Heat transfer analysis in MHD flow of casson fluid over a vertical plate embedded in a porous medium with arbitrary wall shear stress

Abstract

Heat transfer analysis in unsteady MHD flow of Casson fluid over a vertical plate is analyzed. The plate with arbitrary wall shear and constant temperature is embedded in a porous medium. The problem is modeled in terms of partial differential equations with some physical conditions. Due to an increasing Casson parameter the velocity rises near the plate whereas it decreases far from the plate. This problem accepts exact solutions, which are obtained using the Laplace transform technique. These solutions are expressed in terms of exponential functions and complementary error functions of Gauss. Some limiting solutions are also deduced. The velocity of fluid is found to decrease with increasing constant wall shear stress and decreases with increasing magnetic parameter. Graphical results are plotted and discussed for embedded parameters.