed, while for small pore Vycor the pressure gradient had little effect.The equations developed in Part I for flow and diffusion in a single capillary were extended to porous catalysts. The resulting prediction methods contain no parameters which require transport data for their evaluation, but pore size and void fraction information is needed. For the catalysts investigated, both the permeability and diffusion rates varied several thousand-fold. The calculated results predict the same extensive range and show the same effects of pressure gradient and pore properties. Also the quantitative agreement between calculated and experimental results is such that the theory provides a useful method of predicting transport rates through certain types of porous media.
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  • 44
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    AIChE Journal 11 (1965), S. 650-656 
    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 coaxial cylindrical type of cell was designed and constructed for the measurement of the thermal conductivity of gases at high pressures and moderate temperatures. This cell was used to establish the thermal conductivity of nitrogen for pressures up to 4,625 lb./sq.in.abs. and for temperatures of 22.2° and 50.5°C. The resulting thermal conductivity values were found to be in agreement with values reported in the literature for nitrogen at these elevated pressures. These experimental measurements indicate that the cell developed for this investigation is capable of producing reliable thermal conductivities for gases at high pressures.
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  • 45
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    AIChE Journal 11 (1965), S. 666-673 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Very rapid, rapid, and slow second-order reactions were studied in an isothermal turbulent flow reactor. The two aqueous reactant solutions were separately introduced through many alternate jets and the reaction took place in the resulting nonhomogeneous mixture. Very rapid reactions were diffusion controlled and were in agreement with earlier theory. All reactions followed second-order rate laws based on time average quantities. The apparent reaction velocity constant was controlled by the mixing for very rapid reactions, by the chemical kinetics for slow reactions, and by both mechanisms for rapid reactions.
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  • 46
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    AIChE Journal 11 (1965), S. 487-491 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Recent studies on heat transfer in plate heat exchangers have pointed out the need for quantitative expressions for pressure drop in this type of apparatus. This paper presents the results of experimental studies to obtain pressure drop relationships useful in plate heater design.A plastic prototype of a commercial model (Chester-Jensen) exchanger was fabricated and used to obtain entrance, exit, crossover, ribbed section, and overall pressure drops as a function of velocity with water as the fluid. These individual losses were combined into an expression for overall pressure drop for a series plastic plate pack having any number of plates and employing any fluid.Overall pressure drop data on a commerical Chester-Jensen Model HTF plate heater were available from several heat transfer studies reported previously. The data for series patterns were resolved by inserting overall pressure drop, physical properties of the fluid, and number of plate passes into the general form of the equation derived for plastic plates and by solving for a new set of constants. The resulting computer-derived expression was found to predict series pressure drops in the apparatus to ± 10%.From a similar approach it was possible to correlate the overall pressure drop data for the heater for looped flow patterns.
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  • 47
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    AIChE Journal 11 (1965), S. 503-508 
    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 boiling characteristics of liquid neon and nitrogen in vertical annuli ranging between 0.006 and 0.080 in. wide were studied. The centre tube wall, submerged to various depths, formed the boiling surface. Observations suggested a convective heat transfer mechanism, and correlation by a Dittus-Boelter equation form proved successful.
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  • 48
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    AIChE Journal 11 (1965), S. 520-525 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The effect of free stream turbulence level on forced convection through laminar and turbulent boundary layers on a flat was studied in a wind tunnel with a small but nonzero favorable pressure gradient by means of the naphthalene sublimation technique.With the small favorable pressure gradient used in this study, the rate of forced convection through laminar boundary layers agreed with Polhausen's theoretical equation for turbulence levels less than 2.8% but increased in a regular fashion for turbulence levels greater than 2.8% and was almost tripled at a free stream turbulence level of 11%. There was no evidence of an interaction between pressure gradient and turbulence level which would produce disproportionate effects on the rate of forced convection through laminar boundary layers. Substantially no effect of turbulence level on forced convection through turbulent boundary layers was observed for turbulence levels up to 7%.
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  • 49
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    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The concept of local isotropy in turbulent agitation together with the particular characteristics of volatile drops evaporating while in dispersion were used to derive a simple and practical correlation relating the specific power input with the temperature driving force and the heat flow rates for all conceivable mixing regimes. The correlation was verified by experiments which indicate that dilute evaporating dispersions are controlled by viscous shear stresses.The generality of the proposed correlation is demonstrated by its application to pilot plant and laboratory data obtained over a wide range of turbulent mixing intensities. At its lower limit the correlation reduces to the well-known relationship of surface-boiling heat transfer.
