Effect of heat transfer on the peristaltic transport of a MHD second grade fluid through a porous medium in an inclined asymmetric channel

This paper investigates the influence of heat transfer on the peristaltic transport of an incompressible magnetohydrodynamic second grade fluid through a porous medium in an inclined asymmetric channel. The flow is investigated in the wave frame of reference moving with the velocity of the wave. The solutions are obtained for the stream function, temperature and pressure gradient using the regular perturbation method by taking the wave number as the perturbation parameter. The pressure difference and frictional force are calculated through numerical integration. The influence of the inclination angle on the flow is discussed, and also the graphical results are presented for different wave forms. The present investigation results agree well with the existing literature. It is found that the velocity, temperature and trapping bolus increase with an increase of the inclination angle. The velocity increases with an increase of the heat generation parameter and Darcy number near the centre of the channel. An increasing Grashof number increases the pressure gradient. There is an increasing effect on the pumping with an increase of the inclination angle and Grashof number. The temperature decreases with an increase of the Hartmann number.