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  • 1955-1959  (583)
  • Chemical Engineering  (583)
  • Nuclear reactions
  • Engineering General
  • 101
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 367-372 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: After an extensive literature survey the experimental thermal-conductivity data for twelve diatomic gases were utilized to produce an accurate and expedient means of predicting values over extensive ranges of temperature and pressure. Plotting values of k* against TR on logarithmic coordinates produced similarities pointing to the existence of corresponding states behavior for this family of substances with the exception of hydrogen. Because hydrogen cannot be included in a correlation generalized for the diatomic gases, it has been eliminated from this study. Based on atmospheric pressure data, ratios of k*/k*Tc produced a unique relationship with reduced temperature. To include the effect of pressure, residual thermal conductivities were correlated with density for nitrogen and oxygen, the only substances for which high-pressure data exist. These relationships enabled the determination of the thermal conductivity at the critical point. When the value kc = 8.55 × 10-5 cal./sec. cm. °K. for nitrogen was used, au extensive reduced thermal-conductivity correlation was constructed against reduced temperature for parameters of constant reduced pressure. This chart, extending to reduced pressures of 100 and to reduced temperatures of 85, is recommended for the diatomic gases in their gaseous and liquid states.The developed correlation reproduces experimental nitrogen data to within 1.39%. For the other diatomic gases experimental agreement extends from 1.00 to 3.20%. Such agreement indicates that this correlation is more reliable for the diatomic gases than are other generalized plots presented in the literature.
    Additional Material: 6 Ill.
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  • 102
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 394-396 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Fixed-bed kinetic studies were made for Fe+++  -  H+ exchange, with perchlorate as the anion, covering concentrations from 0.5 N to 2.0 N in total cation, flow rates of 5 ml./min. sq. cm. to 45 ml./min. sq. cm. bed depth of 25 to 60 cm., and average resin particle diameters of 0.28 and 0.56 mm. The results are correlated on the assumption of internal diffusion as the rate-controlling step and an essentially irreversible equilibrium.
    Additional Material: 5 Ill.
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  • 103
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 397-402 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: In connection with a study of the mechanism of gas absorption the problem arose of predicting absorption rates into laminar liquid jets. A solution to the problem is presented in this paper, which provides an example of the application of fluid dynamics to the analysis of mass transfer in a complex flow system.The water jets considered here issued from circular nozzles of about 1.5-mm diameter, flowed intact downward through an atmosphere of solute gas at average velocities of from 75 to 550 cm./sec. over distances of 1 to 15 cm., and were collected in a receiver slightly larger in diameter than the nozzles. Equations describing the liquid flow near the jet surface are deduced from measurements of jet diameter and analogy to related flow situations. When one uses these equations, absorption rates are predicted from unsteady state diffusion theory with the assumption of interfacial equilibrium. The predicted rates for carbon dioxide at 25°C are in close agreement with experimental determinations over the observed range of contact time of the liquid with gas, namely 0.003 to 0.04 sec.
    Additional Material: 6 Ill.
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  • 104
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    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 7S 
    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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  • 105
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 524-532 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: This paper illustrates the use of analytical methods for the design of a flow-control system. Linearized equations are derived and a complete analysis is made of the control of the system. The effect of controller modes and process time constants is investigated. The calculations show that there is an optimum value of the process time constant for optimum response.
    Additional Material: 17 Ill.
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  • 106
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 436-439 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The current understanding of the macroscopic (bulk) properties of polar substances in terms of molecular theory, or the correlation of them in terms of corresponding-states principles is summarized.
    Additional Material: 2 Ill.
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  • 107
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 446-452 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An open type of reciprocating-plate extraction column was developed, and it is proposed that the scaling up of such a column should be straightforward; that is, the height of an equivalent theoretical stage (H.E.T.S.) and the throughput per unit area should be independent of the diameter of the column.Plates having 5/8-in.-diameter holes and 62.8% free space were selected to minimize the resistance to countercurrent flow in the column. With this design low H.E.T.S. values were achieved at throughputs much higher than those reported for other columns. Thus for two systems the present column was shown to require the lowest volume of column to accomplish a given extraction job. Data were obtained in a 3-in.-diameter column on two systems, methyl isobutyl ketone-acetic acid-water and o-xylene-acetic acid-water. Throughputs studied on the first system ranged from 547 to 1,837 gal./hr./sq. ft., and the corresponding minimum H.E.T.S. values achieved were 4.3 and 7.5 in. respectively. For the second system minimum H.E.T.S. values of 7.7 and 9.1 in. were attained at throughputs of 424 and 804 gal./hr./sq. ft. respectively.Extraction column design procedures are discussed. The fabrication of the reciprocating-plate column is relatively simple, and this should encourage its use first in pilot-scale sizes and ultimately in large-scale columns.
    Additional Material: 12 Ill.
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  • 108
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 483-485 
    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 brief review is presented of the theoretical solution obtained by the authors to the problem of a rapid second-order reaction in the incompressible laminar boundary layer on a flat plate. An experimental system is described for investigating reactions of this type, specifically the dissolution of plates and cylinders of benzoic and cinnamic acids in aqueous solutions of sodium and potassium hydroxide. Experimental data are reported in terms of a reaction factor, that is the ratio of the transfer rate with reaction to that in the absence of reaction. The reaction factor is independent of position. The theory closely predicts the reaction factor for cylinders as well as for flat plates. Data obtained by other investigators for packed beds can also be correlated although less successfully.
    Additional Material: 7 Ill.
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  • 109
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 502-505 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Pure liquids were evaporated in a wetted-wall column into flowing streams of air to investigate the thickness and transfer resistance of gas films.It was found necessary to express Reynolds number relative to the liquid surface to correlate transfer with gas flow.Laminar and buffer layers in the gas phase were calculated from fluid-flow principles and compared to the effective film thickness calculated from mass transfer and molecular diffusivity. Good agreement was obtained, indicating applicability of fluid mechanics to mass transfer problems.Eddy diffusivity was indicated to have a negligible effect upon the total resistance to transfer. Consequently it might be concluded that in packed towers where distances in the turbulent phase are shorter transfer between phases depends almost entirely upon molecular diffusivity.
    Additional Material: 4 Ill.
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  • 110
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 539-544 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A study has been made of the reaction rates of mixtures of hydrogen and nitrogen to form ammonia over a doubly promoted iron catalyst at 400° and 450°C. and at pressures up to 1,000 atm. In this work particular care has been taken to obtain data representing the true kinetics of the reaction. The reactor used was essentially isothermal, and the effects of diffusion have been reduced to a minimum. The results have been correlated by the use of the mechanism proposed by Temkin and Pyschev (19) with moderate success.
    Additional Material: 14 Ill.
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  • 111
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959) 
    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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  • 112
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 10-16 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Values of equilibrium composition for the hydration of ethylene to form ethanol have been calculated for a series of elevated pressures and temperatures by using equilibrium data available from previous low-pressure studies. To obtain satisfactory agreement between these values and those measured experimentally, it is essential (1) to take into account the formation of ethyl ether and (2) to use available vapor-liquid equilibrium data for the binary ethanol-water system at elevated temperatures, instead of the standard “mixture rules” often employed.Thermochemical data and low-pressure equilibrium data for both the ethylene hydration and ether formation reactions are critically reviewed. Experimentally measured values for the equilibrium concentrations of ethanol and ether in the liquid phase at 221°C. and 273 atm., with dilute sulfuric acid used as catalyst in a lined rocking-bomb reactor, are presented.
    Additional Material: 2 Ill.
