Effect of Coriolis Force and Magnetic Field on Thermal Convection in an Anisotropic Porous Medium

Nadia Diana Mohd Rusdi; Nor Fadzillah Mohd Mokhtar; Norazak Senu; Siti Suzilliana Putri Mohamed Isa

Authors

Nadia Diana Mohd Rusdi Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research (INSPEM), UPM, Malaysia
Nor Fadzillah Mohd Mokhtar Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research (INSPEM), UPM, Malaysia
Norazak Senu Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research (INSPEM), UPM, Malaysia
Siti Suzilliana Putri Mohamed Isa Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research (INSPEM), UPM, Malaysia

Keywords:

Anisotropic Porous Medium, Coriolis force, Magnetic field, Chebyshev Tau Method

Abstract

Effect of Coriolis force and magnetic field on thermal convection in an anisotropic porous medium has been studied numerically. Linear stability analysis has been implemented to verify the presence of Coriolis force and magnetic field on the thermal convection in a horizontal anisotropic porous medium heated from below. The Darcy model is used for the momentum equation and Boussinesq approximation is considered for the density variation in the porous medium. The eigenvalue problemsof the perturbed state were obtained from a normal mode analysis and solved using Chebyshev Tau method numerically with respect to upper free conducting andlower free conducting boundary condition. By using Fortran software, it is found that the thermal anisotropy parameterdestabilized the system while the effect of Coriolis force and magnetic field help to stabilize the system and can delay the onset of convection andmechanical anisotropic parameter advanced the onset of convection in thesystem.