DERIVATION OF A NONLINEAR FRONT EVOLUTION EQUATION FOR CHEMICAL WAVESINVOLVING CONVECTION

Authors
WILDER JW EDWARDS BF VASQUEZ DA SIVASHINSKY GI
Citation
Jw. Wilder et al., DERIVATION OF A NONLINEAR FRONT EVOLUTION EQUATION FOR CHEMICAL WAVESINVOLVING CONVECTION, Physica. D, 73(3), 1994, pp. 217-226
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
73
Issue
3
Year of publication
1994
Pages
217 - 226
Database
ISI
SICI code
0167-2789(1994)73:3<217:DOANFE>2.0.ZU;2-D
Abstract
The nonlinear stability of exothermic autocatalytic reaction fronts is considered using the viscous thermo-hydrodynamic fluid equations in t he 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 b een used in the derivation of a front equation for flame propagation.