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Steady-state reactant flux into a medium containing spherical sinks

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.

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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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Gavalas, G. R.0000-0003-1468-6835
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
Record Number:CaltechAUTHORS:20151104-112517607
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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, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:61827
Deposited By: Ruth Sustaita
Deposited On:04 Nov 2015 21:21
Last Modified:10 Nov 2021 22:54

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