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  • 113
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 29-30 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Although a considerable amount of work has been done on the compressibility of n-hexane, it has been impossible until now to compare or evaluate the work of the various investigators. There has also been a serious lack of information in the region above the critical temperature. It is the purpose of this work to make an extensive study of temperatures of 240° to 300°C. and of pressures up to 225 atm. in order to provide the lacking information and to overlap with the work of other investigators so that a proper evaluation of their work may be made.
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  • 114
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 178-181 
    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 coefficients from 1/2-in. spheres of benzoic and cinnamic acids and 2-napthol to water were measured in the high Reynolds number region of 600 to 140,000. Previous data for liquids extended only to a Reynolds number of 11,000. Three separate and approximately parallel lines of JD vs. Reynolds number were found for the different solutes, and the shape of the curves was found to be similar to the total-drag-coefficient correlation for spheres.Experiments with benzoic acid and 2-napthol showed an effect of driving force and hence flux on the JD values. Mass transfer did occur in saturated solutions having zero driving force. When one subtracted the amount of mass transfer at zero driving force from the values at other driving forces, the corrected JD values at different driving forces were the same for a given solute. Possible explanations may be the effect of extreme turbulence on crystallization or physical attrition.
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  • 115
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 212-222 
    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: 10 Ill.
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  • 116
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 209-212 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: This paper describes general methods for the treatment of binary data which are both precise and convenient. In particular a new and accurate graphical method of determining partial molal quantities is presented.
    Additional Material: 7 Ill.
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  • 117
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 240-244 
    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 present investigation is concerned with the dynamic characteristics of a 12-in. diameter continuous agitated-tank reactor vessel. Response of the vessel effiuent temperature to a change in coolant flow rate through an internal cooling surface is the subject of theoretical and experimental study. Experimental data were obtained through the use of frequency and transient response techniques. Studies were made for the passage of vessel-charge fluids with widely differing physical properties. Also data were taken for various conditions of fluid turbulence both inside and outside the internal heat transfer coils. Experimental and theoretical results are graphically compared. Recommendations are presented for the development of theoretical dynamic relationships.
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  • 118
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 263-267 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The flow characteristics of dense solid-gas mixtures transported through horizontal pipes were studied with glass beads and coal powders of various sizes (0.0028 to 0.0297 in.) in 1/2-, 3/4- and 1-in. glass pipes and a 1/4-in. steel pipe. Fluidized-bed feeders were utilized, thus permitting solid-gas ratios considerably higher (range 80 to 750) than those possible with conventional pneumatic transport. When such high solid-gas ratios are used, the flow of mixtures in transport lines is characterized by a large amount of slippage between gas and solids. The flow pattern is dicussed on the basis of visual observation through glass pipes.A simple and interesting velocity relationship was noted, namely that the average gas velocity is about twice as large as the average solid-particle velocity. The solid-particle velocities and solid loadings in the pipe line were found to be primary factors affecting pressure drops, and the particle sizes and shapes, on the other hand, exerted a very slight effect on the pressure drops. This is apparently due to the fact that the solids move predominantly in the bottom of the pipes as agglomerated masses rather than as individually suspended particles. A pressure-drop correlation for the dense solid-gas mixtures is proposed, and applications and limitations of the correlation are shown.
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  • 119
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 270-271 
    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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  • 120
    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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  • 121
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 276-276 
    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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  • 122
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 290-294 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: In a determination of the effect of solute concentration on gas-phase mass transfer rates carbon tetrachloride was vaporized at three different concentration levels in a short 4.0-in.-diameter column packed with 0.5-in. Raschig rings.The experimental data indicate that previous mass transfer correlations should be modified to include a term (PBM/PT)2/3 and that the Schmidt number should be evaluated at average film conditions.The correlation found is suitable for predicting gas-phase mass transfer coefficients which can be combined with effective interfacial areas reported previously to obtain volumetric mass transfer coefficients for any gas-liquid-solute system.
    Additional Material: 10 Ill.
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  • 123
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959) 
    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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  • 124
    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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  • 125
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 285-289 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: In order to contribute to knowledge of the nature of the phase behavior of partially miscible liquid systems, a study of the benzene-water system was undertaken. The pressures at liquid- and vapor-phase boundaries of fifteen mixtures of benzene and water were determined within the temperature range of 200 to 357°C. Along with a complete numerical tabulation, these data are presented graphically as pressure-temperature, pressure-composition, and temperature-composition phase diagrams to show the nature of the boundaries.Up to the three-phase critical end point, the benzene-water system develops in a manner usually ascribed to a partially miscible system in which the vapor compositin at a point of univariance lies intermediate to the two liquid compositions. The three-phase critical end point occurs at 1,364 1b./sq. in. abs. and 268.3°C., and the composition of the critical phase is 25.8 weight % water, with the remaining liquid phase 92.8 weight % water.The pressure, temperature, and composition of the critical solution end point are deduced as 2,300 1b./sq. in. abs., 306.4°C., and 59 weight % water, respectively. At temperatures between these two critical points the phase behavior is likened to that of a dense gas or fluid dissolved in a liquid. Definite limiting values of temperature and pressure are assignable to this behavior by the extension of the three-phase curve up to the critical solution end point. This extended curve is not a phase boundary, but the temperature and pressure at a given point on the curve represents in a mixture of fixed composition the limit of mutual solubility of the benzene-rich fluid phase and the water-rich phase. At a temperature above or a pressure below the given point the liquid phase begins to vaporize.Above the critical solution end point the vapor-liquid phase boundaries are like those of a normal binary mixture.
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  • 126
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 379-384 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Mixtures of hydrochloric and phosphoric acids were extracted from aqueous solution by organic solvents in a study to advance the theories of solvent extraction.Four solvents, t-amyl alcohol, n-butanol, cyclohexanol, and 2-hydroxyethyl, n-hexyl ether, were found to give high distribution coefficients of 0.1 to 0.5 for both acids. In studies using the ether type of solvent an increase of the pH of the aqueous phase from 0 to 10 reduced the distribution ratio of phosphoric acid by a factor of 1,100.The substitution of hydriodic acid for hydrochloric caused a 42% increase in the K of phosphoric acid, which could indicate the importance of internal pressure of the additive in extraction. Measurements of activity coefficients of the hydrochloric acid in aqueous solution showed only a 1% increase in its activity coefficient with addition of large amounts of phosphoric acid. This could not be sufficient to cause up to a 40% increase in the distribution coefficient of the hydrochloric acid with the addition of the phosphoric acid.
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  • 127
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    AIChE Journal 5 (1959), S. 406-406 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 128
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    AIChE Journal 5 (1959), S. 407-407 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
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  • 129
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 8S 
    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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  • 130
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 5 (1959), S. 412-563 
    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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  • 131
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    AIChE Journal 5 (1959), S. 433-435 
    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 pipeline design, for which one needs a means of ascertaining whether the flow will be laminar or turbulent, the Reynolds number is the criterion for Newtonian fluids. The principal purpose of this study was to formulate a more general criterion to characterize the flow regime and to test this form in application to non-Newtonian fluids.Intuitive physical arguments suggested the use of a local stability parameter which is a function of the ratio of input energy to energy dissipation for an element of fluid. If the parameter is applied to a Newtonian fluid in laminar pipe flow, one finds that it has a maximum value of 0.385 times the critical Reynolds number, or 808. As the criterion is presumed to be general, it is inferred that the value of 808 defines the boundary between stable laminar and stable turbulent pipe flow for all fluids. The inference has been varified for several pseudoplastic fluids.
