Blood flow in a steady magnetic field has been of great interest over recent years. Many researchers have examined the effects of magnetic fields on velocity profiles and major studies have focused on the effects of magnetic field on the blood apparent viscosity. In this paper, the magnetohydrodynamic blood flow in a narrow tube is described using the two-layered model. The model consists of a central core region enriched with various types of blood cells and a cell-free layer surrounding the core. Exact solutions for the axial velocity, flow rate, and apparent viscosity are presented. The main result of the present study is that the effect of the magnetic field is to decrease the blood flow rate. The decrease in the flow rate is due to an increase in the apparent viscosity of the blood due to the magnetic field. The results are presented graphically and the effect of the magnetic field on the apparent viscosity is discussed and compared with reported literature values. |