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  • 50
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    AIChE Journal 11 (1965), S. 548-550 
    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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  • 51
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    AIChE Journal 11 (1965), S. 557-560 
    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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  • 52
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    AIChE Journal 11 (1965), S. 562-572 
    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: 5 Ill.
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  • 53
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    AIChE Journal 11 (1965), S. 746-755 
    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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  • 54
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    AIChE Journal 11 (1965), S. 749-763 
    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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  • 55
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    AIChE Journal 11 (1965), S. 754-767 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 56
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    AIChE Journal 11 (1965) 
    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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  • 57
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    AIChE Journal 11 (1965), S. 780-784 
    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 technique of testing the validity of phase equilibria by applying thermodynamic consistency tests is highly developed for vapor-liquid equilibria. The application to solid-liquid equilibria, howerver, has been developed very little. The problems associated with thermodynamic consistency tests are discussed and a new technique for evaluating the validity of experimental data has been developed. Several possible test equations are presented and are applied to test the consistency of three sets of solid-liquid equilibrium data.
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  • 58
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    AIChE Journal 11 (1965), S. 962-1156 
    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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  • 59
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    AIChE Journal 11 (1965), S. 636-643 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Hydrogenation rates of ethylene on a copper-magnesium oxide catalyst were measured for fine catalyst particles and ½ in. spherical pellets from 60° to 160°C. Experimental effectiveness factors for this exothermic reaction system ranged from 0.2 to 25, depending upon the temperature and density of the catalyst pellets. The activation energy for the particles was 11,800 cal./g. mole (above 120°C.), while E for the pellets decreased to zero at high temperatures. Reasons for this behavior are discussed.The effective thermal conductivity of the catalyst pellets was measured as a function of density and the effective diffusivity was estimated from pore size and pore volume measurements. In principle this information and the rate data for the particles are sufficient to predict effectiveness factors for the pellets. However available prediction methods are based upon first or second order rate equations which do not fit the ethylene hydrogenation reaction.
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  • 60
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    AIChE Journal 11 (1965), S. 617-624 
    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 laboratory studies have demonstrated that the injection of small quantities of reverse-wetting agents during water displacement can increase oil recovery from unconsolidated porous media. Hexylamine is a suitable reverse-wetting agent. It has been found that the effectiveness of this treatment increases with the quantity of amine injected (slug volume and/or amine concentration in the slug), and that treatments sufficient to stimulate oil production at high water flow rates did not do so at low flow rates. It has been established that the stimulation of oil production by this technique is accomplished by transient adhesion-tension alterations, resulting in the spontaneous accumulation of oil into large continuous masses which are subsequently mobilized.The present investigation has attempted to investigate the effect of other variables thought to be important in this system in order to clarify the mechanism by which increased oil recovery is effected. Specifically, the mechanism by which large oil masses are formed and propagated was studied.Displacement studies conducted in a glass-grid micromodel, under cinemicrographic observation, revealed that large oil masses form as a consequence of restoration of water wettability (amine desorption) but only if the local oil saturation exceeds the irreducible minimum value (under water-wet conditions). Mobilization of these oil masses was observed under the influence of a favorable wettability gradient.Displacement studies were also performed in unconsolidated silica sand beds, under conditions of varying oil-water viscosity ratio, hydraulic permeability, flow rate, and time at which the amine was injected. In the range of the variables investigated, the additional oil recovered (by treatment) increased as the viscosity ratio increased oil recovery. Water-oil displacement efficiencies enhanced by amine treatment were found to correlate satisfactorily with a parameter representing the ratio of the hydraulic forces to the capillary forces within the medium.
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  • 61
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    AIChE Journal 11 (1965), S. 656-661 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A theoretical and experimental investigation has been made to determine the effect of the concentration level on the rate of mass transfer of a solute from a nontransfering or inert carrier gas in turbulent flow.Diffusion theory predicts the gas phase mass transfer coefficient to be inversely proportional to the first power of the mean mole fraction of the nontransferring gas and to be a possible function of the rate and direction of mass transfer.The results of an experimental study of the absorption of ammonia from mixtures with nitrogen into distilled water and aqueous ammonia solutions in a short wetted-wall column verified the predicted inverse relationship between the turbulent gas phase absorption coefficient and the first power of the mean inert mole fractions ranging from 0.068 to 0.934. The data also showed that for the range covered in this investigation there was no significant influence of the mass transfer rate on the product of the coefficient and the mean mole fraction of the inert carrier gas.
