Hydrodynamic stability of a polymerization front
- 1 June 1996
- journal article
- research article
- Published by Cambridge University Press (CUP) in European Journal of Applied Mathematics
- Vol. 7 (3), 303-320
- https://doi.org/10.1017/s0956792500002370
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.Keywords
This publication has 26 references indexed in Scilit:
- Effect of thermal expansion on stability of reaction front propagationChemical Engineering Science, 1994
- Propagation of frontal polymerization—crystallization wavesEuropean Journal of Applied Mathematics, 1994
- Onset of convection for autocatalytic reaction fronts: Laterally bounded systemsPhysical Review A, 1991
- Bifurcation analysis of chemically driven convectionChemical Engineering Science, 1990
- Hydrodynamic stability of a cylindrical reaction front associated with a strong increase of viscosityJournal of Applied Mechanics and Technical Physics, 1988
- Bifurcation of Pulsating and Spinning Reaction Fronts in Condensed Two-Phase CombustionCombustion Science and Technology, 1985
- Flames in Fluids: Their Interaction and StabilityCombustion Science and Technology, 1983
- Propagation of a Pulsating Reaction Front in Solid Fuel CombustionSIAM Journal on Applied Mathematics, 1978
- Propagation of a pulsating exothermic reaction front in the condensed phaseCombustion, Explosion, and Shock Waves, 1973
- The effect of transport processes on the stability of a plane flame frontJournal of Applied Mathematics and Mechanics, 1966