Two-Layered Two-Phase Magnetohydro-Dynamic Fluid Model of Blood Flow Through Narrow Circular Vessels

Abstract

A two-layered two-phase magnetohydrodynamic model for blood °ow through a narrow circular vessel under the in°uence of uniform transverse magnetic ¯eld has been developed. It is assumed that the core region is the suspension of all the erythrocytes in plasma °uid and a peripheral layer of cell-free plasma. Ana- lytical expressions for velocity pro¯les of plasma and cells in both regions along with °ow rate, e®ective viscosity and resistance to °ow have been obtained. Results have been evaluated numerically for various values of the rheological parameters available from published works and discussed graphically. It may be noticed that the e®ective viscosity decreases/increases with increasing pheriph- eral layer thickness/Hartman number. This is good agreement to the published works related to dialysis.