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  • 132
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    AIChE Journal 5 (1959), S. 453-457 
    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 differential type of flow reactor, 0.25-in. I.D., was used to study the kinetics of the hydrogenation of ethylene on an alumina-supported nickel catalyst. This is apparently the first investigation made above atmospheric pressures. Data were obtained from 14.7 to 70 1b./sq. in. abs. and feed compositions from 40 to 90 mole % hydrogen. Measurements at temperatures from 30° to 80°C. indicated an apparent activation energy of 11,600 cal./g.-mole.It was found that the activity of the catalytic surface was reduced by exposure to ethylene, or mixtures containing an excess of ethylene, owing to the formation of acetylene residues. Pretreatment of the catalyst at temperatures of 170°C. with mixtures of ethylene and hydrogen stabilized the catalyst so that reliable rate data could be obtained.The rate measurements at 70°C. were correlated by an equation. While the mechanism of the reaction cannot be determined from the data, the rate expression and other kinetic studies suggest a process in which hydrogen is adsorbed on the small fraction of the surface not occupied by acetylenic residues and the reaction takes place between this adsorbed hydrogen and ethylene in the gas phase.
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  • 133
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    AIChE Journal 5 (1959), S. 474-482 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Relationships are developed for establishing the most economic values of the major variables of a liquid-extraction process, including the concentrations of solute in recycled solvent and rejected raffinate, the solvent-to-feed ratio, and for mixer-settlers certain of the design features. Consideration is given to costs of extraction and solvent recovery, as well as to the value of unextracted solute and lost solvent. For the design of mixer settlers scale-up relationships are developed to permit prediction of the stage efficiency of a large extractor from experimental data taken on a small scale. These are expressed in terms of a scale-up index relating the relative size of the mixer with the volumetric rates of liquid flow. It is shown that the cost of multistage extractor increases with scale up in a different fashion from the stage efficiency, depending upon the scale-up index used. A detailed study of the costs for a typical case led to the development of economic scale-up indexes which, because they cover nearly a fivefold ratio of fixed to operating costs, are of fairly general utility. The common practice of scaling up with equal holding times on the large and small scale is shown to be amply safe from the point of view of stage efficiency to be realized on the large scale but usually uneconomic.Simplification of the complete system of equations permits rapid estimation of the most economic circumstances for any type of countercurrent extractor of which the cost per stage is proportional to Qg.
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  • 134
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    AIChE Journal 5 (1959), S. 496-501 
    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 vapor-phase reaction between ethylene oxide and water to form glycols has been carried out under a wide range of conditions with particles of polystyrene-sulfonic acid ion exchange resins used as catalysts. The rates observed appeared to be directly proportional to the product of the partial pressure of ethylene oxide and the amount of water sorbed by the resin. By use of the Brunauer, Emmett, and Teller equation to describe the amount of water sorbed by the resin, the experimental data were correlated over a sixty-fold range of reaction rates with a mean deviation of 15%.To obtain data of value in elucidating reaction mechanisms, the reactor was usually run under “differential” conditions, that is low conversions. However in a few runs conversions of as high as 54% were obtained for a contact time of 0.02 sec. The ratio of ethylene glycol to higher glycols (selectivity) obtained varied between 73 and 99% but was usually above 80% under conditions of high conversion. However it could also be reduced forcibly to produce higher glycols as the major product, if desired.
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  • 135
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    AIChE Journal 5 (1959), S. 514-523 
    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 origin of interfacial turbulence, spontaneous agitation of the interface between two unequilibrated liquids, has been explained in terms of classical flow, diffusion, and surface processes. The essence of the explanation is the long-known though much neglected Marangoni effect, wherein movement in an interface is caused by longitudinal variations of interfacial tension. It is proposed that interfacial turbulence is a manifestation of hydrodynamic instability, which is touched off by ever present, small, random fluctuations about the interface.A simplified mathematical model has been analyzed in order to detail the mechanism of the “interfacial engine” which supplies the mechanical energy of interfacial turbulence. In its present form the analysis incorporates several drastic simplifications, though ways of removing some of these have been suggested. The groundwork has been laid for the more elaborate analyses that are needed for a decisive test of the theory.The analysis shows how some systems may be stable with solute transfer in one direction yet unstable with transfer in the opposite direction, a striking result. It also suggests that interfacial turbulence is usually promoted by (1) solute transfer out of the phase of higher viscosity, (2) solute transfer out of the phase in which its diffusivity is lower, (3) large differences in kinematic viscosity and solute diffusivity between the two phases, (4) steep concentration gradients near the interface, (5) interfacial tension highly sensitive to solute concentration, (6) low viscosities and diffusivities in both phases, (7) absence of surface-active agents, and (8) interfaces of large extent.That some of these effects have been observed in the laboratory lends credence to the theory.
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  • 136
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    AIChE Journal 5 (1959), S. 5D-5D 
    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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  • 137
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    AIChE Journal 4 (1958), S. 24-26 
    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 for the incomplete displacement of gas from the valley between two parallel ridges by a liquid-drop front advancing over the ridges are calculated. The significant parameters are found to be the liquid density, surface tension, contact angle, and geometry of the ridges. The solution may be obtained analytically or, more conveniently, graphically. Surface roughnesses are divided into four classes, one of which can stably switch from liquid - to gas - fill, and another vice versa. This may account for some of the hysteresis effects reported in bubble nucleation. It is pointed out that surfaces consisting predominately of cavities are more likely to follow these considerations than grooved surfaces, owing to displacement of gas by advance of liquid along the grooves. An example important in boiling and cavitation theory is worked out, and qualitative agreement with the literature is shown.
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  • 138
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    AIChE Journal 4 (1958), S. 37-42 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Local rates of convective heat transfer from air at high temperature to a cold wall were measured in the inlet region of a circular tube. Air entered the tube with a flat velocity and temperature profile at temperatures from 480° to 2,000°F. and flow rates corresponding to Reynolds numbers from 4,500 to 22,500. The inner surface of the 1.0-in. I.D. tube was maintained at approximately 100°F. by water cooling. Local rates of heat transfer were determined at 1.5, 4, 7, and 10 tube diameters from the entrance by measuring the radial temperature profile in thermally isolated, annular sections of the tube wall.The local rate data for all gas temperatures are well represented by previous correlations for small temperature differences if the gas properties are evaluated at the bulk temperature rather than at the film temperature. The data agree well with the data of previous investigators wherever the experimental ranges overlap.
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  • 139
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    AIChE Journal 4 (1958), S. 43-48 
    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 data are reported for condensing Freon-114 (tetrafluorodichloroethane) and steam at several pressures. The condition of the vapors ranged from saturation to 180°F. of superheat. The condensing tube containing embedded thermocouples was 3/4 in. in diameter and 3 ft. long. Visual observation showed that steam condensed by dropwise condensation in part. Increase of superheat in the vapor at constant pressure caused a lowering of the tube-wall temperature, which was indicative of a lowering of the surface temperature of the condensate. The lowering of the condensate-surface temperature below the saturation temperature was computed from the experimental tube-wall temperatures, the heat flux, and Nusselt's equation for the condensate-film resistance. The lowering of the condensate-surface temperature is correlated with degree of superheat. An interfacial coefficient of heat transfer between the superheated vapor and the condensate surface is reported based on the computed surface temperatures. Schrage's analysis and equations for relating mass and heat transfer with conditions at an interface were simplified and used to correlated the experimental condensing load with the degree of superheat.
