Application of viscous fluid in biological system

The present study is devoted to study the flow of an in compressible, viscous, electrically conducting fluid in the presence of transverse magnetic field. The governing equations of motion in terms of cylindrical polar coordinates are reduced to an ordinary differential equation by using dimensionless parameters and then solved analytically. Exact solutions for the axial velocity, flow rate and dynamic viscosity are presented. The main result of this work is that, the effect of the magnetic field is to decrease the flow rate and changes the velocity profile. Magnetohydrodynamics blood flow in a narrow tube is taken as an example of this type of flow and is described using two layered (two-phase) model. Bluntness appears in velocity profile and this bluntness decrease by increasing magnetic field. The decreasing in flow rate is due to an increase in the apparent viscosity of blood due to the magnetic field.