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  • General Chemistry  (1,942)
  • Analytical Chemistry and Spectroscopy  (817)
  • Chemical Engineering  (724)
  • Wiley-Blackwell  (3,483)
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  • 1980-1984
  • 1970-1974  (3,483)
  • 1950-1954
  • 1973  (1,762)
  • 1972  (1,721)
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  • Wiley-Blackwell  (3,483)
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  • 1980-1984
  • 1970-1974  (3,483)
  • 1950-1954
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  • 1
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 18 (1972), S. 221-222 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 2
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    AIChE Journal 18 (1972), S. 238-240 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 3
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    AIChE Journal 18 (1972), S. 249-250 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 4
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    AIChE Journal 18 (1972), S. 254-255 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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  • 5
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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  • 6
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    AIChE Journal 18 (1972), S. 255-255 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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  • 7
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    AIChE Journal 18 (1972), S. 256-256 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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  • 8
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    AIChE Journal 18 (1972), S. 257-269 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 9
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    AIChE Journal 18 (1972), S. 277-282 
    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 temperature on the reaction rate of grouped species which are consumed by parallel nth order irreversible reactions is investigated. It is shown that when the activation energies of the individual reacting species is aboput equal the temperature effect can be described by an Arrhenius expression. However, when the activation energies of the various reactions are widely spread the Arrhenius dependence may not be adequate unless one assumes that the activation energy of the lump may be temperature and conversion dependent. Unter these conditions the Arrhenius temperature dependence is at best a rough approximation and it is very important to define exactly the experimental method of determining the activation energy. Widely different activation energies for the pseudocomponent may be obtained from different experimental techniques which yield the same value for a single reactant.
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  • 10
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    AIChE Journal 18 (1972), S. 343-346 
    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 semi-empirical test for the thermodynamic consistency of isobaric liquid-vapor equilibrium data for ethanol-water saturated with a salt is proposed. The test is based upon an adaptation of the Herington method (1) in which the ternary system is treated as a special binary. The test is applied both to full concentration range data and to data which are incomplete at the high alcohol end. For data which are incomplete at the high water end, a less severe test is employed.Literature data for 23 systems composed of ethanol, water, and an inorganic salt at saturation were tested. By the criterion of the proposed test, fourteen were deemed consistent, six were borderline, and three were pronounced inconsistent.
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    AIChE Journal 18 (1972), S. 450-451 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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  • 12
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    AIChE Journal 18 (1972), S. 372-380 
    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 general equations of motion were solved numerically for the laminar isothermal flow of Newtonian fluids from a large tube of circular cross section through an abrupt contraction into a coaxial tube of smaller diameter and through the flow-development region of the smaller tube. The ratio of the diameter of the large tube to that of the smaller tube was varied from one to eight (the latter in one case). Solutions were obtained for the case where the larger tube is real, with no slip at the wall, and for the case where it is a frictionless “stream” tube. The results are presented as charts giving excess pressure losses attributable to contracted and developing flow in terms of equivalent smaller-tube diameters as functions of the tube-contraction ratio and the Reynolds number, which was varied from 0.01 to as high as 500 in one case. Both radial- and axial-velocity profiles are presented. The computed results are shown to be in satisfactory agreement with some experimental data. The results are presented in a manner convenient for use in the design of equipment in which contracted Newtonian flow occurs, such as fiber spinnerettes and heat exchangers, and in the analysis of experimental data for contracted flow.
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    AIChE Journal 18 (1972), S. 385-392 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Three kinetic rate constants and an initial enzyme concentration are estimated in Britton Chance's classical peroxidase model by applying both the Picard iteration-orthogonal polynomial and stationary state methods to his transient experimental data. Since this model does not describe the hysteresis exhibited by the data, more complex models are examined in order to account for this behavior. From a study of this hysteresis phenomena which is inherent to the structure of consecutive reactions, it is found that in addition to discriminating between mechanisms much useful information about the history of enzyme induction can be observed from the direction, shape, and area of the hysteresis loop.
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  • 14
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    AIChE Journal 18 (1972), S. 380-384 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A direct method is presented for determining both local and regional stability of systems described by nonlinear differential-difference equations. Prediction of stability is with respect to a general class of initial curves. The practical as well as the conservative nature of the procedure is demonstrated by a numerical example.