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  • 62
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    AIChE Journal 11 (1965), S. 1041-1050 
    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 analysis and design of gas flow reactors are customarily based on a plug flow model. Because of transverse concentration and temperature gradients, however, kinetic constants and reactor lengths based on the plug flow model may be in gross error. This paper presents an approximate method of analysis which accounts for the effects of these gradients. We examine a gas in laminar flow which supports a first-order irreversible reaction. Compressibility effects are considered, and the diffusion fluxes are calculated with the full ternary diffusion equations. Instead of solving exactly the full equations of change which describe this system, the well-known Pohlhausen technique is adapted and approximate solutions which satisfy the integral forms of these equations are sought. This reduces the problem to the solution of a set of ordinary differential equations, which are integrated numerically. The main result is a set of graphs giving correction factors to be applied to plug flow kinetic constants and reactor lengths. Although primary interest is in hydrocarbon pyrolysis systems, the integral method graphs are applicable to other reaction systems.
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  • 63
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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 mathematical relation for the retention volume for elution chromatography has been extended to include the case of a multicomponent elution gas mixture in which all the components are adsorbed appreciably on the adsorbent. The total adsorption, component adsorption, and the K values or the ratio of the gas-phase concentration to the adsorbed-phase concentration for each component are related to the retention volume for the components as measured by a technique which distinguishes the molecules in the elution gas from those in the perturbing sample. Radioactively traced hydrocarbons are used in the application to obtain the retention volumes appropriate for the theory.The relations derived were applied in studying the adsorption of methane-propane mixtures on silica gel up to a pressure of 1,000 lb./sq. in. abs. The internal consistency of the propane adsorption data with the propane infinite dilution data and the methane data with the pure methane adsorption data obtained by a gravimetric method is demonstrated.
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  • 64
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    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A description is given of a dynamic vapor-liquid equilibrium apparatus in which both phases are recirculated by vane pumps especially designed for high-pressure service. Equilibrium phase compositions as well as vapor and liquid molar volumes up to the critical pressure are reported for the two binary systems nitrogen-carbon dioxide and oxygen-carbon dioxide and for the ternary.
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  • 65
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    AIChE Journal 11 (1965), S. 1103-1108 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: o-Xylene vapor in nitrogen was partially oxidized by bubbling it through a melt of the 39 wt. % vanadium pentoxide-potassium sulfate eutectic at temperatures from 528° to 598°C. The principal product was o-tolualdehyde; some benzene and traces of phthalide were formed but no organic acids. These products are similar to those found in o-xylene oxidation over a solid vanadium oxide catalyst, except for the absence of acid products but are far different from the product distribution found from homogeneous oxidation with air. The rate of reaction per unit of gas-melt interface was approximately equal to that reported for oxidation of o-xylene in air on an unsupported fused vanadium oxide catalyst. With o-xylene-air mixtures bubbled through either a vanadium pentoxide-potassium sulfate eutectic melt or vanadium pentoxide-potassium pyrosulfate melt, homogeneous reaction obscured any contribution from heterogeneous processes.
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    AIChE Journal 11 (1965), S. 1124-1132 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Flow regimes occurring during evaporation of Freon-12 (dichlorodifluoromethane) and Freon-22 (monochlorodifluoromethane) inside five tubes were investigated. Two flow models are proposed, one each for vertical and horizontal tube orientation. The limits of each flow regime were determined and heat transfer correlations obtained. The most significant flow regimes were found to be nucleate boiling, annular flow, and mist flow. A correlation for the transition between annular flow and mist flow was obtained.
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  • 67
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    AIChE Journal 11 (1965), S. 1137-1138 
    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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  • 68
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    AIChE Journal 11 (1965), S. 1142-1142 
    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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  • 69
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    AIChE Journal 11 (1965), S. 1143-1145 
    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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  • 70
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    AIChE Journal 11 (1965), S. 1157-1157 
    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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  • 71
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    AIChE Journal 11 (1965), S. 1051-1057 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Conventional data generation and analysis procedures used to select a descriptive Hougen-Watson reaction rate model have been reviewed and some statistical objections to these conventional procedures have been presented. In an attempt to assess the practical importance of these objections, a recently published example was analyzed with both conventional techniques and nonlinear least squares procedures, which more closely conform to theoretical weighting requirements. Comparisons were made between the results of the conventional linear least squares analysis of isothermal data and those of nonlinear least squares analyses of both isothermal and nonisothermal data. It was found that the nonlinear least squares procedures were useful for a rational selection of an acceptable model and estimation of its parameters.General observations were made concerning good regions for further experimentation if a discrimination among rival models is desired. Additional well-designed experiments were found to be necessary to allow a reduction of the confidence region of the parameters of the Hougen-Watson models to an acceptable size.
