https://doi.org/10.1140/epjs/s11734-025-01935-y
Regular Article
Effect of simultaneous gravitational modulations on reaction front instability in porous media
1
Laboratory of Mathematics Computer Science and Applications, Faculty of Sciences and Technologies, Hassan II University of Casablanca, Mohammedia, Morocco
2
Faculty of Sciences Ain Chock, Hassan II University of Casablanca, Casablanca, Morocco
Received:
26
August
2025
Accepted:
5
September
2025
Published online:
11
September
2025
This work studies the influence of simultaneous gravitational modulations on polymerization front convective instability in porous media. Various frequency combinations of the simultaneous gravitational modulations are examined. The simultaneous modulations consist of the principal and secondary excitations with different frequencies. The considered model takes into account the relationship between the equations for heat, concentration, and hydrodynamics. In the mathematical formulation two approaches are considered. The first stands for the incompressibility behaviour of the fluid represented by Boussinesq equation, while the second relies on the physical effect of the porous matrix on the fluid flow represented by Darcy law. To perform the linear stability analysis of the problem, we adopt the Zeldovich-Frank-Kamenetskii approach which considers that the reaction occurs in a narrow zone. The interface problem is determined in order to illustrate the fluid dynamics in the reactant monomer in the product polymer along with the corresponding jump conditions. Numerical simulations are used to establish the threshold of convective instability. The effect of different simultaneous frequency combinations of the gravitation modulation on the reaction front convective threshold is analyzed and comparison of the obtained results is provided. The results reveal that the stability of the propagating reaction front in porous media can be controlled by adding to the principal gravitational modulation an appropriate secondary gravitational one.
The paper is dedicated to the memory of Professor Etienne Guyon.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
