Thermal Radiation Effects on Unsteady MHD Natural Convection Flow Past an Infinite Inclined Plate with Ramped Temperature

A theoretical study of the effects of thermal radiation and magnetic field on unsteady natural convection flow adjacent to an infinite inclined plate subject to a temperature boundary condition which follows a ramp function up until a specified time and then remains constant is presented. Closed form analytical solutions have been derived for the momentum and energy equations with the help of Laplace transform technique. A parametric study of all parameters involved is conducted, and the variations in fluid velocity are shown in graphs whereas the numerical values of skin-friction are presented in tabular form. The results obtained from the present study are compared with the results obtained for an infinite inclined plate with constant temperature.