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  • 72
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    AIChE Journal 11 (1965), S. 1073-1081 
    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 and experimental study was made of the evaporation from pure and saline water films flowing down a heated vertical surface at Reynolds numbers between 160 and 600. Visual observation showed free surface evaporation. Film continuity was poor for pure water, but good for saline water, because of the influence of temperature and salinity on surface tension gradients. Evaporation rates were predicted by (1) a constant-property boundary-layer type of laminar analysis; (2) the constant-property Dukler “eddy” treatment; and (3) a variable property laminar analysis that took into account the boiling point elevation due to salinity. The experimental evaporation rates could be correlated by dimensionless moduli arising out of the laminar analyses, but best quantitative agreement was found with the Dukler eddy treatment.
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  • 73
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    AIChE Journal 11 (1965), S. 1097-1102 
    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 is applied to high-pressure vapor-liquid equilibria in binary and multicomponent mixtures containing one or more noncondensable components. A thermodynamic consistency test is described, and a modification of van Laar's model is given for representing adjusted activity coefficients in binary and multicomponent liquid solutions up to the critical composition. With only experimental data used on the two binaries at 0°C., vapor-liquid equilibria are calculated for the carbon dioxide-nitrogen-oxygen ternary at high pressures. Brief reference is made to the possibility of air separation by high-pressure absorption in liquid carbon dioxide.
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  • 74
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    AIChE Journal 11 (1965), S. 1108-1113 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Eddy mass diffusivities as a function of radial position for different Reynolds numbers have been determined for air flowing countercurrently to water in a wetted-wall column. The ratios of the eddy mass diffusivity to the eddy viscosity also were determined. The wetted-wall column was constructed from Pyrex glass with an I.D. of 2.75 in. and a wetted section 39 in. in length. An approach section was constructed from the same material and of adequate length to insure full development of the velocity profile. The gas phase Reynolds numbers varied from 3,200 to 54,300. The liquid phase flow was laminar. The concentration and velocity profiles of the air stream were measured experimentally and bulk temperatures of all streams were obtained. A probe was developed to measure the concentration profiles. The probe consisted of platinum wires wrapped in a helix around a glass capillary tube on which a thin layer of lithium chloride in polyvinyl alcohol had been deposited. The resistance of the probe was a reliable indication of the water vapor concentration in the air stream. The probe was calibrated and used for all concentration measurements. Eddy mass diffusivities were evaluated from a solution of the steady state mass diffusion equation by means of a digital computer with experimental velocity and concentration profiles. Qualitatively, the eddy diffusivity profiles are similar to those which have been obtained for heat and momentum transfer. When these profiles are used with the diffusion expression, they are capable of accurate evaluation of the concentration profile. The ratio of the eddy mass diffusivity to the eddy viscosity was determined and was found to be less than 1.0 over most of the cross section, but the ratio increased to values greater than 1.0 near the center and near the walls of the column.
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  • 75
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    AIChE Journal 11 (1965), S. 1114-1124 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A technique employing the impulse plate principle was developed whereby the ratio of the average vapor-to-liquid velocities (slip ratio) for flowing two-phase mixtures could be measured accurately at high vapor volume fractions. Data were collected for steam-water mixtures flowing adiabatically in a horizontal ½-in. tube. Flow conditions were in the spray annular and dispersed flow regimes and covered a pressure range of 30 to 80 lb.f/sq.in.abs., flow rates of 200 to 800 lb.m/(sec.)(sq.ft.), and steam qualities of 0.02 to 0.8. The experimental slip ratios, ranging between 1 and 3.5, decreased with increasing quality and pressure and increased with increasing mass velocity and pressure gradient.A theoretical analysis in which an idealized dispersed flow model was used indicated that the observed average slip ratios were caused largely by local slip between vapor and entrained droplets and that high local slip ratios may be attained near critical flow rates due to the simultaneously occurring steep pressure gradients.The total pressure gradients, computed by adding the Martinelli-Nelson frictional pressure drop prediction to the acceleration pressure gradients calculated by the use of an empirical correlation of the slip ratio data, deviated from the experimental values by an average of only 14%.