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  • 140
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    AIChE Journal 4 (1958), S. 63-68 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Heat and momentum transfer studies have been made for the flow of gases through fixed beds consisting of randomly packed, solid metallic particles. The experimental technique employed in these studies made possible for the first time the procurement of gas-film heat transfer data under steady state conditions and in the absence of mass transfer effects. Electric current passed through the metallic particles of the bed created within the particles a steady generation of heat, which was continuously removed by gases flowing through the bed. Several direct temperature measurements of both gases and solids within the bed made possible the direct calculation of the heat transfer coefficient for the gas film to produce the Colburn heat transfer factor jh, which has been found to correlate with the modified Reynolds number, Reh = √ ApG/[µ(1 - ∊)ϕ]. The shape factor ϕ was established in these studies for cubes and cylinders and was found to be identical to their respective sphericities.Pressure-drop measurements produced a friction factor fk of the Blake type, which yielded separate curves for each shape when correlated with the modified Reynolds number Rem. No simple relationship was found to exist between the heat transfer and friction factors. A single correlation of the pressure-drop data was obtained for the modulus fkoϕn when correlated with a Reynolds number of the type Rem = √ ApG/[µ(1 - ∊)]. The exponent n varies with the particle shape.Experimental runs have been carried out for 3/16, 1/4, 5/16-in. spheres, 1/4 and 3/8-in. cubes, and regular cylinders using hydrogen and carbon dioxide to extend the range of molecular weights beyond that of air, used for the majority of these runs. A particle-size, column-diameter effect was found to exist for both heat and momentum transfer. This effect becomes significant in the low Reynolds region.
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  • 141
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    AIChE Journal 4 (1958), S. 81-89 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: One of the important factors affecting the rate of heat transfer by natural convection is the temperature-density relationship of the convecting fluid. The importance of this factor is amplified when the heat is being transferred to a medium which has a maximum density.This investigation consisted of measuring the heat transfer rates, velocity gradients, and temperature profiles when heat is transferred from a flat vertical plate to water in the region of 4°C. In some experiments the flow in the boundary layer was observed to be downward while at other conditions of plate and fluid temperature a dual motion (both up and down) was noted, thus establishing a basic difference in the heat transfer mechanism and precluding a unified theory. Theoretical consideration is given to each mechanism and a criterion is derived to predict the flow regime which will prevail at fixed conditions of plate and bulk temperatures.An analogue computer was used to establish theoretical velocity and temperature profiles. The theoretical values agree reasonably well with the measured values; however, the experimental temperrature gradients near the wall were not sufficiently accurate to be extrapolated to determine a point heat transfer coefficent.
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  • 142
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    AIChE Journal 4 (1958), S. 114-124 
    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 from 3/8- and 1/2-in.-diameter spheres of adipic acid and from 3/8-, 1/2-, 5/8- and 3/4-in.-diameter spheres of benzoic acid into a controlled stream of water passing in laminar flow through a 3-in.-diameter pipe is found to be correlated by the single equaton NSh = 2 + 0.95 NRe0.5 NSc0.33 for sphere Reynolds numbers between 100 and 700. The limitations on the application of this equation, due to mass transfer by natural convection, are discussed. Correlations are also obtained for transfer from separate regions of the sphere surface.Skin-friction-drag coefficients for single fixed spheres have been calculated from reported pressure distributions for Reynolds numbers between 100 and 1,000.Good agreement is obtained between the mass transfer j factor and other reported values for heat transfer, but comparison with the calculated frictional forces indicates that the equality proposed by Colburn (3) does not hold, because the distributions of the mass transfer and the skin friction over the surface differ.
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  • 143
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    AIChE Journal 4 (1958), S. 6M 
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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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  • 144
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    AIChE Journal 4 (1958), S. 125-125 
    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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  • 145
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    AIChE Journal 4 (1958), S. 143-152 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: In this study a radioactive tracer technique was used to determine the kinetic reaction rate constants in the CO2—NaHCO3—Na2CO3—H2O system at temperatures of 32, 50, and 68°F., and at various values of pH ranging from 5.6 to 7.6. By operating with this system at chemical equilibrium but at isotopic disequilibrium, it was possible to divorce the influence of the diffusion of CO2 into and out of the aqueous solution from the kinetic effects of the chemical reaction. Radioactive carbon-14 in the form of CO2 was analyzed by means of the Bernstein-Ballentine technique in order to measure the rates of reaction.By this treatment, without using intricate equipment, reaction rate constants were computed from simple, integrated first-order equations. Results showed that values for the forward rate constant of the reaction CO2 + H2O ⇌ HCO3- + H+ agreed well with the values published by previous investigators. On the other hand, the forward rate constants of the reaction CO2 + OH- ⇌ HCO3- were about 100 times as large as previously reported values. This difference is believed due to the complete elimination of any mass transfer effects in this study. In addition, values for the rate constants of the reverse reactions were measured for the first time, and the calculated values of the equilibrium constants for the two reactions agreed within 6% on the average with those given by Harned and Owen. The technique used, with its variations, is expected to have numerous applications in the study of the kinetics of heterogeneous systems.
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  • 146
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    AIChE Journal 4 (1958), S. 157-160 
    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 were derived by Nusselt for condensation on a vertical bank of horizontal tubes employing several questionable assumptions. His theoretical results indicate that the average condensing coefficient for a tube in an n-tube vertical bank should be n-1/4 times the single-tube coefficient. An empirical modification for turbulence previously suggested by the present author changed the factor to n-1/6. To facilitate further experimental studies and design calculations, precise equations are developed for condensate loading for the different common tube layouts bounded by a circle. These equations use a generalized factor n-1/s where a value of s/4 〉 1.0 becomes an index of turbulence.
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  • 147
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    AIChE Journal 4 (1958), S. 202-207 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A method of calcuation is presented by which estmates may be made of the stage efficiency of continuously operated, agitated, baffled vessels used in mixer-settler extractors. The calculations are limited to cases where the agitatiing impeller is a flat-blade turbine, and do not include estimates of the entrance and exit effects. The method has been tested with all the available experimental data, which include three different sizes of vessels, systems, and impeller sizes, and a variety of operating conditions including speeds of agitation, rates of flow, and ratios of contacted liquids. Because of limitations of the author's knowledge, the calculations are necessarily approximate, but they nevertheless correctly indicate the nature of the variations in stage efficiency to be expected with all of the design and operating variables for which tests could be applied.
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  • 148
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    AIChE Journal 4 (1958), S. 197-201 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A mathematical treatment is developed on the basis that two concentric spheres can serve as the model for a random assemblage of spheres moving relative to a fluid. The inner sphere comprises one of the particles in the assemblage and the outer sphere consists of a fluid envelope with a “free surface.” The appropriate boundary conditions resulting from these assumptions enable a closed solution to be obtained satisfying the Stokes-Navier equations omitting inertia terms. This solution enables rate of sedimentation or alternatively pressure drop to be predicted as a function of fractional void volume.Comparison of the theory is made with other relationships and data reported in the literature. Of special interest is its close agreement with the well known Carman-Kozeny equation which has been widely used to correlate data on packed beds as well as sedimenting and fluidized systems of particles. This is remarkable in view of the fact that the force on each particle in a packed bed can be up to several hundred times that exerted on a single particle in an undistrubed medium.
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  • 149
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    AIChE Journal 4 (1958), S. 330-331 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Application of shape factors to problems of conductive heat flow eliminates the need for lengthy calculations by numerical approximation methods. Shape factors for several systems, determined bvy electrical analogues, are given in the accompanying article.
