NATURAL CONVECTION FLOW PAST AN OSCILLATING PLATE WITH NEWTONIAN HEATING

An exact analysis of unsteady natural convection flow of viscous fluid past an oscillating plate with Newtonian heating is presented. The mathematical model with radiation effect in the energy equation is reduced to a system of linear partial differential equations. These equations are solved exactly using the Laplace transform technique. Expressions for the velocity and temperature are obtained. They satisfy all imposed initial and boundary conditions. As a special case, these solutions can be reduced to similar solutions in the existing literature. The skin friction and Nusselt number are evaluated analytically as well as numerically in a tabular form. Numerical results for velocity and temperature are shown graphically for various parameters of interest and the physics of the problem is well explored.