Unsteady hydromagnetic free convection flow of a viscous, incompressible, electrically
conducting, optically thick radiating and heat absorbing fluid past an accelerated moving vertical
plate with variable ramped temperature is investigated. Exact solution of the governing equations for
the fluid velocity and fluid temperature are obtained by Laplace transform technique. The numeri-
cal values of primary and secondary fluid velocities and fluid temperature are displayed graphically
whereas those of shear stress and rate of heat transfer at the plate are presented in tabular form for
various values of pertinent flow parameters.