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  • 76
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    AIChE Journal 11 (1965), S. 1149-1151 
    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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  • 77
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    AIChE Journal 11 (1965), S. 1153-1155 
    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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  • 78
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    AIChE Journal 11 (1965), S. 1158-1158 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 79
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    AIChE Journal 11 (1965), S. 1019-1025 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Motion picture studies of condensation of isopentane bubbles rising in water elucidate the transfer mechanism involved in latent heat transport.In general, two characteristic regions are noted. In the first region, up to some 80% liquid content, the bubbles deform and oscillate and heat is transferred by turbulent convection. In the second region the rate of transfer is controlled by the resistance of the condensed liquid, and heat is mainly by conduction. The effect of temperature differences between the bubble and the continuous phase (up to 3.5°C.) on the transfer coefficients could not be isolated, whereas that of the initial diameter of the bubble was quite marked.The results are in agreement with those obtained in earlier studies of evaporating drops in immiscible liquids, indicating the similarity of the basic heat transfer mechanisms.
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  • 80
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    AIChE Journal 11 (1965), S. 1033-1041 
    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 solution of the two-dimensional Navier-Stokes equations is presented for the confined wake formed by the merging of two-plane Poiseuille flow streams. The system of finite-difference equations for the stream function and vorticity is solved by the Peaceman-Rachford elimination method for Reynolds numbers of 1, 50, 387, and 647. While the stability of the numerical method is not a problem for this range of Reynolds numbers, the number of points in the finite-difference network (and hence the computation time) does become burdensome.At high Reynolds numbers, the primary boundary-layer simplification is imposed to yield a set of parabolic equations for the vorticity and stream function. These equations are solved by a straightforward “marching” technique, thus providing a solution with a minimum of computational effort. The “boundary-layer equations” presented in this paper are not subject to the order to obtain the Prandtl boundary-layer equations. The method outlined here represents an approximate solution for high Reynolds numbers, which gives surprisingly good agreement with the complete solution.
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  • 81
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    AIChE Journal 11 (1965), S. 1058-1063 
    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 rapid, irreversible, second-order chemical reaction in the turbulent wake of a cylinder was studied. A hypothesis relating the correlation of the fluctuating concentrations directly to the mean concentrations of the reacting species was found applicable, at least, when tested for a pseudo first-order reaction system.Experimentally, the mean concentration profiles of a colored reactant were obtained with and without reaction by time-exposure photographs. Since the reactant changed from colored to colorless during reaction, the rate of reaction could be determined directly from the rate of color disappearance.Both the reaction rate and the turbulent intensity divided by the half-width of the wake were found to be inversely proportional to the distance from the source for x/d values from 35 to 180. This indicates a direct relationship between them. Consequently, the concentration correlation function also may be related directly to the turbulent intensity divided by the wake half-width.In addition, it is shown that the rate of reaction is faster in the center of the wake than it is toward the edges.
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  • 82
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    AIChE Journal 11 (1965), S. 2-177 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 83
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    AIChE Journal 11 (1965), S. 9-13 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 84
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    AIChE Journal 11 (1965), S. 18-25 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A theoretical model for interstitial liquid flow in a stationary or moving foam was devised by relating the physical structure of the foam to the physical properties of the surfactant and the foam movement. This was accomplished through a differential momentum balance within a typical capillary (Plateau border) of noncircular cross section with finite surface viscosity at its boundaries. Velocity profiles were then calculated and integrated numerically for the randomly oriented capillaries so as to obtain the overall liquid flow through the foam in terms of the pertinent variables. Results are presented in a form suitable for estimating concentrations and flow rates of product and waste streams in foam fractionation.
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    AIChE Journal 11 (1965), S. 34-40 
    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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  • 86
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    AIChE Journal 11 (1965), S. 155-158 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The reduced thermal pressure-temperature ratio has been used to relate residual viscosity modulus for argon, krypton, and xenon into a unique relationship applicable for the dense gaseous and liquid regions. For these monatomic substances the critical compressibility factor is zc = 0.291. Values of (∂PR/∂TR)pR vs. (μ  - μ*)ζ on log-log coordinates produced a linear relationship. For these simple substances, this relationship was used to predict viscosities with an average deviation of 3.0% for fifty eight experimental values. This relationship was also applied for the prediction of viscosities for nitrogen, oxygen and carbon dioxide.The approach developed in this study merits further examination with several additional substances. The lack of adequate thermal pressures in the dense gaseous and liquid regions of substances other than argon limits the use of this study to substances having critical compressibility factors zc = 0.291.
