A Simple Device for the Determination of Sphericity Factor

Subramanian, P.R.; Arunachalam, Vr.

doi:10.1021/i160076a020

Cited by 6 publications

(1 citation statement)

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“…The surface area per unit volume of solid can be evaluated by (Perry and Chilton, 1973): (44) where 4 is shape factor; dp is average particle diameter; and +dp can be obtained from the Kozeny-Carman equation (Carman, 1951;Cadle, 1965;Stockham and Fochtman, 1977;Subramanian and Arunachalam, 1980): where h is the measured head loss over the packing height L.…”

Section: (37)mentioning

confidence: 99%

Dissolution equilibria and kinetics of fluorite and calcite mixtures

Knaebel

1989

AIChE Journal

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Minerals commonly contain impurities, and their dissolution involves complicated ionic equilibria and multicomponent mass transfer. This paper describes the experiments that were carried out and proposes a mechanism for dissolution behavior of fluorspar containing calcite as a major impurity in both batchwise and continuous packed-bed systems.The mechanism is based on analysis of coupled equilibria among the soluble species. Of more than eight potentially relevant species, only three (viz., F-, HCO,-, and Ca2+) are significant. The coupled flux equations for Fand HCO,are written in terms of "main" and "cross" mass transfer coefficients, with the concentration of Ca2+ being accounted for by electroneutrality. Only one main mass transfer coefficient needs to be determined experimentally; and other coefficients can be evaluated from it by means of simple diffusion coefficient ratios, which are determined independently. The Stanton number based on the main mass transfer coefficient is correlated with Reynolds number and the Schmidt number for packed bed dissolution.A comparison of the exact solution (Eq. 9) with the approximate solution (Eq. 10) is shown in Figure 1 for a range of aqueous carbon dioxide activities. Since the discrepancies are negligible except at very low concentration of aqueous carbon dioxide, the Vol. 35, No. 8 AICbE Journal 15 and 16 then become: open system of fluorspar dissolution equilibrium (viz., = 0.0013 mM) can be treated as a dilute ternary system consisting of F-, and Ca2+. *Obtained by recirculation of effluent at 500 mL/min. Other data were measured in zero-flow rate columns (column initially filled with distilled water). All the experiments were conducted after aging process was completed, i.e., after about 80 hours dissolution in the packed column (cf. Figure Al).

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Section: (37)mentioning

confidence: 99%

Dissolution equilibria and kinetics of fluorite and calcite mixtures

Knaebel

1989

AIChE Journal

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Pressure loss in packed beds of multicomponent mixtures of flat particles with particle overlap, including random chips

Schonfeldt,

Hallett

2024

Can J Chem Eng

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AbstractwPressure loss measurements are presented for packed beds of multi‐component mixtures of thin angular parallelepipeds and of random wood chips for a Reynolds number range of 50 to 500. For flat particles like these, the degree to which the particles overlap is an essential factor in pressure loss, and this was measured using two different methods, including a novel technique involving progressive dismantling and photography of the bed. The experimental friction factors were found to be well represented by the Nemec and Levec pressure loss correlation, an Ergun‐type equation with an explicit dependence of the parameters on particle sphericity, with the equation expanded to include the effects of particle overlap and of packing anomalies at the wall. The friction losses of the mixtures were found to be somewhat higher than those of the individual component particles, requiring a minor change in the correlation parameters. Estimates of the tortuosity of the bed channels showed that the greater losses of the mixtures correspond to an increase in tortuosity.

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Pressure drop in packed beds of angular parallelepipeds, including the effects of particle interference

Trudel

Hallett

2017

Chemical Engineering Science

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A Simple Device for the Determination of Sphericity Factor

Cited by 6 publications

References 0 publications

Dissolution equilibria and kinetics of fluorite and calcite mixtures

Dissolution equilibria and kinetics of fluorite and calcite mixtures

Pressure loss in packed beds of multicomponent mixtures of flat particles with particle overlap, including random chips

Pressure drop in packed beds of angular parallelepipeds, including the effects of particle interference

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