Effects of MHD on Peristalsis Transport and Heat Transfer with Variables Viscosity in Porous Medium

The paper is a study on the peristaltic transport of a magnetohydrodynamic fluid in an asymmetric tapered channel with porous medium. The study is the prominent motivated for the phenomenon of peristalsis in the flow of some physiological fluids in the human body devices. The viscosity of the fluid is dependent on temperature. The basic problems associated with heat and mass transfer during the fluids flow. The study has been carried out for long wavelength of the peristaltic motion. By using perturbation technique, series solutions have been obtained for stream function, velocity, pressure gradient, shear stress and pressure rise per wavelength with low Reynolds number. It is seen that the results of the study reveals that the pressure gradient is decrease with increasing of Hartmann number and the thermal radiation parameter and mean flow rate, but increases with increasing the slip velocity. The average rise in pressure increases with the increase of Grashof number while it decreases by increasing of Hartmann number. The velocity is increasing with increase of Hartmann number and the thermal radiation parameter at the core part of the channel. The study reveals also that the volume of the trapping bolus increases with increases of Reynolds model viscosity, while decreasing with increase of Hartmann number. In order to illustrate the validity of the theoretical study, numerical results have been computed by using MATHEMATICA software.