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  • 150
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    AIChE Journal 4 (1958), S. 346-350 
    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 deals with the dispersion of one immiscible liquid in another (water in kerosene) by means of an orifice mixer. The degree of mixing was determined by measuring the area per unit volume of the dispersed phase. The area was measured with a photoelectric device, which had been calibrated photographically. The interfacial area formed at high Reynolds numbers (10,000 to 45,000, based on the diameter of the orifice) was found to increase with increases in both the volume fraction of water in the water-kerosene mixture and the change in kinetic energy across the orifice. In addition, other aspects such as the rate of coalescence of the dispersed phase downstream from the orifice are treated.
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  • 151
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    AIChE Journal 4 (1958), S. 362-366 
    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 viscosity of acetone-water liquid solutions has been measured over the entire concentration range at temperatures from 20°C. to generally within 1° to 10°C. of the normal boiling point. A capillary suspended-level viscometer was used, and the authors estimate that the results are accurate to ±0.2%. Both kinematic and absolute viscosities are given, and the results have been extrapolated to the boiling point of the solutions. The calibration of the Cannon-Ubbelohde viscometer is discussed in detail.
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  • 152
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    AIChE Journal 4 (1958), S. 383-388 
    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 correlating equation for liquid-phase adsorption equilibria, including the effects of temperature and pore diameter, is presented, together with a derivation of the equation ascribing the equilibration process of physical adsorption to van der Waal's forces. The derivation is based on the effect of temperature and surface configuration on the concentration of adsorbate at the surface. The correlating equation was tested with experimental data for the benzene-cyclohexane-silica-gel system and the toluene-isooctane-silica-gel system. Temperatures ranged between 23.9° and 99°C. and the pore diameters between 20.7 and 149.5 Å.
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  • 153
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    AIChE Journal 4 (1958), S. 418-422 
    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.
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  • 154
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    AIChE Journal 4 (1958), S. 436-439 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A fundamental investigation of the departure from equilibrium in steady-state phase transitions has been made in terms of irreversible thermodynamics and absolute rate theory. The present status of the concept of accommodation coefficients was reviewed and hypotheses were advanced for the reconciliation of opposing viewpoints. Formulas for the magnitude of the departure from equilibrium were derived for single- and multicomponent systems. The deviation from equilibrium appeared to be small for ordinary rates of phase change, but interpretation of the available data was hampered by lack of a detailed molecular picture of the phase-change process.
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  • 155
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    AIChE Journal 4 (1958), S. 393-402 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The effect of fluid physical properties on the rates of convective heat transfer (or mass transfer) to Newtonian fluids flowing turbulently inside tubes has been studied extensively but never resolved for a wide range of variables. In the absence of precise experimental data the conflicting predictions of the many semitheoretical approaches developed during the last two decades have served to confuse rather than to clarify the basic question. To extend the range of the available data an experimental heat transfer study of the heretofore undefined region of high Prandtl number was performed. Fluid properties, determined experimentally, represented a variation in Prandtl number from 50 to 600.For final correlation all the available data for heat transfer with moderate temperature differences except those on liquid metals were considered. The effect of the Prandtl number for the range of the data (NPr of 0.50 to 600) was not well represented by any of the generally accepted theories or empirical equations, although a semitheoretical correlation was deduced from the data with Reichardt's general formulation of the analogy between heat and momentum transfer. The resulting equation fits all the available data with a standard deviation of 9.4%. The applicability of the correlation to turbulent mass transfer in tubes is demonstrated for Schmidt numbers up to 3,000.
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  • 156
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    AIChE Journal 4 (1958), S. 423-429 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Solutions of linearized Navier-Stokes equations have been developed for the motion of arbitrary two-dimensional waves occurring at any interface between the emulsion phase of a fluidized bed and the particle-free, fluid phase. In all cases for which the bed particles are denser than the fluidizing fluid the solutions showed that the lower interface of a bed always is unstable and the upper, stable. The quality of fluidization is suggested to be related at least in part to the rate of growth of surface waves, this rate depending upon physical properties of the system and length of the disturbing wave.
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  • 157
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    AIChE Journal 4 (1958), S. 472-479 
    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 means of calculating the rate of entrainment of solids from commercial-size continuously operating fluidized beds was developed from the combined results of a theoretical and an empirical approach which through different channels arrived at the same fundamental mechanism. The calculation method shows agreement with data obtained from an apparatus simulating flow characteristics in large-scale equipment and compares favorably with smaller scale tests reported in the literature at pressures up to 200 1b./sq. in. gauge.
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  • 158
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    AIChE Journal 4 (1958), S. 493-493 
    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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  • 159
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    AIChE Journal 4 (1958), S. 497-497 
    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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  • 160
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    AIChE Journal 4 (1958), S. 319-323 
    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 solution to the problem of heat transfer with simultaneous heat generation in viscous tubular flow is presented. The temperature profiles and heat transfer coefficients which are obtained apply to compressible as well as incompressible Newtonian and power-law non-Newtonian fluids with constant physical properties and to systems in which the heat generation is an arbitrary function of radius. An example of heat transfer with frictional heat generation in a non-Newtonian fluid is also presented, and the solution to the problem in which a fluid enters a tube in laminar flow with an arbitrary temperature profile is given, with a consideration of a first approximation to the case of heat transfer in a turbulent fluid in which heat is being generated.
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  • 161
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    AIChE Journal 4 (1958), S. 332-337 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An experimental study of local heat transfer coefficients in a baffled tubular heat exchanger for five baffle spacings and two tube spacings (23/16-in.-pitch, four-tube bundle, and 11/4-in.-pitch, fourteen-tube bundle) is reported. Shell-side air-flow rate was constant for all runs. The variation of the local heat transfer coefficient around the tubes and along the length of the tubes for each tube spacing and baffle spacing was investigated. Average shell-side heat transfer coefficients were evaluated from local values and were found to agree with average values reported in the literature. These average values varied with the six-tenths power of the mass velocity in the heat exchanger. The average Nusselt number and the pressure drop across the exchanger each increased at about the same rate as the number of baffles was increased from two to ten. The average heat transfer rate decreased with decreased tube spacing. This effect was evident from the local heat transfer coefficients, and it is explained on the basis of the mechanism of flow around tubes. An eddy flow zone was detected between the baffles. Average heat transfer rates in the eddy and crossflow zones were almost equal and were about 15% below the average rate in the longitudinal-flow zone. The variation of the average heat transfer coefficient along a tube definitely showed the effects of baffles. High coefficients occurred in the baffle holes and in the baffle windows.
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  • 162
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    AIChE Journal 4 (1958), S. 356-361 
    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 van der Waals' constants both a and b for hydrocarbons usually encountered, including the aliphatic, naphthenic, and aromatic types. With these constants critical temperatures and pressures can be calculated directly.Methods recently made available (12, 13, 14, 15) allow the calculation of these constants through the use of substitution values involving the replacement of hydrogen atoms by methyl groups in a definitely prescribed pattern. In this study van der Waals' constants are directly calculated from a consideration only of the molecular structure of the hydrocarbon. This approach has become possible through the assignment of group contributions to different types of carbon atoms, which can be combined in any manner to produce the van der Waals' constants representative of the molecular structure of the hydrocarbon.
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  • 163
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    AIChE Journal 4 (1958), S. 380-382 
    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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  • 164
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    AIChE Journal 4 (1958), S. 3-14 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A method is presented for predicting the effect of allowance for radiation exchange on the distribution of temperature and heat transfer within a furnace chamber. The system is divided into surface zones and gas zones, the number being dependent on the desired accuracy of the result. Direct-exchange factors are available for gas-gas, gas-surface, and surface-surface zone interchange. From these factors one can determine the net exchange factor for any zone pair, making due allowance for interaction with all other zones. The resultant factors are then fed into a set of energy balances, one on each zone, which by simultaneous solution permit a determination of the space distribution of gas and surface temperatures and the distribution of heat flux over the surfaces.