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  • 15
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    AIChE Journal 18 (1972), S. 409-416 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Conditions under which simplified, single parameter models may be used to predict breakthrough curves in linear, packed bed adsorbers and thermal regenerators are examined with reference, in particular, to earlier conditions proposed by Handley and Heggs and by Babcock and co-workers. It is found that for high values of heat capacity ratio the Schumann model provides a satisfactory description of packed bed dynamics where fluids axial dispersion and solids conduction effects are lumped into a single parameter the curve spread parameter σ*. For low values of heat capacity ratio, the equivalent conductivity model of Babcock and co-workers should provide a more accurate description. The value of the Biot number Bi was found to provide the sole criterion for estimating the relative importance of the internal solids conduction. Empirical correlations are presented which allow rapid estimates of breakthrough curves to be made from the curve spread parameter and which facilitate analysis of experimental data from breakthrough curve experiments.
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  • 16
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    AIChE Journal 18 (1972), S. 430-432 
    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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  • 17
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    AIChE Journal 18 (1972), S. 435-437 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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  • 18
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Unpredictable variations in the values of plant parameters around their nominal values are often encountered in actual operation of process plants. In order to assure that process performance meets specifications, it is preferable to design and control the process, taking into account the uncertainty in the values of the plant parameters. In this paper, a method to minimize the maximum decrease in the process performance caused by the hypothetical worst parameter variations is proposed. Necessary condition for the worst parameter variations is derived for a class of distributed parameter systems by means of the maximum principle, and then the method for obtaining the optimal design and control subject to the worst parameter variations are discussed. The method is applied to the design of a tubular reactor associated with catalyst activity decay. The reactor obtained is fairly insensitive to the variations in the process parameters while maintaining fairly good performance even at the nominal values of parameters.
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  • 19
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    AIChE Journal 18 (1972), S. 600-608 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A new method of instrumentation for normal-stress determinations was developed, making possible accurate unsteady state as well as steady state measurements, eliminating errors arising from fluid-filled pressure-tap holes, and permitting the determination of the complete stress state in a single cone-and-plate shearing-geometry experiment. Sensitive, nonflow semiconductor pressure transducers mounted at several radial positions with their pressuresensing diaphragms flush with the plate surface provide data for the normal-stress distribution. The normal-stress distribution, together with the total normal force from the single-geometry experiment, enables determination of the primary and secondary normal-stress differences by two independent methods of analysis while the transmitted torque enables determination of the viscosity, each as a function of shear rate. Only the normal-stress distribution is required if an independent check on the normal-stress determination is not desired. Similar advantages arise in the application of the instrumentation to a parallel-plate shearing geometry, The new instrumentation was used in the determination of the complete rheological stress state of three aqueous and two “Tetralin” solutions of polymers in a cone-and-plate shearing geometry shear rates of 0.02 to 450 s-1 on a Model R-17 Weissenberg Rheogoniometer. The normalstress differences computed by means of two methods of analysis are in surprisingly good agreement. The ratio of the secondary to the primary normal-stress difference was negative. The absolute values of this ratio decreased with increases in the shear rate, the maximum observed value being 0.4.
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  • 20
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    AIChE Journal 18 (1972), S. 614-623 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Many industrial processes are difficult to control because product quality cannot be measured economically on line. One solution to this problem is to use secondary measurements in conjunction with a mathematical model of the process to estimate product quality. This paper presents a method for designing a static estimator which predicts product quality from a linear combination of process input and output measurements. The design method includes procedures for selecting a subset of the availble output measurements so as to obtain an estimator which is relatively insensitive to modeling errors and measurement noise. Application of the estimator to a simulated multicomponent distillation column shows that the composition control achieved with an estimator based on temperature, reflux, and steam flow measurements is comparable to that achieved with instantaneous composition measurements. The composition control using the estimator is far superior to the composition control achieved by attempting to maintain a constant temperature on any single stage of the column.
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    AIChE Journal 18 (1972), S. 724-728 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Rates of Counterdiffusion are markeldy affected not only by the critical molecular diameter of the diffusing molecules but also by other physicochemical properties of the liquids and the nature of the cation in the zeolite. The effective diffusivity in NaY or HY under counterdiffusion conditions is less by a factor of 10-1 to 10-3 than that for unidirectional diffusion into an initially empty pore structure.
