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Influence of Vibrations on Convective Instability of Reaction Fronts in Liquids

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
K. Allali ,
F. Bikany ,
A. Taik  and
V. Volpert
K. Allali
Affiliation:
University Hassan II, UFR-MASI, Dept. of Maths, B.P. 146, FST-Mohammadia, Morocco
F. Bikany
Affiliation:
University Hassan II, UFR-MASI, Dept. of Maths, B.P. 146, FST-Mohammadia, Morocco
A. Taik*
Affiliation:
University Hassan II, UFR-MASI, Dept. of Maths, B.P. 146, FST-Mohammadia, Morocco
V. Volpert
Affiliation:
University Lyon1, Institute Camille Jordan, UMR 5208, 69100 Villeurbanne, France
*
*Corresponding author: E-mail: taik_ahmed@yahoo.fr
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Abstract

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

Keywords

convective instabilityfrontal polymerizationvibrations
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9th International Conference on Numerical Analysis and Optimization , 2010 , pp. 35 - 41
Copyright
© EDP Sciences, 2010

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References

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