Abstract
The flow of an infinitely extending homogenous self-gravitating thermally conducting fluid permeated through porous medium by a variable magnetic field has been investigated. The combined effect of several physical parameters, namely Hall current, finite conductivity, kinematic viscosity, thermal conductivity, nonextensive parameter as well as the porosity and permeability of porous medium on the system instability is studied in the framework of Tsallis statistics. The stability of the system is discussed both analytically and numerically. It is found that the Hall current and Alfven velocity have destabilizing effects while the medium permeability and porosity of porous medium have slightly destabilizing and stabilizing effects, respectively, and all other physical parameters have stabilizing effects, and also that the system has more stabilizing effect in the presence of porous medium than its effect in absence of porous medium. Keywords. Hydromagnetic stability; Tsallis'nonextensive theory; Jeans'instability; Thermal conductivity; Self-gravitating system; Hall current, Porous media.
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