Unsteady Hydromagnetic Gas Flow Along an Inclined Plane With Indirect Natural Convection in the Presence of Thermal Radiation

Abstract

The Numerical solution of an unsteady gravity-driven thermal convection flow of a viscous incompressible, electrically-conducting, absorbing-emitting, optically-thick gray gas along an inclined plane in the presence of thermal radiation and a transverse magnetic field effects are carried out. The Rosseland diffusion flux model is employed to simulate thermal radiation effects. The momentum and energy conservation equations are non-dimensionalzed and solved by using Ritz finite element method. The effects of Prandtl number $(P_{r} )$, Boltzmann-Rosseland radiation parameter $(K_{1} ),$ Hartmann number squared $(M^{2} ),$ porosity parameter $(K),$ Grashof number $(G_{r} ),$ time parameter $t$ and plate inclination $(a)$ on the velocity $(u)$ and temperature $(\theta )$ distributions are studied. Results obtained show that a decrease in the velocity and temperature occurs when Prandtl number and Hartmann number square root are increased. The velocity and temperature enhanced as Boltzmann-Rosseland radiation parameter and Grashof number are increased.