    Additional Material: 9 Ill.
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  • 165
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    AIChE Journal 4 (1958), S. 15-23 
    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 broad empirical study of nine independent sets of data on fluidized-bed heat transfer is presented, with correlation of the data in two groups. A wide range of the many variables is covered, and some data on commercial units are included. Data for external (i.e., walls of the fluidizing vessel) and internal (i.e., tubes in the bed) heat transfer surfaces are correlated graphically. The correlations indicate the importance of heat transport by the mobile particles and of unsteady state conduction in the gas.
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  • 166
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    AIChE Journal 4 (1958), S. 49-52 
    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, simple electric analogue model is demonstrated which gives solutions, accurate within ten %, to problems in nonsteady state flow of heat, diffusion, and flow of liquids in porous media. The analogue consists essentially of a sandwich of electrical conducting paper, polyethylene or polyester sheeting, and metal foil. One- or two-dimensional problems can be treated. This analogue provides a medium with distributed resistance and capacitance rather than the finite steps of conventional analogues; therefore two-dimensional problems of complex shape can easily be modeled. The analogue is pulsed by a square wave generator and the transient potential response is displayed on a cathode-ray oscilloscope.
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  • 167
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    AIChE Journal 4 (1958), S. 58-62 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Heat transfer measurements were made with vertical stainless steel bayonet tubes, 3/8 to 3/4 in. O.D., with lengths from 2.6 to 6.5 in. The heat source was steam. The boiling film ΔT ranged from 154° to 314°F. for three organic liquids and from 547° to 788°F. for nitrogen, all at 1 atm. No forced convection was used. Benzene, carbon tetrachloride, and nitrogen on the longer tubes had h values two or three times greater than predicted by the Bromley equation; however, the Reynolds numbers were found to exceed 2,000. Nitrogen on the 2.6-in. length obeyed the equation; the Reynolds numbers were less than 2,000, the flow was proved by photography to be turbulent and the h values were much higher than predicted for viscous flow. A correlation is given which fits all the data except for methanol. It shows that a vertical orientation is superior to the horizontal for liquids boiling outside tubes.
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  • 168
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    AIChE Journal 4 (1958), S. 69-74 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Steady state heat transfer experiments were carried out in a 4-in. I.D. transite tube packed with 3/8-, 1/4-, and 5/32-in. steel spheres. Heat was generated in the pellets by means of a high-frequency induction coil surrounding the test section. Average heat transfer coefficients between the bed of spheres and a stream of air passing through the bed were calculated for Reynolds numbers of from 200 to 10,400. To ensure the reproducibility of the data, the bed was repacked six times for each pellet size.A study of the effect of the tube-to-pellet-diameter ratio indicates that this effect is large for low values of the ratio, but much smaller for higher ratios. The results are presented both graphically and in terms of empirical equations. The analogies among heat, mass, and momentum transfer are discussed, and it was found that no simple relation between the heat transfer coefficient and the friction factor exists for packed beds with a gas as the fluid.An attempt is made to predict the heat transfer rates for packed beds from heat transfer data for single spheres and from pressure-drop measurements for the packed bed; however, the rates predicted from the pressure-drop measurements are somewhat lower than the experimental results.
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  • 169
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    AIChE Journal 4 (1958), S. 211-217 
    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 apparatus and procedures which were developed for the determination of the heterogeneous phase behavior of the methane-hydrogen sulfide system have been described in a previous paper (2). The apparatus and procedures were tested and employed at temperatures in the range of  - 300 to 300°F. and at pressures up to 2000 1b./sq. in. abs. The vapor-liquid, vapor-solid, liquid-vapor-solid, liquid-liquid-vapor and liquid-liquid-solid phase border curves were determined for six mixtures of methane and hydrogen sulfide. The phase compositions were determined at selected points along the three-phase univariant equilibrium lines. An invariant point (quadruple point) was found which involves the equilibrium of two liquid phases, a vapor phase, and a solid phase. These data are presented on P-T and T-X diagrams.The data contribute to the understanding of phase behavior of light hydrocarbons containing hydrogen sulfide.
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  • 170
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    AIChE Journal 4 (1958), S. 249-256 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The rate of absorption of nitrogen peroxide into water at 25° and 40°C. has been found to be a linear function of the concentration of nitrogen tetroxide in the gas phase and directly proportional to the interfacial partial pressure of the same species.The rate of absorption is independent of gas velocity over a range of ReG from 170 to 350. The results plotted as absorption rate divided by interfacial partial pressure of nitrogen tetroxide show no effect of liquid rate or contact time between gas and liquid over a tenfold range of contact time from 0.03 to 0.3 sec. This indicates that the rate-controlling step during nitrogen dioxide absorption into water is the rate of hydrolysis of nitrogen tetroxide.The absorption rate decreases with increasing temperature from 25° to 40°C., owing to the shift of the equilibrium in the gas phase away from the reacting species nitrogen tetroxide toward nitrogen dioxide and owing to the the decreased solubility of nitrogen tetroxide in water. The effect of these factors on absorption more than offsets the effect of the increase in reaction rate and higher diffusivity on absorption at 40°C.The reaction rate constant for the hydrolysis of nitrogen tetroxide has been determined and the solubility of dissolved but unreacted nitrogen tetroxide in equilibrium with gaseous nitrogen tetroxide has been found.
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  • 171
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    AIChE Journal 4 (1958), S. 263-265 
    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 unconventional behavior of equilibrium ratios and convergence pressures is illustrated for close-boiling systems with activity coefficients exceeding 1 throughout the two-phase region. Also presented is a correlation to predict convergence pressure, or the critical locus, of nonideal binary systems.
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  • 172
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    AIChE Journal 4 (1958), S. 273-281 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Interfacial area is an important variable in mass transfer operations. In liquid-liquid extraction systems, where interfacial area comprises drop surfaces, the area can be computed if drop sizes are known. This work presents a new correlation which predicts volumes of drops formed from single nozzles to within 20% throughout the range of nozzle flow rates for which uniform drop sizes are obtained.
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  • 173
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    AIChE Journal 4 (1958), S. 285-289 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A method is presented for calculating the shear stress and the rate of heat transfer in external flows for combined laminar forced and free convection. The parameter Gr/Re2 is of fundamental importance in such problems. Numerical results are reported for the heating and cooling of upward flow past a vertical flat for three Prandtl numbers. It is found that the transition from forced to free convection is gradual, especially at high Prandtl numbers. The inflence of free convection on the separation point is also examined.
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  • 174
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    AIChE Journal 4 (1958), S. 300-304 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An empirical equation is developed which seems applicable to the general problem of fixed-bed catalytic design and relates the reaction rate (in a differential reactor) or conversion (through an integral reactor) to the surface reaction rate, the flow rate through the bed, and the physical properties of the system. The development is based on the assumption that there exists a film of stagnant fluid surrounding each catalyst particle, through which mass is transferred only by molecular motion, and that the thickness of this film varies throughout the bed from zero to some upper limit in a manner which is described by a distribution function. The equation involves two empirical constants: the multiplying constant and the exponent in the usual jd-factor-Reynolds-number relationship.The application of this equation is illustrated. It appears to provide a basis for evaluation of the contribution of diffusional steps in the over-all mechanism and to provide a means for predicting an expected conversion rate at any flow rate through the bed, provided only that the surface (chemical) reaction rate is known at the operating temperature. It also appears possible to calculate values of the surface-reaction-rate constant and the temperature coefficient from data taken from a reactor operating in the diffusion-controlled range.