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  • 87
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    AIChE Journal 11 (1965), S. 175-192 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 88
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    AIChE Journal 11 (1965), S. 174-184 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 2 Ill.
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    AIChE Journal 11 (1965) 
    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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  • 90
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    AIChE Journal 11 (1965), S. 195-195 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 91
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    AIChE Journal 11 (1965), S. 207-212 
    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 finite difference technique is used to calculate the velocity profile, maximum shear stress, and friction factor-Reynolds number product for a power-law, pseudoplastic fluid flowing through a cylindrical duct of rectangular cross section. It is assumed that the motion is rectilinear. A very simple friction factor-Reynolds number correlation is obtained for the special case of a square duct.
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  • 92
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    AIChE Journal 11 (1965), S. 217-221 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Radial mixing of concentrated solutions of rubber dissolved in a light aliphatic hydrocarbon was studied in beds packed with glass spheres or York mats. The degree of mixing in the bed of spheres was significantly better, that is the Peclet number much smaller, than predicted from Wilhelm's correlation.Pressure drop associated with the flow of rubber cement through packed beds is well represented by existing correlations, provided the effective viscosity is obtained from a shear rate vs. shear stress diagram for the fluid.
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  • 93
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    AIChE Journal 11 (1965), S. 228-237 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Pseudocritical rules provide a means to determine reduced properties for mixtures so that pure component corresponding states correlations may be used to estimate mixture properties. The most common pseudocritical rules are examined and shown to stem from a common base. Points of divergence as well as similarity are pointed out in tracing out the development of the rules. Reduction of all rules to simpler forms is made and criteria attached to allow one to determine when such simplifications are justifiable. All rules reduce to Kay's rule in certain limiting cases.
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    AIChE Journal 11 (1965), S. 3-3 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 95
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    AIChE Journal 11 (1965), S. 177-179 
    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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    AIChE Journal 11 (1965), S. 5-8 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Frequencies and amplitudes of oscillations for nineteen pure systems were measured photographically. The period of oscillation was longer than that predicted by Lamb. The discrepancy was not due to wall effects, viscosity, or velocity of fall but to amplitude of oscillation. Modification of previous expressions included an amplitude function which could be experimental or empirical. Oscillations began near the peak velocity, and a vortex trail was necessary for them to take place. Oblate-prolate oscillations did not cause drop breakup, as all systems ceased to oscillate and wobbled randomly below maximum drop size. Oscillations do not decay with time.
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    AIChE Journal 11 (1965), S. 25-29 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Experimental results obtained over a wide range of variables from three different foam fractionation columns support the theory developed in Part I.
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    AIChE Journal 11 (1965), S. 46-54 
    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 behaviors of several diffusion coefficients are shown for the methane-n-butane system under conditions such that solutions are very nonideal and the concentrations of both components are significant. The coefficient proposed by Chapman and Cowling shows the least variation with state and is recommended for use under such conditions in hydrocarbon systems. Several other coefficients commonly used show large variations with state and coefficients using concentrations as a potential are even negative in certain regions.
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    AIChE Journal 11 (1965), S. 69-72 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: High intensity sound was investigates as a means for liquid breakup. Sonic generators provided energy to atomize liquid introduced near the sound source. Droplet size was measured at several conditions of air and liquid flow for sound intensities ranging up to 160 decibels.Atomization was good at low liquid flows but became rahter coarse as flow rate increased. The droplet size distributions were not uniform. No improvement in breakup could be attributed directly to the sonic compressions and rarefactions beyond that normally produced by the tearing action of air in conventional two-fluid atomizers at comparable air/liquid ratios.
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    AIChE Journal 11 (1965), S. 79-84 
    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 iron pentacarbonyl at pressures between one and 400 Torr was studied from 120° to 300°C. Up to about 200°C. the rate was primarily limited by surface kinetics of adsorbed carbonyl. Gas phase diffusional resistances were controlling at higher temperatures. In the kinetically controlled region the deposition rate was correlated by a Langmuir type of equation. Corrections for diffusion resistances in the kinetic region and kinetic resistances in the diffusion region were found to be appreciable.
    Additional Material: 9 Ill.
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