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Journal of Porous Media
IF: 1.49 5-Year IF: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.2018017559
pages 679-699

THERMAL INSTABILITY OF PARTIALLY IONIZED VISCOUS PLASMA WITH HALL EFFECT FLR CORRECTIONS FLOWING THROUGH POROUS MEDIUM

Sachin Kaothekar
Department of Engineering Physics, Mahakal Institute of Technology, Ujjain (M. P.) 456664, India

ABSTRACT

The problem of thermal instability is investigated for partially ionized thermal plasma, which has a connection in astrophysical condensations and is responsible for formation of objects in an astrophysical plasma environment. Using relevant linearized perturbation equations, a general dispersion relation has been derived with the help of the normal mode analysis technique. To argue the consequences of different physical parameters on the thermal instability criterion, the general dispersion relation is reduced in longitudinal and transverse modes of propagation. Effects of radiative heat-loss function, finite ion Larmor radius (FLR) corrections, and collisions with neutrals on the thermal instability criterion of the system are discussed. The conditions of thermal instability are derived for a heat-loss function with thermal conductivity and FLR corrections for some particular cases. The Routh-Hurwitz criterion has been used to discuss the stability of the system. Numerical calculations have been performed to discuss the dependence of the growth rate of the thermal instability on the various physical parameters. The viscosity, FLR corrections, magnetic field, and neutral collision have a stabilizing influence; whereas, permeability has a destabilizing influence on the thermal instability of the system. Our results are helpful for understanding the process of MHD flow of fluid through a porous medium and structure formation in an astrophysical plasma environment.


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