Magnetic fluid model induced by peristaltic waves

To understand theoretically the flow properties of physiological fluids, we have considered as a model of the peristaltic motion in a tube, with a sinusoidal wave of small amplitude traveling down its wall. The mathematical model considers a viscous incompressible fluid under the effect of a transverse magnetic field. The wavelength of the traveling wave is taken to be large. The expressions for the stream function, the axial velocity, the pressure gradient and the pressure rise per wavelength have been obtained. The results obtained in the analysis have been evaluated analytically and discussed with the help of graphs. The significance of the Hartmann number has been pointed out by comparing the results with hydrodynamic case. Further, the analogy between the magnetohydrodynamic fluid and hydrodynamic fluid in a porous medium has also been considered.