Hydrodynamic stability of a polymerization front

Vit A. Volpert*, Vladimir Volpert, J. A. Pojman, S. E. Solovyov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We consider the propagation of an exothermic reaction wave which converts liquid reactants into a solid product. Such reaction waves are observed, for example in addition polymerization, where there is a propagating localized polymerization zone, in which monomer is converted to polymer. We study uniformly propagating travelling waves and their linear stability. We show that, though this problem is similar to the problem of gaseous combustion, which exhibits a hydrodynamic instability, here there is no such hydrodynamic instability. This theoretical result is consistent with experimental observations in the case when the polymerization process occurs under high external pressure conditions.

Original languageEnglish (US)
Pages (from-to)303-320
Number of pages18
JournalEuropean Journal of Applied Mathematics
Volume7
Issue number3
StatePublished - Jun 1 1996

ASJC Scopus subject areas

  • Applied Mathematics

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