Penetrative ferro-thermal-convection in high porosity anisotropic porous layer via internal heating

The onset of penetrative Ferro-Thermal-Convection (FTC) in a ferromagnetic fluid via internal heating studied for high porosity anisotropic horizontal porous layers. The eigen value problem is solved using a Galerkin technique based on the weighted residual method. The boundary conditions are included lower and upper boundary rigid-isothermal case. The governing parameters for the problem are the ratio of thermal diffusivity (η) increases is to postponement the onset of FTC, while strength of magnetic number (M₁), non-linearity of fluid magnetization (M₃), Darcy number (Da) and strength of internal heat source ( Ns) increases is to destabilize the system. The buoyancy and magnetic forces complement with each other and always found R_tc < R_mc. The critical Rayleigh number R_tc for the case of η = 1 and η ≠ 1 obtained by the analysis agreed well with of Shiina and Hishida [1] in the absence of magnetic field.