Asymptotic and Stability Analysis of Reaction Fronts

被引：0
|
作者：
Rouah, H. [1 ]
Joundy, Y. [2 ]
Taik, A. [1 ]
机构：
[1] Univ Hassan II Casablanca, Dept Math, Lab Math & Applicat, FSTM, PO Box146, Mohammadia, Morocco
[2] Chouaib Doukkali Univ, Polydisciplinary Fac Sidi Bennour, El Jadida, Morocco
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2024年 / 64卷 / 06期
关键词：
asymptotic analysis; stability analysis; frontal polymerization; reaction-diffusion equations; finite difference method; CONVECTIVE INSTABILITY; POLYMERIZATION; ORIENTATION; VIBRATIONS; COMBUSTION; LIQUID;
D O I：
10.1134/S096554252470057X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The influence of certain parameters on the stability conditions of the reaction front in a porous medium is studied in this article. The mathematical model includes the heat equation, the concentration equation and the equations of motion under the Boussinesq-Darcy approximation. An asymptotic analysis was carried out using the method of Zeldovich and Frank-Kamentskii to obtain the interface problem. A stability analysis was performed to determine a linearized problem that will be solved numerically using the finite difference method with an implicit scheme. This will allow to conclude the effect of each parameter on the stability of the front, in particular the amplitude and the frequency of the vibrations.
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页码：1353 / 1365
页数：13
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