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  • 175
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    AIChE Journal 4 (1958), S. 296-299 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Because of the paucity of data on the phase behavior of binary systems that form azeotropes, the P-V-T-x relations of the ammonia-isooctane system were determined at the liquid-vapor boundaries from room temperature to the critical temperature of issoctane. Evidence of an azeotrope existing over a very limited pressure and temperature range was obtained. The sistem is unique in that the critical locus contains a minimum temperature point as well as a minimum and a maximum pressure point. These relations are shown to fit a general pattern of phase relations characteristic of binary systems that form azeotropes in the critical region. This pattern serves as an aid for the qualitative prediction of the P-T-x relations of such systems.
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  • 176
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    AIChE Journal 4 (1958), S. 324-329 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Experiments in which a liquid film runs over a vertical string of spheres surrounded by a concentric tube through which air is blown upward have shown that loading in a packed tower is due to the formation of standing waves on the liquid film. In the ball-and-tube system a wave is formed just below the equator of each ball, owing to the pressure gradient within the air stream as it accelerates through the narrowing gap between the ball and the tube. Interfacial shear and surface tension are of secondary importance. The similarity between the characteristics of the ball-and-tube system and those of the randomly packed tower suggests that loading in the latter system is also due to wave formation. With this concept of loading, a correlation has been dérived.
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  • 177
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    AIChE Journal 4 (1958), S. 351-355 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: A recirculation type of reactor has been designed and tested on a rapid reaction which characteristically causes difficult temperature-control problems and high diffusional resistances (hydrogenation of propylene on nickel catalyst). Descriptions of the reactor and its operation are given, together with an assessment of errors and the advantages and disadvantages of the recirculation technique. A rate equation and rate constants are determined so that the data will be more readily comparable with the work of other investigators.
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  • 178
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    AIChE Journal 4 (1958), S. 382 
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    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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  • 179
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    AIChE Journal 4 (1958), S. 403-408 
    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: 15 Ill.
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  • 180
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    AIChE Journal 4 (1958), S. 413-417 
    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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  • 181
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    AIChE Journal 4 (1958), S. 430-435 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Volumetric data of nonpolar gaseous mixtures are analyzed in terms of the theory of corresponding states. Special attention is given to an analysis of the second virial coefficient and to the calculation of pseudocritical constants.Second virial coefficients are calculated from experimental data for ten binary systems. These coefficients, with those previously published, are correlated by means of a generalized equation involving three parameters for each component: the critical volume, the reduced temperature, and the acentric factor.Equations are derived for the pseudocritical temperature and pressure of mixtures. These equations are considerably more accurate than those given by Kay's rule. Because of the complexity of the proposed equations for the pseudocritical parameters, a simplified pseudocritical method is presented which is sufficiently accurate for most chemical engineering purposes, especially at reduced temperatures exceeding 1.3.
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  • 182
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    AIChE Journal 4 (1958), S. 445-452 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Some characteristics of gas pockets rising through beds of fluidized solids have been measured directly with a light probe technique. The vertical thickness, numerical frequency, and rate of rise of the bubbles were obtained from oscillographs of dual probe signals. Room-temperature air at 1-atm. pressure was used in 4- and 6-in. columns. Glass beads, a crushed rock, commerical cracking catalysts, coal, and hollow resin spheres were studied in particle sizes from 12-µ fluid cracking catalyst to 450-µ coal.Vertical bubble thickness was found to increase with particle size, distance above the bed support, and gas velocity. Size growth upon rising was mainly the result of coalescence of bubbles. The rise velocity ranged from 1 to 2 ft./sec., relatively unaffected by operating conditions. Bubble frequency decreased with height above the bed support owing to coalescence. Total bed-depth variation from 1.0 to 2.5 ft. did not significantly influence the results, which should be of interest in studying gas by-passing in fluidized beds and predicting the slugging behavior and fluidization uniformity.
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  • 183
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    AIChE Journal 4 (1958), S. 409-412 
    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 study effects of wetting on heat transfer in the nucleate boiling regime, stearic acid was boiled in contact with different crystal planes of single crystals of copper. One crystal plane being wetted by the acid more completely than the other, they are called wetted and nonwetted surfaces. In the region of low heat flux, where heat transfer is primarily nonboiling natural convection, the nonwetted crystal required higher values of temperature difference than the wetted crystal for the same flux. At high values of heat flux, though not in the vicinity of the critical temperature difference, the situation was reversed; that is, the nonwetted surface required lower temperature difference than the wetted surface.In the present studies, stearic acid was boiled at about 465°F., corresponding to a pressure of 17 mm. of mercury. Heat flux ranged from 3,450 to 63,300-B.t.u./(hr.)(sq. ft.), and temperature difference between the copper crystal and the stearic acid ranged from 38° to 132°F. The corresponding range of heat transfer coefficient was from 91 to 510 B.t.u./(hr.)(sq. ft.)(°F.).
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  • 184
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    AIChE Journal 4 (1958), S. 439-444 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: That phase equilibrium exists at the gas-liquid interface during gas absorption is usually assumed in the analysis and design of absorption equipment, but the validity of this assumption has been in doubt since Higbie's pioneering gas-absorption studies. Accurate measurements are reported herein of the absorption rates at 25°C. of carbon dioxide into short water jets in which the liquid was in laminar flow. The jets issued from circular nozzles of about 1.5-mm. diam., flowed intact downward through an atmosphere of carbon dioxide at average velocities of from 75 to 550 cm./sec. over distances of 1 to 15 cm., and were collected in a receiver slightly larger in diameter than the nozzles. The measured absorption rates are in excellent agreement with predictions based on unsteady state diffusion theory, when one assumes interfacial equilibrium. It is concluded from these results and those of other investigators that equilibrium prevails at a freshly formed, relatively clean, carbon dioxide-water interface and that the same statement probably applies to the absorption of other slightly soluble gases in water.Evidence is discussed which indicates that an accumulation of minute quantitities of surface-active materials may seriously reduce the rate of gas absorption, either by affecting the hydrodynamic characteristics of the system or perhaps by offering resistance to the transfer of solute molecules across the interface.
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  • 185
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    AIChE Journal 4 (1958), S. 453-459 
    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 the results of a previous investigation on the continuous counter-current extraction of sugar beets (3) and its correlations. The relationship between the continuous diffusion and the simple diffusion is discussed from the standpoint of extraction rate.
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  • 186
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    AIChE Journal 4 (1958), S. 465-471 
    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 plate efficiency and pressure drop data were obtained on the n-octane-toluene system in a 5 plate, 6 in. diam. column at atmospheric pressure. Hole sizes of 1/16, 1/8, and 3/16 in.; 5.68 and 12.5% free areas; weir heights of 1, 2, and 3 in.; and plate spacings of 6, 12, 18, and 24 in. were studied. Reflux ratios of one, two, four, five, ten, and total were utilized to determine the effect on efficiency.It was found that hole diameter, free area, plate spacing, and a wide range of reflux ratio had relatively small effect on efficiency and pressure drop; however weir height and lower reflux showed relatively larger effects on both variables.Efficiencies and pressure drops were lower than those predicted from published correlations particularly at low flow rates.
