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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Stability Analysis of Thermal Convection in Partially-Ionized Plasma Saturating a Porous Medium

Journal of Applied Nonlinear Dynamics 14(4) (2025) 835--846 | DOI:10.5890/JAND.2025.12.006

Vishal Chandel$^{1}$, Sunil$^{1} $, Reeta Devi$^2$

$^{1}$ Department of Mathematics and Scientific Computing, National Institute of Technology Hamirpur, Hamirpur- 177005, India

$^{2}$ Department of Mathematics, Govt. College Nagrota Bagwan, Kangra-176047, India

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Abstract

Thermal convection in partially-ionized plasma is crucial for understanding both astrophysical phenomena and laboratory processes. This study employs both linear and nonlinear analyses to investigate thermal convection within a partially-ionized plasma layer that saturates a porous medium. We use the energy method to analyse stability and apply normal mode analysis to determine instability. The Galerkin method is utilized to solve the resulting eigenvalue problems. The collisional effect significantly influences energy decay, and the principle of exchange of stabilities confirms the absence of oscillatory convection modes. Identical Rayleigh-Darcy numbers from both analyses establish global stability and rule out the possibility of subcritical regions. We find that compressibility and medium permeability delay the onset of thermal convection. Also, rigid-rigid bounding surfaces are found to be more thermally stable compared to free-free surfaces.

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