Hydromagnetic Natural Convection Flow With Radiative Heat Transfer Past an Accelerated Moving Vertical Plate With Ramped Temperature Through a Porous Medium

Unsteady hydromagnetic natural convection flow of an electrically conducting, viscous, and incompressible fluid past an accelerated moving vertical flat plate with ramped temperature through a porous medium in the presence of radiation and thermal diffusion is studied. The exact solutions of momentum and energy equations, under Boussinesq and Rosseland approximations, are obtained in closed form by Laplace transform technique. The expressions for skin friction and Nusselt number are also derived. The numerical values of fluid velocity and fluid temperature are shown graphically whereas that of skin friction and Nusselt number are presented in tabular form for various values of pertinent flow parameters. Natural convection flow near a ramped temperature plate is also compared with the flow near an isothermal plate.