Unsteady MHD free convection flow of a heat absorbing dusty fluid past a flat plate with ramped wall temperature

Unsteady free convection boundary layer flow of a viscous, incompressible and electrically conducting dusty fluid past an impulsively moving vertical flat plate with ramped temperature in the presence of heat absorption and transverse magnetic field is studied. An exact solution of the two phase flow and heat transfer model is obtained with the help of Laplace transform technique. To compare the results obtained in case of a flow past a flat plate with ramped temperature with that of isothermal plate, exact solution of the model is also obtained for isothermal plate. The expressions for the Nusselt number and skin-friction are also derived for both ramped temperature and isothermal plates. The effects of various flow parameters on the two phase flow model are analyzed with the help of suitable graphs and tables. © 2013 African Mathematical Union and Springer-Verlag Berlin Heidelberg.