Multiple steady state solutions and shape factors for a combustion problem

A. Swift, E. Balakrishnan, G. C. Wake

Research output: Contribution to journalArticle

Abstract

We investigate multiple steady state solutions of the heat balance equation for material undergoing an exothermic reaction over some closed region, using dimensionless form of the relevant steady state reaction-diffusion equation. Arrhenius kinetics are assumed and two cases considered, namely, the well known Frank-Kamenetskii approximation ("old" variable case) and the "new" variable approach of Burnell et al. In each case, we show that there exist multiple solutions. Further more, a well known approximate method gives a different number of solutions than a direct solution method in each of these two cases.

Original languageEnglish
Pages (from-to)509-510
Number of pages2
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume76
Issue numberSUPPL. 5
Publication statusPublished - 1996

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Exothermic reactions
Steady-state Solution
Combustion
Closed region
Kinetics
Balance Equations
Number of Solutions
Multiple Solutions
State Equation
Reaction-diffusion Equations
Dimensionless
Heat Equation
Approximation
Hot Temperature
Form

ASJC Scopus subject areas

  • Computational Mechanics
  • Applied Mathematics

Cite this

Multiple steady state solutions and shape factors for a combustion problem. / Swift, A.; Balakrishnan, E.; Wake, G. C.

In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 76, No. SUPPL. 5, 1996, p. 509-510.

Research output: Contribution to journalArticle

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