Hydromagnetic flow of generalized Newtonian fluid through a uniform tube with peristalsis

We have analyzed the mechanics of peristaltic pumping of a non-Newtonian fluid through an axisymmetric conduit subjected to a constant transverse magnetic field. The material represented by the constitutive equation for a power-law fluid. A perturbation series in dimensionless Hartmann number (M < 1) was used to obtain explicit forms for the velocity field and relation between the flow rate and pressure gradient, in terms of the dimensionless power-law index and the occlusion. The expressions for the pressure rise and friction force on the wall of tube (small intestine) were computed numerically and were plotted with variation of the flow rate for different values of power-law index, Hartmann number and amplitude ratio. The results were compared with other studies, in both Newtonian and non-Newtonian cases.