| Issue |
Math. Model. Nat. Phenom.
Volume 5, Number 7, 2010
JANO9 – The 9th International Conference on Numerical Analysis and Optimization
|
|
|---|---|---|
| Page(s) | 35 - 41 | |
| DOI | https://doi.org/10.1051/mmnp/20105706 | |
| Published online | 26 August 2010 | |
Influence of Vibrations on Convective Instability of Reaction Fronts in Liquids
1
University Hassan II, UFR-MASI, Dept. of Maths,
B.P. 146, FST-Mohammadia, Morocco
2
University Lyon1, Institute Camille Jordan, UMR 5208,
69100
Villeurbanne,
France
* Corresponding author: E-mail:
taik_ahmed@yahoo.fr
Propagation of polymerization fronts with liquid monomer and liquid polymer is considered and the influence of vibrations on critical conditions of convective instability is studied. The model includes the heat equation, the equation for the concentration and the Navier-Stokes equations considered under the Boussinesq approximation. Linear stability analysis of the problem is fulfilled, and the convective instability boundary is found depending on the amplitude and on the frequency of vibrations
Mathematics Subject Classification: 34E05 / 34E10 / 35K57 / 76V05 / 76E15
Key words: convective instability / frontal polymerization / vibrations
© EDP Sciences, 2010
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