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Dynamics of rapid extinction in a lumped system with Arrhenius chemistry

Published online by Cambridge University Press:  17 February 2009

D. D. Do  and
R. H. Weiland
D. D. Do
Affiliation:
Department of Chemical Engineering, California Institute of Technology, Pasadena, California 91125, U.S.A.
R. H. Weiland
Affiliation:
Department of Chemical Engineering*, Clarkson College of Technology, Potsdam, New York 13676, U.S.A.
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Abstract

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Reacting systems with Arrhenius chemistry can exhibit multiple steady states for γ > 4(1 + β)/β where γ is activation energy and β is the heat of reaction. We give a detailed analysis of the extremely rapid jump which takes place as catalyst activity slowly decays through criticality. Previous analyses are asymptotic in the limit γ → ∞; here we relax the large γ assumption and only require that passage through criticality is slow.

Type
Research Article
Information
The ANZIAM Journal , Volume 23 , Issue 3 , January 1982 , pp. 278 - 290
Copyright
Copyright © Australian Mathematical Society 1982

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