Loewenberg, M. and Gavalas, G. R. (1988) Steady-state reactant flux into a medium containing spherical sinks. Chemical Engineering Science, 43 (9). pp. 2431-2444. ISSN 0009-2509. doi:10.1016/0009-2509(88)85177-7. https://resolver.caltech.edu/CaltechAUTHORS:20151104-112517607
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Abstract
A detailed analysis is presented for determining the reactant flux into a composite material containing randomly-located, reactive spherical centers. The governing equations are configurationally averaged assuming the spheres are distributed according to a hard-sphere potential. The resulting infinite hierarchy of coupled equations is truncated using physical consideratiosn of screening and diluteness of the particulate phase. A general asymptotic solution is obtained valid to order c for all bounded and semi-infinite domains. The solution reproduces the mean-field result and includes the previously-neglected effects of sphere-boundary interactions. These interactions dominate the effect of two-sphere interactions which affect the solution at order c^(3/2) ln c. Explicit consideration is given tot he case in which the domain is spherical or semi-infinite and a solution obtained for each. The solutions obtained generally predict an enhanced reactant flux relative to the mean-field result. The solution is illustrated by application to the problem of coal ash vaporization.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1988 Pergamon Press. Received 24 July 1987, Accepted 8 January 1988. The authors wish to acknowledge useful discussions with Prof. A. Acrivos. | |||||||||
| Issue or Number: | 9 | |||||||||
| DOI: | 10.1016/0009-2509(88)85177-7 | |||||||||
| Record Number: | CaltechAUTHORS:20151104-112517607 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20151104-112517607 | |||||||||
| Official Citation: | M. Loewenberg, G.R. Gavalas, Steady-state reactant flux into a medium containing spherical sinks, Chemical Engineering Science, Volume 43, Issue 9, 1988, Pages 2431-2444, ISSN 0009-2509, http://dx.doi.org/10.1016/0009-2509(88)85177-7. (http://www.sciencedirect.com/science/article/pii/0009250988851777) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 61827 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 04 Nov 2015 21:21 | |||||||||
| Last Modified: | 10 Nov 2021 22:54 |
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