Gravitational instability of a thermally-conducting plasma flowing through a porous medium in the presence of suspended particles
type: Item
instance of: scholarly article
title: Gravitational instability of a thermally-conducting plasma flowing through a porous medium in the presence of suspended particles
zbMATH Open document ID: 0667.76073
DOI: 10.1007/BF00639801
author: M. K. Vyas
author: R. K. Chhajlani
published in: Astrophysics and Space Science
publication date: 1988-01-01T00:00:00Z
review text: Magnetogravitational instability of a thermally-conducting, rotating plasma flowing through a porous medium with finite conductivity and finite Larmor radius in the presence of suspended particles has been investigated. The wave propagation has been considered for both parallel and perpendicular axes of rotation. Magnetic field is being taken in the vertical direction. A general dispersion relation has been derived through relevant linearized perturbation equations. It has been observed that the condition of instability is determined by the Jeans's criterion in its modified form. Thermal conductivity replaces the adiabatic velocity of sound by the isothermal one. Rotation decreases the Larmor radius. Porosity decreases the Alfvén velocity. In case of a viscous medium the effects of FLR, rotation, and suspended particles are not observed in the Jeans's condition, for transverse propagation for rotational axis parallel to the magnetic field. The effects of rotation and FLR are decreased by the porosity and the suspended particles. Finite conductivity removes the Alfvén velocity from Jeans's condition.
Mathematics Subject Classification ID: 76E25
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 4093026
zbMATH Keywords: Magnetogravitational instability
zbMATH Keywords: thermally-conducting, rotating plasma flowing
zbMATH Keywords: finite Larmor radius
zbMATH Keywords: Magnetic field
zbMATH Keywords: linearized perturbation equations
zbMATH Keywords: Jeans's criterion
MaRDI profile type: Publication
cites work: Magnetohydrodynamic Equations for Finite Larmor Radius
cites work: Some effects of suspended particles on the onset of Bénard convection
cites work: Magnetogravitational instability of an infinite homogeneous rotating plasma through a porous medium with finite electrical and thermal conductivities
full work available at URL: https://doi.org/10.1007/bf00639801
OpenAlex ID: W1967479334
description: scientific article; zbMATH DE number 4093026