mhd peristaltic slip flow of casson fluid and heat transfer in channel filled with a porous medium

We examine the effect of velocity slip on hydromagnetic peristaltic flow of a casson fluid and heat transfer through an asymmetric channel fluid filled a porous medium.the model governing equations are obtained, simplified using long wavelength and low reynolds number assumptions and then tackled analytically.numerical result for effects of embedded parameters on the stream function, axial velocity, pressure drop, temperature, skin friction and nusselt number are presented graphically and discussed. it is found that thepermeability parameter enhances the size of the trapped bolus while velocity slip diminishes it. a rise in magnetic field intensity and cason fluid parameters decrease the both velocity and temperature profiles.the present problem is of substantial importance in crude oil refinement and biomedical engineering.