MHD natural convection flow past an impulsively moving vertical plate with ramped wall temperature in the presence of thermal diffusion with heat absorption

Hydromagnetic natural convection flow of a viscous incompressible electrically conducting and heat-absorbing fluid past an impulsively moving vertical plate with ramped wall temperature in a porous medium, in the presence of thermal diffusion, is studied. The exact solution of momentum and energy equations, under the Boussinesq approximation, is obtained in closed form by the Laplace transform technique. The expressions for the skin friction and Nusselt number are also derived. The variations in fluid velocity and temperature are shown graphically whereas numerical values of skin friction and the Nusselt number are presented in tabular form for various values of pertinent flow parameters. The natural convection flow near a ramped temperature plate is also compared with the flow near an isothermal plate.