Orientation effect on the stability conditions of fronts in a liquid and porous medium
by Hamza Rouah; Ahmed Taik
International Journal of Modelling, Identification and Control (IJMIC), Vol. 41, No. 4, 2022

Abstract: In this article, we have studied the influence of orientation on the conditions of stability of the reaction fronts in two cases: the first case where the liquid monomer is converted into solid polymer in a liquid medium and the second case where the monomer and the polymer are liquid in a porous medium. The Zeldovich and Frank-Kamenetskii method is used to perform the asymptotic analysis taking the inverse of Zeldovich number as a critical parameter. The linear stability analysis is fulfilled to investigate the resulting interface models for both cases. The dispersion relation obtained for both cases is solved numerically and then the conditions for cellular and oscillatory instability are determined. We showed that the angle of inclination affects the conditions of thermal and convective instability in a liquid and porous medium.

Online publication date: Tue, 17-Jan-2023

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