PERISTALTIC TRANSPORT OF A MAGNETO-NEWTONIAN FLUID THROUGH A POROUS MEDIUM

Abstract

Peristaltic motion of an incompressible Newtonian fluid through a porous medium is studied in a two-dimensional uniform channel with a sinusoidal wave on its wall. The fluid is subjected to constant transverse magnetic field. Using a perturbation expansion on the wave number as a parameter, the velocity field and the pressure gradient are obtained in explicit form. Moreover, the pressure rise and the friction force were computed numerically. The results show that the pressure rise increases as the permeability decreases and it increases as the magnetic parameter increases. Further, it is noted that both pressure rise and friction force does not depend on permeability parameter as well as magnetic parameter at a certain value of flow rate. The results were studied for various values of the physical parameters of interest.