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    AIChE Journal 18 (1972), S. 713-720 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Temperature and velocity profiles and pressure losses were computed for laminar, temperature-dependent Newtonian flow from a stream tube through an abrupt contraction into and through the entrance region of a smaller coaxial tube, in which the fluid was cooled or heated at constant wall temperature. The equations of motion and energy, including axial diffusion and viscous dissipation, were solved numerically for diameter ratios of one and two, a practical temperature range, and NPe and NRe up to 100. Entrance temperatures and velocities are far from uniform, and pressure losses are greater than those computed using simplified equations and uniform entrance temperatures and velocities.
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    AIChE Journal 18 (1972), S. 877-877 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 18 (1972), S. 879-880 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 18 (1972), S. 780-785 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A general algorithm for the computation of singular/bang-bang control, previously applied to linear systems, is extended to nonlinear systems. The minimum time control of a two-stage CSTR is demonstrated.
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    AIChE Journal 18 (1972), S. 812-816 
    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 experiments reported here show how diffusion rates in liquids can be increased by as much as an order of magnitude by use of coupled diffusion fluxes in mixed solvents. Solutes whose diffusion can be accelerated in this way include simple electrolytes, essential oils, dyes, and antibiotics. These increases are primarily caused by thermodynamic interactions and can be estimated from solubilities.
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    AIChE Journal 18 (1972), S. 928-934 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Mass transfer into dilute polymeric solutions was studied by using a short wetted-wall column. Oxygen was absorbed into thin films of water and aqueous polymeric solutions. The polymer systems studied included dilute solutions of carboxymethylcellulose, polyethylene oxide, Carbopol, and Cyanamer. All of the above systems were moderately non-Newtonian with power law indexes less than unity. Methocel (a Newtonian fluid with a power law index of one) was also studied. The flow of liquid films was well within the laminar flow regime.The rheological properties of these solutions as well as equilibrium solubility of oxygen in these solutions were determined. In all of the polymer systems studied except Polyox the equilibrium so ubility of oxygen decreased with an increase in polymer concentration. In Polyox solutions, however, the equilibrium solubility of oxygen increased with an increase in polymer concentration.For all of the systems investigated (including Polyox) the mass transfer coefficient for absorption of oxygen at a given flow rate decreased with an increase in polymer concentration. The mass transfer coefficient was highest for water at all flow rates.The diffusivity of oxygen in all of the systems considered except Polyox was lower than that in water. This was attributed to the increased viscosity of the polymeric solutions. The diffusivity of oxygen in Polyox solutions was higher than it was in water. This was found to be due to the complex chemical reactions which occur in this system. In all of the pseudoplastic systems studied the diffusivity of oxygen increased with increasing wall shear rate (decreasing viscosity).
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    AIChE Journal 18 (1972), S. 976-984 
    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 three methods of designing feedforward compensators which can be combined with multivariable feedback controllers in order to minimize or eliminate errors caused by sustained measurable disturbances. The designs are based on a linear, time-invariant state-space model of the process and minimize a quadratic function of the errors and/or constrain selected steady state offsets to zero. Simulated and experimental data from a computer controlled pilot-plant evaporator show that multivariable feedback-plus-feedforward control is relatively simple to implement, is practical, and gives excellent control.
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    AIChE Journal 18 (1972), S. i 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 18 (1972), S. 1107-1115 
    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 is a review of the state-of-the-art of rational and primarily quantitative approaches to the utilization of expert opinion in the inexact sciences, among which the engineering sciences must be included. Of primary concern is the decision-maker's utilization of one or more experts, and the criteria and scoring rules used to evaluate their performance. Also reviewed are certain game-theoretic strategies used by experts to maximize their own goal satisfaction. With this review, it is hoped that chemical engineers, when acting as decision-makers, will be able to utilize expert opinion more effectively and will better understand the function of experts when it is necessary for them to adopt such roles themselves.
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    AIChE Journal 18 (1972), S. 1133-1139 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A method for performing time-optimal control with only limited prior knowledge of specific process dynamics is described. The time constants of the process are identified during the transient period accompanying the desired set point change, and the valve switching times of the control algorithm are calculated based on these time constants. The adaptive features of this method make its use independent of process or operating variation. The effectiveness of the proposed control method was evaluated using digital simulation and experimental techniques. The experimental phase which involved random changes to the temperature set point of a batch reactor was carried out with the aid of an on-line digital computer.
