Numerical Solution of Two Layered Magneto Hydrodynamic Blood Flow through Parallel Plates

摘要

In the present paper, a two-layered magneto hydrodynamic model for parallel plate hemodialyses has been investigated under the influence of a uniform transverse magnetic field. The velocity profiles in the core region and peripheral plasma layer along with flow rate, effective viscosity and effective Reynolds number have been obtained by using finite difference method. We have also discussed some interesting limiting cases. We may notice that the flow of suspensions has the tendency to leave a particle free layer near the wall, there by decreasing the effective viscosity. This may be used in reducing the dialysis time. Plasma exposure area to the membrane increases due to the movement of red cells towards the centre. Also the membrane exposure area increases further due to reduced blockage of membrane pores by the red cells. These two factors further help in reducing the dialysis time and the cell injury.