Magnetohydro-convective instability in a saturated Darcy–Brinkman medium with viscous dissipation

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...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2024-07, Vol.97 (7), Article 107
Main Authors: Kumar, Anil, Bhargavi, D., Siddheshwar, P. G.
Format: Article
Language:English
Subjects:
Base flow
Complex Systems
Condensed Matter Physics
Dissipation
Flow stability
Fluid flow
Fluid- and Aerodynamics
Physics
Physics and Astronomy
Porous media
Porous media flow
Regular Article - Computational Methods
Rolls
Solid State Physics
Stability analysis
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Summary: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. Graphical abstract
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/s10051-024-00738-9