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    AIChE Journal 18 (1972), S. 1128-1132 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The one-dimensional model for convection with diffusion and with a source term for mass or energy generation or interchange is analyzed for the eigenvalues and the corresponding spatial eigenmodes as a function of the Peclet number. It is shown how the modal analysis of the source case, when the source coefficients for heat exchange and chemical reaction are spatially independent, is directly related to the no source solution. Numerical examples of determining the source term coefficient are included. These solutions form a base to discuss dynamic characteristics and stability and to which solutions for spatially dependent coefficients can be compared.
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    AIChE Journal 18 (1972), S. 1268-1271 
    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 18 (1972), S. 1277-1277 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 18 (1972), S. 1231-1238 
    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 nonisothermal unreacted-core-shrinking model with unsteady state heat transfer analysis has been experimentally evaluated. The system studied is the combustion of a single agglomerated carbon-fire clay sphere in a thermobalance. By comparing the experimental results with those predicted by the model, it is concluded that the model adequately describes the reaction system under the experimental conditions such that the ash layer diffusion is rate controlling.
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    AIChE Journal 19 (1973), S. 58-67 
    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 model for porous media comprised of monosized, or nearly monosized grains, is developed. In applying this model to a packed bed, the bed is assumed to consist of a series of statistically identical unit bed elements each of which in turn consists of a number of unit cells connected in parallel. Each unit cell resembles a piece of constricted tube with dimensions which are random variables. The problem of flow through each unit cell is reduced, subject to reasonable assumptions, to the determination of the flow in an infinitely long periodically constricted tube. The solution of this flow problem is given in a companion publication. This model, together with the solution of the flow through it, can be used for the modeling of processes which take place in the void space of a bed.As a preliminary test, theoretical friction factor values, based on the proposed model, were compared with experimental ones for two different beds and found to be in good agreement even in the region of high Reynolds numbers where the nonlinear inertia terms are significant.
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    AIChE Journal 19 (1973), S. 94-101 
    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 study was carried out on the effects of mixing on radiation-induced polymerization in which the species initiating the polymerization were not uniformly produced because of a nonuniform dose rate distribution. The analysis is based on the periodic irradiation of fluid elements circulating in a stirred-tank reactor having a high dose rate region and a very low dose rate region. It is shown that the rate of polymerization increases with agitation speed and that the bimodal molecular weight distribution of the polymer formed at low agitation speed moves to a unimodal distribution as the agitation speed increases.
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    AIChE Journal 19 (1973), S. 145-151 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: Liquid-vapor phase equilibria measurements were made at 112.00 K on the binary systems nitrogen-argon, nitrogen-methane, and argon-methane and the ternary system nitrogen-argon-methane. Values of gE, the excess Gibbs free energy, have been calculated from the experimental data for all the systems studied. The data and derived gE values for the binary systems were compared with the results of previous investigations with satisfactory agreement.
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    AIChE Journal 19 (1973), S. 167-173 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: A generalized equation of state is developed by combinin a hard-sphere equation with a truncated virial equation and generalizing the reduced hard-sphere diameter as a function of reduced temperature and acentric factor. The new equation quantitatively agrees with Pitzer's table of compressibility factor over wide ranges of gas and vapor states and is always better than the truncated virial equation. Since the terms in the equation are physically meaningful it is capable of being improved systematically by including higher virial coefficients and by using hard-core equations of state for nonspherical cores. The equation is extended to mixtures with well-developed combination rules.
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    AIChE Journal 19 (1973), S. 183-185 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 19 (1973), S. 112-119 
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    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A geometric model for an homogeneous and isotropic porous medium composed of spherical particles is proposed. This model requires a minimum of geometric simplifications and lends itself to the study of hydrodynamic as well as diffusive flow processes, permitting in each application a mathematically rigorous and fully predictive analysis leading to mathematical representations of the respective flow parameters.This particular investigation seeks to evaluate, and to provide physical insight into, diffusive flow processes occurring within an homogeneous swarm of spherical particles.
