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Mathematical Models and Computer Simulations

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01-06-2023

Influence Study of Perturbations on Inclined Propagation of Reaction Fronts

Authors: Youssef Joundy, Hamza Rouah, Ahmed Taik

Published in: Mathematical Models and Computer Simulations | Issue 3/2023

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Abstract

In this work, we study the influence of vibrations and quasi-periodic vibrations on the propagation of reaction fronts where the monomer is liquid and the polymer is solid and in the case where the experimental tube is subjected to a variable inclination. The mathematical model includes the heat equation, the concentration equation and the Navier–Stockes equation under the Boussinesq approximation. As the reaction zone is narrow, the model is seen as a singular perturbation problem, we perform an asymptotic analysis as proposed by Zeldovich and Frank-Kamenetskii to reduce the problem to an interface problem. We then perform a linear stability analysis to study the interface problem. The linearized problem is solved numerically using a multiquadric radial basis function (MQ-RBF) method to find the neutral convective stability limit. This will allow us to deduce the influence of each physical parameter of the problem on this stability, in particular the different vibrations and the angle of inclination of the experimental tube.

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Title: Influence Study of Perturbations on Inclined Propagation of Reaction Fronts
Authors: Youssef Joundy
Hamza Rouah
Ahmed Taik
Publication date: 01-06-2023
Publisher: Pleiades Publishing
Published in: Mathematical Models and Computer Simulations / Issue 3/2023
Print ISSN: 2070-0482
Electronic ISSN: 2070-0490
DOI: https://doi.org/10.1134/S2070048223030195

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