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Mathematical Problems in Engineering
Volume 2015, Article ID 484562, 11 pages
http://dx.doi.org/10.1155/2015/484562
Research Article

Influence of Quasiperiodic Gravitational Modulation on Convective Instability of Liquid-Liquid Polymerization Front

1Department of Mathematics, University of Hassan II-Casablanca, FST, P.O. Box 146, Mohammedia, Morocco
2Department of Mechanics, University of Hassan II-Casablanca, Casablanca, Morocco

Received 11 August 2015; Accepted 7 October 2015

Academic Editor: Fazal M. Mahomed

Copyright © 2015 Saadia Assiyad et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The influence of quasiperiodic gravitational modulation on convective instability of polymerization front with liquid monomer and liquid polymer is studied. The model includes the heat equation, the concentration equation, and the Navier-Stokes equations under the Boussinesq approximation. The linear stability analysis of the problem is carried out and the interface problem is derived. Using numerical simulations, the convective instability threshold is determined and the boundary of the convective instability is obtained for different amplitudes and frequencies ratio.