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    AIChE Journal 19 (1973), S. 371-372 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 19 (1973), S. 379-381 
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    AIChE Journal 19 (1973), S. 335-343 
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    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Structured design systems are systems which may be represented by generally nonlinear equality and inequality constraints, each of which contains few of the variables in the system. Assuming the existence of an automatic capabity to derive and modify as needed effective solution procedures for sets of structured equality constraints, a two-step strategy for optimizing design systems is presented in the form of two algorithms. An earlier paper presented an algorithm for locating a first feasible point, and this paper presents a companion algorithm based on the strategy known as restriction to optimize the system once feasible.This companion algorithm divides the set of inequality constraints into three sets: the set of those currently being held as equality constraints, the set currently released but being used as search coordinates, and the set of all remaining constraints which are not currently part of the problem. Solution procedures are modified as inequality constraints and are moved from one set to another. Added constraints in the set being held tend to aid the optimization process by reducing the dimension of search space for what is usually a marginal added burden in solving an enlarged set of (structured) equations.The strategy has proved remarkably effective on three relatively simple examples, including a nonlinear 31 constraint, 10 variable alkylation problem.
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    AIChE Journal 19 (1973), S. 356-364 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: Models are developed to describe sintering of metal crystallites during heat treatment. The growth rate of such crystallites is assumed to depend upon particle migration over the surface of the support as well as on the rate the colliding particles merge (sinter) into a single unit. The theory predicts that the rate of decay of exposed metal surface area S is given as in Equation (1a). The exponent n is related to the assumed size dependence of the diffusion coefficients or of the rate constant of the merging process. It varies from 4 to 8 for diffusion controlled decay and it is less than 3 for sintering controlled decay, that is, when the rate controlling step is the merging of two colliding particles. Diffusion control is associated with strong interactions between the metal and the support, but in sintering control there is a weaker metal-support interaction.
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    AIChE Journal 19 (1973), S. 373-375 
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    AIChE Journal 19 (1973), S. 382-384 
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    AIChE Journal 19 (1973), S. 395-398 
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    AIChE Journal 19 (1973), S. 403-407 
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    AIChE Journal 19 (1973), S. 412-413 
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    AIChE Journal 19 (1973), S. 414-414 
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    AIChE Journal 19 (1973), S. 540-546 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
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    Notes: The isothermal compressibility (at constant composition x) kT,x, was calculated in the neighborhood of the critical locus for seven mixtures containing 3.5 to 19.6 mole % heptane and analyzed in terms of the reduced pressure variable σ = (P - P̂)/P̂ where P̂ is the pressure at which kT,x becomes very large. The data can be represented by the equation kT,x = const. σ-λ along the critical isotherm and one near it and by the locus P̂(T). λ was found to be a strong function of x. The divergence of the isothermal compressibility of the mixtures near the critical locus is in conflict with predictions from classical equations of state but in accordance with modern concepts of the critical region.
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    AIChE Journal 19 (1973), S. 546-551 
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    Notes: The extension of the Enskog theory by Tham and Gubbins for the calculation of diffusivities is applied to the prediction of infinite dilution diffusion coefficients in binary organic systems. The resulting expression is a function only of the size and mass of the diffusing species. Excellent agreement is obtained for nonassociating n-alkane mixtures as well as for associated systems. Extension of the expression to alcohol and aqueous systems is shown to require Only an empirical correction factor. It is also shown that the quantity Dij∞ ηj Mj/ρjT is independent of temperature for all systems.
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    AIChE Journal 19 (1973), S. 566-574 
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    Keywords: Chemistry ; Chemical Engineering
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    Notes: Techniques are developed for using the structural information contained in algebraic equation sets to aid in the study of convergence properties of iterative equation loops.The concept of inverse mapping is applied directly in order to study convergence properties of sequences. For problems in which there exist both a direct and inverse path for the computation of iterative loops, direct substitution techniques will converge via one path and diverge via the other path. When an inverse path existed, the direct substitution method was superior to simultaneous solution techniques for the problems studied. Not all iterative loops have an inverse path. For problems in which inverse paths do not originally exist, rearrangement of the equations of an iterative loop can result in a modified loop for which an inverse path does exist. The digraph representation of an iterative loop aids in deciding whether rearrangements are feasible for a particular problem. When inverse paths cannot conveniently be obtained, direct substitution cannot be successfully used and simultaneous solution techniques such as quasi-linearization are recommended.
