https://doi.org/10.1140/epje/s10189-026-00563-1
Research – Flowing Matter
Analysis of MHD rayleigh–taylor instability in a walter’s B fluid with thermal and mass diffusion effects
1
Department of Mathematics, Babasaheb Bhimarao Ambedkar University, Lucknow, India
2
Department of Mathematics, Ganga Singh College, 841301, Chapra, Bihar, India
a
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Received:
29
October
2025
Accepted:
26
January
2026
Published online:
2
March
2026
Abstract
An analytical and numerical investigation of Rayleigh–Taylor instability has been carried out within a planner configuration under the influence of a vertically imposed magnetic field, through viscous potential flow theory. The instability is examined for the configuration in which a Walter’s B viscoelastic fluid overlies a Newtonian viscous fluid embedded in a porous medium, with simultaneous heat and mass transfer permitted across the interface. The dispersion relation between perturbation growth rate and wave number is established via normal mode analysis. This relation is investigated using the Newton–Raphson method, which facilitates the identification of the influence of various non-dimensional physical parameters, determining whether they suppress or amplify the perturbation growth. The study reveals that a vertically oriented magnetic field and an increased porosity of the medium enhance the amplification of perturbations, while an increased thermal flux across the interface counteracts this tendency, thereby diminishing the growth of instability.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2026
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.
