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On the Theory of Reactions in Continuous Mixtures

Aris, R. and Gavalas, G. R. (1966) On the Theory of Reactions in Continuous Mixtures. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 260 (1112). pp. 351-393. ISSN 1364-503X. doi:10.1098/rsta.1966.0054.

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A mixture with a very large number of components approaches the condition of a continuous mixture in which the components are not distinguished by a discrete index but by a continuous variable. Such a mixture can be described by distributions of concentration and is capable of sustaining an infinite number of reactions. Polymerization and cracking reactions can be treated in this way and there may be applications to the very complex processes of biology. The aim of this paper is to lay the foundations for the stoicheiometry, thermodynamics and kinetics of such reactions and to outline several techniques for solving the resulting integro-differential equations. Attention is also paid to the problem of fitting the parameters of such a model to experimental data.

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Gavalas, G. R.0000-0003-1468-6835
Additional Information:© 1966 The Royal Society. (Communicated by K. G. Denbigh, F .R.S.-Received 6 August 1965) We are indebted to the Numerical Analysis Center of the University of Minnesota for free use of the computer, to the John P. Fridley Fund for fellowship support, and to the Division of Chemistry and Chemical Engineering of the California Institute of Technology for financing part of the computations.
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University of MinnesotaUNSPECIFIED
John P. Fridley FundUNSPECIFIED
Issue or Number:1112
Record Number:CaltechAUTHORS:20151026-152850063
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Official Citation:On the Theory of Reactions in Continuous Mixtures R. Aris, G. R. Gavalas Phil. Trans. R. Soc. Lond. A 1966 260 351-393; DOI: 10.1098/rsta.1966.0054.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:61535
Deposited By: George Porter
Deposited On:27 Oct 2015 15:53
Last Modified:10 Nov 2021 22:50

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