Derivation of a nonlinear front evolution equation for chemical waves involving convection

Joseph W. Wilder*, Boyd F. Edwards, Desiderio A. Vasquez, Gregory I. Sivashinsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The nonlinear stability of exothermic autocatalytic reaction fronts is considered using the viscous thermohydrodynamic fluid equations in the limits of infinite and zero thermal diffusivity. A nonlinear front evolution equation is derived using asymptotic analysis and is solved for an ascending front. The method used is similar to that which has been used in the derivation of a front equation for flame propagation.

Original languageEnglish
Pages (from-to)217-226
Number of pages10
JournalPhysica D: Nonlinear Phenomena
Volume73
Issue number3
DOIs
StatePublished - 1 Jun 1994

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