Peristaltic transport of MHD flow and heat transfer in an asymmetric channel: Effects of variable viscosity, velocity-slip and temperature jump

In this article, a theoretical study is presented for peristaltic flow of a MHD fluid in an asymmetric channel. Effects of viscosity variation, velocity-slip as well as thermal-slip have been duly taken care of in the present study. The energy equation is formulated by including a heat source term which simulates either absorption or generation. The governing equations of motion and energy are simplified using long wave length and low Reynolds number approximation. The coupled non-linear differential equations are solved analytically by means of the perturbation method for small values of Reynolds model viscosity parameter. The salient features of pumping and trapping are discussed with particular focus on the effects of velocity-slip parameter, Grashof number and magnetic parameter. The study reveals that the velocity at the central region diminishes with increasing values of the velocity-slip parameter. The size of trapped bolus decreases and finally vanishes for large values of magnetic parameter.