REACTIVE-DIFFUSE SYSTEMS WITH ARRHENIUS KINETICS: MULTIPLE SOLUTIONS, IGNITION AND EXTINCTION.

A. K. Kapila*, B. J. Matkowsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

The steady reactive-diffusive problem for a nonisothermal porous pellet with first-order exothermic Arrhenius kinetics is studied. In the large activation energy limit, asymptotic solutions are derived for the cylindrical and slab geometries. Analytical expressions for the solution are given on all three branches of the S-curve which characterizes the response of the system. In particular, explicit formulae are obtained for the multiplicity bounds (ignition and extinction limits). Our leading-order asymptotic results are then compared with the results of numerical computations.

Original languageEnglish (US)
Pages (from-to)373-389
Number of pages17
JournalSIAM J Appl Math
Volume36
Issue number2
DOIs
StatePublished - Jan 1 1979

ASJC Scopus subject areas

  • Applied Mathematics

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