LINEAR-STABILITY ANALYSIS OF REACTION FRONTS IN LIQUIDS

Authors
GARBEY M TAIK A VOLPERT V
Citation
M. Garbey et al., LINEAR-STABILITY ANALYSIS OF REACTION FRONTS IN LIQUIDS, Quarterly of applied mathematics, 54(2), 1996, pp. 225-247
Citations number
60
Categorie Soggetti
Mathematics,Mathematics
Journal title
Quarterly of applied mathematics → ACNP
ISSN journal
0033569X
Volume
54
Issue
2
Year of publication
1996
Pages
225 - 247
Database
ISI
SICI code
0033-569X(1996)54:2<225:LAORFI>2.0.ZU;2-S
Abstract
The propagation of a reaction front for liquid-to-solid reaction is st udied. The model includes the heat equation, an equation for the conce ntration of the liquid reactant, and the equations of liquid motion un der the Boussinesq approximation. The linear stability of the reaction front is studied, and conditions for cellular and oscillatory instabi lity are determined.