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    AIChE Journal 19 (1973), S. 602-608 
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    Notes: Particle size measurements of chromium hydrous oxide sols using electron microscopy and light scattering techniques were in excellent agreement. Comparison was based on the most probable diameter and width of the distribution. The normal, lognormal, and zero-order logarithmic density functions provided good first-order approximations to the particle size measurements. The chromium hydrous sols were less than 0.5 μm in size.A closed wet cell specimen holder in an electron microscope was developed to observe, in situ, the chromium hydrous oxide sols. The colloidal particles had a uniform spherical shape with a narrow size distribution. Observation of the particle formation process in the closed wet cell qualitatively supports the mechanism that basic polymeric sulfates act as embryos in the formation of these particles.
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    AIChE Journal 19 (1973), S. 628-635 
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    Notes: The effect on the liquid-phase effective diffusivity in fine pores of the ratio of solute molecular diameter to pore diameter and of preferential solute adsorption was studied by measurements on homogeneous silicaalumina bead catalyst (pore diameter = 3.2 nm). A proposed empirical correlation is based on the investigation of a variety of binary systems of paraffins and aromatic hydrocarbons and of aqueous solutions of sugars.
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    AIChE Journal 19 (1973), S. 640-644 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 19 (1973), S. 652-655 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 19 (1973), S. 387-389 
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    Notes: Gas-liquid chromatography is used to measure polymer-solvent interactions in polymer solutions where the solvent is at infinite dilution. Experimental data are presented for 24 binary polymer-solvent systems in the temperature range 50° to 150°C. A simple relation exists between the experimental retention volume data and the infinite dilution volatility; this volatility can be used to calculate the solvent vapor pressure over the polymer solution up to about 0.1 weight fraction solvent. Using concepts from the Prigogine-Flory theory of polymer solutions, Flory-Huggins X parameters for some polymer-hydrocarbon systems were correlated with the hydrocarbon's normal boiling temperature.
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    AIChE Journal 19 (1973), S. 736-741 
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    Notes: Cyclic Polyethers acting as mobile carriers in facilitated transport can cause changes of as much as three orders of magnitude in the fluxes of various cations across liquid membranes. The cyclic polyether dibenzo-18-crown-6 (2,3,11,12-dibenzo-1,4,7,10,13,16-hexaoxacyclooctadeca-2,11-diene) was used in this work to achieve such a large selectivity. The results show that a primary factor leading to the selectivity is the ratio of unsolvated cation radius to polyether central ring radius. The implication is that by selecting a polyether with a desired central ring radius, any two cations of slightly different radius can be separated efficiently.
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    AIChE Journal 19 (1973), S. 673-683 
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    AIChE Journal 19 (1973), S. 445-452 
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    Notes: Atactic polystyrene was molded at pressures up to 3000 atmospheres, and the effects of this pressure history were studied by permeability measurements using helium, neon, and argon as probe molecules. The permeabilities were significantly reduced by molding at higher pressures. The diffusion coefficients decreased monotonically with molding pressure, reflecting more extensive interchain cohesion. In contrast, the solubility coefficients showed a broad minimum around a molding pressure of 1000 atm, indicating that changes in local order were induced by higher pressures. These changes were shown to affect permeation, mechanical characteristics, and other properties. An optimum molding pressure somewhat below 1000 atm is indicated for polystyrene.
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    AIChE Journal 19 (1973), S. 486-497 
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    Notes: The Marker-and-Cell numerical technique has been adapted to develop a method of solution for three-dimensional, unconfined, isothermal flow of a highly viscous, Newtonian fluid in a region bounded by two, nonparallel traveling surfaces. Results are reported only for plane and elliptical surfaces, but the analysis is general enough to handle any shape of interest.A computer program was developed which can be used to generate and plot the flow and pressure fields. Numerical results were obtained for the special case of symmetrically opposed convergent surfaces for a wide range of conditions.
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    AIChE Journal 19 (1973), S. 517-521 
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    Notes: Filter equations for linear delay systems with continuous-time dynamics and discrete-time measurements are derived by separating the estimation problem into prediction between measurements and updating at a measurement. The result is the analog of the well-known Kalman filter for the nondelay case. A computational technique for implementing the filter is indicated and illustrated by an example of a scalar system with a delay in the dynamics as well as measurement.
