https://doi.org/10.1140/epjp/s13360-024-05663-5
Regular Article
Nonlinear and linear analysis for thermal convection in partially-ionized plasma saturating a porous medium in the presence of magnetic field
Department of Mathematics and Scientific Computing, National Institute of Technology Hamirpur, 177005, Hamirpur, Himachal Pradesh, India
a
vcvishal1950chandel@gmail.com
Received:
16
April
2024
Accepted:
14
September
2024
Published online:
25
September
2024
The influence of a magnetic field on thermal convection in partially-ionized plasma has profound implications in both astrophysical and laboratory environments. This study explores the impact of a magnetic field on thermal convection within a compressible, partially-ionized plasma layer saturating a porous medium, confined by various combinations of bounding surfaces. Additionally, the effects of medium permeability, collisional frequency and compressibility on the onset of thermal convection are examined. The study employs both nonlinear analysis, using the energy method, and linear analysis, via the normal mode approach, with eigenvalue problems formulated for each. Numerical analysis is performed using the Galerkin-weighted residual method. The findings highlight the significant role of collisional frequency in energy dissipation. Validation of the principle of exchange of stability in the linear analysis suggests the absence of oscillatory convection modes. Results demonstrate that the Rayleigh–Darcy number is the same across both nonlinear and linear analyses, indicating no subcritical region and confirming global stability. Furthermore, the study shows that the magnetic field, medium permeability and compressibility all contribute to delaying the onset of thermal convection. It also concludes that partially-ionized plasma confined between rigid–rigid boundaries exhibits greater thermal stability compared to other boundary configurations.
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© The Author(s), under exclusive licence to Società Italiana di Fisica 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.
