In uence of an External Magnetic Field on the Peristaltic Flow of a Couple Stress Model of Blood Flow Through a Porous Medium

Abstract. Magnetohydrodynamic(MHD) peristaltic ow of a Couple Stress model of blood ow through a permeable channel is examined in this investigation. The ow analysis is per- formed in the presence of an External Magnetic Field. Long wavelength and low Reynolds number methodology is actualized. Mathematical expressions of axial velocity, pressure gradi- ent and volume ow rate are obtained. Pressure rise, frictional force and pumping phenomenon are portrayed and symbolized graphically. The elemental characteristics of this analysis is a complete interpretation of the in uence of Couple Stress Parameter, magnetic number, non dimensional amplitude ratio and permeability parameter on the velocity, pressure gradient, pressure rise and frictional forces.