Magnetic field and Rotation effect on thermal stability in an Anisotropic couple-stress fluid saturated Porous Layer under presence of Cross-Diffusion

Abstract

Abstract The present paper is based on the investigation of thermal stability problem under the influence of rotation, solute, heat and magnetic field on electrically conducting fluid saturated rotating horizontal porous media under local thermal non-equilibrium effect. We have considered a rotating horizontal anisotropic porous medium saturated with binary fluid. Process of Heating and salting is made from above to the fluid layer.Governing equations is followed by Darcy Brinkman model for characterizing the convection through porous media under the above said physical configuration. Normal mode technique and Application of Linear stability analysis has been made under the consideration of free-free boundary conditions. Thereafter the characteristic graphs between critical Darcy-Rayleigh number and corresponding wave number for beginning of convection in stationary case has been drawn and the effect of rotation, magnetic and couple stress parameters has been illustrated.At last it has been observed the non-dimensonalise parametres regarding singnificant components like rotation magnetic field and anisotropic properties of the physical configuration in present study has stabilizing effect.