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    AIChE Journal 19 (1973), S. 533-540 
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    Notes: Molar volumes were measured and partial molar volumes were calculated in the supercritical region, including the vicinity of the critical locus, lor compositions of 1.8 to 20 mole % n-heptane. Molar volumes can he represented, to a reasonable approximation, by the Flory-OrwollVrij (FOV) reduced equation of state. A better fit of the data is possible if the three exponents in the FOV equation are adjusted The irodified FOV equation or the Redlich-Kwong equation, with parameters idjusted to fit the critical locus, can in general represent the partial molar rolumcs adequately along the critical locus only. The prediction of the imposition-dependence of the partial molar volumes is only qualitatively successful at best.
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    AIChE Journal 19 (1973), S. 934-942 
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    Notes: An algorithm that combines structural equation analysis with algebraic rearrangement and substitution has been developed to precedence-order algebraic chemical process equations. The SWS (Structural Analysis with Substitutions) algorithm selects an output variable for each equation, rearranges the equation to solve for that variable, and reduces the number of equations by substitution. The algorithm has been used for computer generation of Fortran programs to perform meterial and energy balances in the design of chemical processes.
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    AIChE Journal 19 (1973), S. 658-659 
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    AIChE Journal 19 (1973), S. 666-667 
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    AIChE Journal 19 (1973), S. 671-671 
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    AIChE Journal 19 (1973), S. 698-703 
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    Notes: The diffusion coefficients D of n-hexane and of naphthalene in a series of hydrocarbon liquids with viscosities μ from 5 · 10-4 to 5 kg m-1 sec-1 (0.5 to 5000 centipoise) have been measured at 25°C with a one Savart plate wavefront-shearing interferometer. This apparatus allows direct determinations at effectively infinite dilution. The values obtained suggest that for a small solute diffusing in a large solvent \documentclass{article}\pagestyle{empty}\begin{document}$$ \begin{array}{*{20}c} {D\mu ^{2/3} } & = & {{\rm constant}} \\ \end{array} $$\end{document} a result consistent with earlier studies. The exponent of 2/3 may be rationalized on the basis of the Eyring rate theory.
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    AIChE Journal 19 (1973), S. 729-735 
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    Notes: Liquid molar volumes and excess volumes have been experimentally determined for some methane-rich binary and ternary mixtures containing ethane, propane, isobutane, and nitrogen between 91 and 115 K. A gas expansion type system calibrated against pure methane densities was used to make the necessary pure fluid and mixture measurements.The best of the available density correlations predicts the experimental methane-ethane molar volumes within ±0.2%, while larger systematic deviations are found for the methane-propane and methane-isobutane systems. Molar volumes for methane-nitrogen and ternary mixtures containing nitrogen diverge strongly from the correlation predictions at 108 K and higher temperatures. An empirical scheme is proposed for predicting molar volumes of methane-rich liquefied natural gases using reported methane-ethane and methane-nitrogen excess volumes. This method predicts all binary and ternary molar volumes from this investigation within ±0.1%.
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    AIChE Journal 19 (1973), S. 753-759 
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    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Multicomponent vapor condensation in the presence of noncondensing gas has been analyzed using numerical solutions to a set of linearized rate equations that describe the simultaneous heat and mass transfer to the condensate film. For specific examples of methanol and water and ethanol and toluene condensing from turbulent air streams in vertical tube and on horizontal tube condensers, it is shown that the alcohol concentrations in both the liquid and gas phases increase as condensation from initially superheated, alcohol-rich gas phases progresses; the liquid phases also become richer in alcohol. The mass fluxes of the vapors vary with their respective mass transfer coefficients and local concentration driving forces. In the vertical tube condensers, the flux of the alcohols go through maximums. Gas phase saturation is approached as the mixtures cool and the final traces of vapor become more difficult to condense. Interface properties are computed from limited VL equilibrium data, heat of solution data, and a predictive equation. The techniques of solution and analysis have general application to the design of cooler-condensers in either vertical or horizontal configurations.
