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Gravitational Instability of Fluid of Finite Electrical and Thermal Conductivity Flowing through Porous Medium
Author(s) -
Vaghela D. S.,
Chhajlani R. K.
Publication year - 1987
Publication title -
beiträge aus der plasmaphysik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0005-8025
DOI - 10.1002/ctpp.19870270304
Subject(s) - instability , porous medium , magnetic field , porosity , physics , thermal conductivity , mechanics , gravitational field , dispersion relation , perturbation (astronomy) , classical mechanics , condensed matter physics , materials science , thermodynamics , composite material , quantum mechanics
In view of the importance of porosity in astrophysical context the problem of gravitational instability of fluid of finite electrical and thermal conductivity flowing through porous medium is studied. Equations of the problem are stated and from them linearized perturbation equations are derived. Dispersion relations are obtained and Jeans' criterion of instability is discussed taking properties of the medium in different combinations for parallel and perpendicular directions to the magnetic field. Thermal conductivity modifies the Jeans' expression. Magnetic field and porosity of the medium also modify the Jeans' expression in case of wave propagation in perpendicular direction to the magnetic field but finite electrical conductivity neutralizes the effect of porosity on Jeans' criterion of instability.