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Stability analysis of partially ionized plasma in a porous medium with local thermal non-equilibrium effects

Published online by Cambridge University Press:  03 January 2025

Vishal Chandel Open the ORCID record for Vishal Chandel [Opens in a new window]  and
Sunil Open the ORCID record for Sunil [Opens in a new window]
Vishal Chandel*
Affiliation:
Department of Mathematics and Scientific Computing, National Institute of Technology Hamirpur, Hamirpur 177005, India
Sunil
Affiliation:
Department of Mathematics and Scientific Computing, National Institute of Technology Hamirpur, Hamirpur 177005, India
*
†Email address for correspondence: [email protected]
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Abstract

This study investigates the impact of local thermal non-equilibrium on the stability analysis of partially ionized plasma within a porous medium. The plasma, heated from below, is enclosed by various combinations of bounding surfaces. Both nonlinear (via the energy method) and linear (utilizing the normal mode analysis method) analyses are performed. Eigenvalue problems for both analyses are formulated and solved using the Galerkin method. The study also explores the effects of compressibility, medium permeability and magnetic fields on system stability. The collisional frequency among plasma components and the thermal diffusivity ratio significantly influence energy decay. The results reveal that the Rayleigh–Darcy number is identical for both nonlinear and linear analyses, thus eliminating the possibility of a subcritical region and confirming global stability. The principle of exchange of stabilities is validated, indicating the absence of oscillatory convection modes. Medium permeability, heat-transfer coefficient and compressibility delay the onset of convection, demonstrating stabilizing effects. Conversely, the porosity-modified conductivity ratio hastens the convection process, indicating destabilizing effects. Rigid–rigid bounding surfaces are found to be thermally more stable for confining the partially ionized plasma. Additionally, the magnetic field exerts a stabilizing influence.

Keywords

plasma dynamicsplasma instabilitiesplasma heating
Type
Research Article
Information
Journal of Plasma Physics , Volume 91 , Issue 1 , February 2025 , E1
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Copyright
Copyright © The Author(s), 2025. Published by Cambridge University Press

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