https://doi.org/10.1140/epjb/s10051-024-00738-9
Regular Article - Computational Methods
Magnetohydro-convective instability in a saturated Darcy–Brinkman medium with viscous dissipation
1
Department of Mathematics, National Institute of Technology, 506004, Warangal, Telangana, India
2
Centre for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to Be University), 560029, Bengaluru, Karnataka, India
Received:
19
May
2024
Accepted:
22
June
2024
Published online:
26
July
2024
The influence of dissipation with viscosity on magnetohydro-convective instability in a saturated Darcy–Brinkman medium is examined. The bottom boundary is designated as adiabatic, whereas the top boundary is isothermal. Numerical linear stability analysis investigates normal modes that disturb the horizontal base flow at different inclinations. The case study shows that the most unstable disturbances are horizontal rolls, normal modes characterized by a wave vector perpendicular to the main flow direction. The horizontal rolls are the favored instability mode. Barletta et al. also showed that horizontal rolls are more unstable than any other oblique roll mode in the hydromagnetic scenario. This finding provides insights into the behavior of MHD fluid flow and heat transfer in porous media, with implications for applications in geoscience, engineering, and environmental science.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
