Magnetogravitational instability of thermally conducting rotate.ng viscoelastic fluid with Hall current in Brinkman porous medium.

Abstract

Magnetohydrodynamic instability of a self-gravitating, thermally finitely conducting, Rivlin-Ericksen viscoelastic fluid rotating in a general direction through a Brinkman porous medium in the presence of Hall current and vertical magnetic field was investigated. A general dispersion relation has been derived through relevant linearized perturbation equations. The cases when the axes of rotation were parallel or perpendicular to the direction of magnetic field were investigated separately for both longitudinal and transverse wave propagations. It has been observed that a condition of instability is determined by Jean's criterion in its modified form. The effects of various parameters on the stability of this system are studied numerically, and they showed that different behaviors depend on the corresponding case, as summarized in the Conclusions section.