Outcomes of Uniform as well as Non-Uniform Temperature Profiles on the Onset of Double Diffusive Magneto-Darcy-Rayleigh-Benard Convection in a Two Layer set up in the presence of Local Thermal Non-Equilibrium

Outcomes of uniform as well non-uniform temperature profiles that is linear, parabolic, inverted Piecewise Linear Profile Heated from Below (PLHB), Cooled Above (PLCA) and Step Function (SF) profile on the onset Double Diffusive Magneto-Darcy-Rayleigh-Benard (DDMDRB) Convection in a two layer set up presence Local Thermal Non-Equilibrium with incompressible fluid horizontally surrounded by adiabatic rigid boundaries. Analytical solution to attained problem accomplished means regular perturbation technique. The consequences altering parameters namely phase thermal expansion ratio, solid diffusivity inter-phase solute Rayleigh number, Chandrasekhar ratio porous parameter have been elucidated graphically.