On the Theory of Reactions in Continuous Mixtures
- Creators
- Aris, R.
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Gavalas, G. R.
Abstract
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.
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.Additional details
- Eprint ID
- 61535
- DOI
- 10.1098/rsta.1966.0054
- Resolver ID
- CaltechAUTHORS:20151026-152850063
- University of Minnesota
- John P. Fridley Fund
- Caltech
- Created
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2015-10-27Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field