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  • 187
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    AIChE Journal 4 (1958), S. 485-489 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: In this paper flow patterns of liquids in an agitated vessel of 11 1/2-in.I.D. were measured with the radioisotope of cobalt as a means of measurement. Flow patterns of representative types of impellers, namely paddle, turbine, and propeller, were studied. Water and glycerine solutions were used as liquids the viscosity of which ranged from 1 to 108 cp. Effects of geometrical factors of agitated systems on flow patterns were investigated, in particular those of baffles.Experimental results obtained were analyzed, and a curve showing the relation between flow patterns and power consumption by the agitation was made.
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    AIChE Journal 4 (1958), S. 10D-11D 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
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  • 189
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    AIChE Journal 4 (1958), S. 33-36 
    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 coolant flow distribution among parallel passages in a nuclear reactor (or boiler or heat exchanger) can be very sensitive to variations in heat input, channel dimensions, etc. In a previous paper this flow sensitivity was defined in terms of certain partial derivatives, which were related by analytical expressions to fluid properties and operating characteristics. Flow sensitivity contributes largely to potential malfunction, reduced efficiency, or failures. The use of valves and orifices was quantitatively evaluated for supercritical water in the earlier paper. The scope of this paper is to consider the utility of mixing headers. These mixing chambers are located along the flow passage as a common receiver for parallel flow from many channels. The headers, in turn, supply subsequent lengths of heated passages in parallel. Analytical expressions are derived for the effect of headers on flow, outlet-fluid enthalpy, and channel-wall temperatures. The limiting cases of minimum and complete mixing in the headers are considered and numerical results for water at supercritical pressures are given to show the marked increase in stability obtained by use of intermediate mixing headers.
    Additional Material: 2 Ill.
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  • 190
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 4 (1958), S. 53-57 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Problems in heat conduction involving a moving boundary are encountered in the freezing of liquids and in other situations. Such problems are difficult to solve, and exact solutions are almost unknown. A graphical method for obtaining numerical solutions to problems of this type which can be described in terms of one space coordinate is derived and is demonstrated in two examples involving the freezing of liquids. The method, which does not require specialized knowledge or equipment, takes into account both sensible heats and latent heat.
    Additional Material: 6 Ill.
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  • 191
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 4 (1958), S. 75-80 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Local boiling heat transfer coefficients were experimentally determined for nucleate boiling around the outer circumference of horizontal copper tubing. The tubes used were of 16 B.W.G. hard-temper copper with outside diameters of 1 1/4 and 2 in; the liquids boiled were methanol and n-hexane. The maximum peripheral variation occurred with the 1 1/4-in. tube in methanol where an over-all ΔT of 30.2°F. gave local outside coefficients varying between 249 and 548 B.t.u./(hr.)(sq. ft.)(°F.). The minimum variation was found to occur in the same system, in which an over-all ΔT of 72.3°F. gave coefficients varying between 856 and 910 B.t.u./(hr.)(sq. ft.)(F.°). The results, plotted in polar coordinates, showed a cardioid configuration for methanol with the maximum coefficients occurring at the bottom of the tube. The n-hexane results had the general shape of horizontal ellipses with maximum coefficients occurring at the sides of the tube.
    Additional Material: 10 Ill.
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  • 192
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 4 (1958), S. 97-101 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
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  • 193
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 4 (1958), S. 102-113 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Superatmospheric pressures greatly reduce the temperature differences in nucleate boiling of or ganic liquids. Since nucleate boiling is characterized by bubble formation at the heating surface, it seems logical to investigate the pressure difference that causes bubble formation. It has been found that for organic liquids the difference in vapor pressure corresponding to the temperature difference behaves in a regular manner with pressure but does not vary greatly. This regular behavior permits prediction of temperature differences at higher pressures with a knowledge of only vapor-pressure and boiling data at one pressure. New boiling data have been obtained in the investigation.
    Additional Material: 22 Ill.
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  • 194
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 4 (1958), S. 14M 
    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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  • 195
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 4 (1958) 
    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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  • 196
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 4 (1958), S. 132-136 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An equivalent Poiseuille's Law is derived for a homogeneous isotropic turbulent field. The derivation is based on an analogy between momentum transfer and heat and mass transfer, three coefficients being used to characterize the exchange process: (1) the molecular viscosity µ, (2) an intensity parameter to characterize the magnitude of the turbulent velocity fluctuations ν2, and (3) a scale parameter to characterize the scale of the turbulence T.
    Additional Material: 4 Ill.
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  • 197
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 4 (1958), S. 127-131 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Nearly 900 values of local heat transfer coefficients were correlated for water flowing through long annuli 1/8, 1/4, and 3/8 in. wide, electrically heated at their inner surfaces and containing three spacer ribs. Both cosine and uniform lengthwise heat-flux distributions were employed. All heat transfer coefficients were computed for positions corresponding to (L/De) ratios larger than 150. Several methods of correlation were attempted and compared, especially with respect to the method of evaluating physical properties. The proportionality of the Colburn j factor to the Prandtl and Reynolds numbers with their usual exponents was verified, and the dependence of j upon D2/D1 was analyzed. There was no significant effect of cosine heat-flux distribution on the heat transfer coefficients. Evaluating physical properties at the usual film temperature gave the best correlation. A simplified dimensional equation for water at moderate temperatures and pressures was also developed.
    Additional Material: 4 Ill.
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  • 198
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 4 (1958), S. 137-142 
    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 corresponding-states correlation of low-density binary- and self-diffusion coefficients is presented. The equations are simple to use, are sufficiently accurate for most calculations, and correlate those data used in their derivation somewhat better than calculations based on the Lennard-Jones potential if potential parameters have to be estimated from the critical properties. The Enskog kinetic theory of dense gases is used in modified form to obtain an expression for the high-density diffusion coefficient for isotopic mixtures in terms of the viscosity and compressibility of the gas. Generalized viscosity and compressibility charts are then used to construct a graph for predicting a reduced self-diffusion coefficient as a function of reduced temperature Tr = T/Tc and reduced pressure pr = p/pc. The effect of the pressure on the Schmidt number, Sc = μ/ρD, is also discussed. Finally the extension of this chart to nonisotopic mixtures is considered.
    Additional Material: 2 Ill.
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  • 199
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    AIChE Journal 4 (1958), S. 153-156 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Measurements were made of the rate of fall of drops of five organic liquids through an aqueous phase contained in eight vertical cylinders of various diameters. Newton's equation for the wall proximity effect for rigid spheres or cylinders predicts values somewhat in excess of the observed. A correction factor equation with the more convenient equivalent spherical diameter is presented. Its use is limited to d/D ratios less than one half. The ultimate velocity of a drop of specific size in an infinite medium can be calculated from that measured in a small tube by multiplying the latter by the ratio of the tube cross-sectional area to the area of the annular space between tube wall and drop.
    Additional Material: 7 Ill.
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  • 200
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    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 4 (1958), S. 190-196 
    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 role of eddy diffusion of mass (water vapor) and momentum was investigated in a specially devised wetted-wall channel in which the rippling of the liquid film was eliminated. The experimental measurements of the turbulent exchange coefficients for mass and momentum transport were carried out in a fully developed turbulent flow of air within the range of Reynolds numbers of 8,00 to 160,000. A correlation with Reynollds number revealed an approximately linear relationship of the eddy diffusivties to Reynolds number revealed an approximately linear relationship of the eddy diffusivities to Reynolds number [Equation (4)]. From the hot-wire measurements it was found that within the main protion of the turbulent core eddy diffusivities remained fairly constant.
    Additional Material: 18 Ill.
    Type of Medium: Electronic Resource
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