An Exact Solution of Unsteady MHD Free Convection Flow of a Radiating Gas Past an Infinite Inclined Isothermal Plate

The effect of thermal radiation on unsteady magnetohydrodynamic free convection flow of
an optically thin gray gas past an infinite inclined plate with constant temperature has been
investigated. The governing coupled partial differential equations are solved analytically using the
Laplace transform technique. The dimensionless velocity and temperature profiles are shown in
graphs and the numerical values of the non-dimensional skin-friction and Nusselt number are
presented in tables. The influence of the system parameters such as Prandtl number, inclination angle,
magnetic field parameter, Grashof number, radiation parameter and time on flow fields have been
discussed in detail. The results indicate that the inclination angle, magnetic field parameter and
radiation parameter effects were to decrease the fluid velocity along an inclined plate.