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    AIChE Journal 18 (1972) 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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    AIChE Journal 18 (1972), S. i 
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    AIChE Journal 18 (1972), S. 1-12 
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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 review article surveys representative literature on enzyme kinetics and engineering published form January 1969 to August 1971. Particlar attention is given to methods of attaching enzymes to solid supports, and to factors, such as pH and temperature, which affect the reaction rate. Recent theories accounting for the high selectivity and high rate of enzyme reactions, calculations taking into consideration the effects of diffusion, methods for analysing kinitic data, and proposals for enzyme reactors are evaluated. Also reviewed are recent methods for extraction of enzymes from cells, procedures for synthesizing enzymes artificailly, and techniques for isolating and purifying enzymes.
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    AIChE Journal 19 (1973), S. 1284-1285 
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    AIChE Journal 19 (1973), S. 1247-1249 
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    AIChE Journal 19 (1973), S. 1258-1259 
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    AIChE Journal 19 (1973), S. 1254-1257 
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    AIChE Journal 19 (1973), S. 1263-1265 
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    AIChE Journal 19 (1973), S. 1283-1283 
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    AIChE Journal 19 (1973), S. 1060-1061 
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    AIChE Journal 19 (1973), S. 1070-1072 
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    AIChE Journal 18 (1972), S. 116-121 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: In order to investigate the possibilities of pressure-hole errors in the measurement of wall normal stresses in the flow of polymer melts, a 2.280-in. long slit die has been designed, having a slot with a rectangular cross section, 0.050 in. by 1.000 in. Three transducers were mounted on each of the two long sides of the rectangular slot along the longitudinal center line of the die and located so that each transducer was directly opposite another in the opposite side. The three transducers on one side were flush mounted. Those on the other side were mounted through pressure-holes with different diameters (0.017, 0.034, and 0.050 in.) Measurements of wall normal stresse were made with high density polyethylene and polypropylene melts at 200°C., following the experimental procedure described in the author's earlier papers. The present study indicates that pressure measurements made through pressureholes are essentially the same as those made flush-mounted instruments, and that there are no pressure hole errors in the measurements of wall normal stresses, insofar as polymer melts are concerned.
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    AIChE Journal 19 (1973), S. 1196-1204 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Quasi-elastic light scattering techniques have been employed to measure the mutual diffusion coefficient DAB as a function of concentration in eight binary mixtures and the thermal diffusivity x in nine pure liquids and two binary mixtures. The mass diffusivities obtained are typically accurate to 3% while thermal diffusivities are known to be accurate to 5%; both types of values are in substantial agreement with the available bulk values. Under most circumstances light scattering is found to offer distinct advantages over the standard techniques for determining mass and thermal diffusivities.
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    AIChE Journal 19 (1973), S. 1244-1246 
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    AIChE Journal 19 (1973), S. 1252-1254 
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    Keywords: Chemistry ; Chemical Engineering
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    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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    AIChE Journal 19 (1973), S. 1262-1263 
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    Keywords: Chemistry ; Chemical Engineering
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    AIChE Journal 18 (1972), S. 194-200 
    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 point source turbulent diffusion of a gaseous tracer in the core of a circular straight porous pipe with uniform transverse flow at the walls is presented. Time averaged concentration distributions were measured at four distances downstream from a point source located at the axis of a fully developed turbulent flow of air in a 6-in. pipe. Experiments were run at average velocities between 4.36 and 23.0 ft./sec. (corresponding to Reynolds numbers 12,000 to 66,000) with injection velocities ranging from 0 to 0.170 ft./sec. and suction velocities from 0 to 0.048 ft./sec. The highest injection rate corresponded to 58% by volume of the main stream. Good agreement is obtained between the expeimental and the calculated concentration profiles.The present study shows that the plume width of the disperising tracer is considerably affected by the transverse flow. It also shows that the eddy diffusivity in the pipe core and the radial mass flux increase with fluid injection and decrease with suction through the pipe walls. Also, for increasing values of aspect ratio, they increase in the case of injection and decrease in the case of fluid suction.
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    AIChE Journal 18 (1972), S. 654-656 
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    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 18 (1972), S. 671-671 
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    AIChE Journal 18 (1972), S. 856-858 
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    AIChE Journal 18 (1972), S. 875-876 
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    AIChE Journal 18 (1972), S. 877-878 
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