Abstract
Abstract In this paper, the thermal instability of compressible Walters’ (Model B′) rotating fluid permeated with suspended particles (fine dust) in porous medium in hydromagnetics is considered. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the rotation, magnetic field, suspended particles and viscoelasticity introduce oscillatory modes. For stationary convection, Walters’ (Model B′) elastico-viscous fluid behaves like an ordinary Newtonian fluid and it is observed that rotation has stabilizing effect, suspended particles are found to have destabilizing effect on the system, whereas the medium permeability has stabilizing or destabilizing effect on the system under certain conditions. The magnetic field has destabilizing effect in the absence of rotation, whereas in the presence of rotation, magnetic field has stabilizing or destabilizing effect under certain conditions
Highlights
A detailed account of the thermal instability of a Newtonian fluid, under varying assumptions of hydrodynamics and hydromagnetics has been given by Chandrasekhar [1]
The Bénard problem for incompressible Rivlin–Ericksen rotating fluid permeated with suspended particles and variable gravity field in porous medium was studied by Rana and
The study is extended to the compressible Walters’ (Model B′) rotating fluid permeated with suspended particles in the presence of magnetic field in porous medium
Summary
A detailed account of the thermal instability of a Newtonian fluid, under varying assumptions of hydrodynamics and hydromagnetics has been given by Chandrasekhar [1]. (Model B′) elastico-viscous fluid in the presence of variable gravity field and rotation in porous medium. Sharma and Rana [12] have studied the thermosolutal instability of incompressible Walters’ (Model B′) rotating fluid in the presence of magnetic field and variable gravity field in porous medium. The Bénard problem (the onset of convection in a horizontal layer uniformly heated from below) for incompressible Rivlin–Ericksen rotating fluid permeated with suspended particles and variable gravity field in porous medium was studied by Rana and. Rana and Kango [14] have studied the effect of rotation on thermal instability of compressible Walters’ (Model B′) fluid in porous medium. The study is extended to the compressible Walters’ (Model B′) rotating fluid permeated with suspended particles in the presence of magnetic field in porous medium
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