Influence of vibrations on convective instability of polymerization fronts

Authors
Allali, K Volpert, V Pojman, JA
Citation
K. Allali et al., Influence of vibrations on convective instability of polymerization fronts, J ENG MATH, 41(1), 2001, pp. 13-31
Citations number
41
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF ENGINEERING MATHEMATICS
ISSN journal
00220833 → ACNP
Volume
41
Issue
1
Year of publication
2001
Pages
13 - 31
Database
ISI
SICI code
0022-0833(200109)41:1<13:IOVOCI>2.0.ZU;2-O
Abstract
Propagation of polymerization fronts with liquid monomer and solid polymer is considered, and the influence of vibrations on critical conditions of co nvective instability is studied. The model includes the heat equation, the equation for the concentration and the Navier-Stokes equations considered u nder the Boussinesq approximation. Linear stability analysis of the problem is fulfilled. and the convective instability boundary is found depending o n the amplitude and on the frequency of vibrations.