http://www.bioinfo.in/journalcontent.php?vol_id=926&id=211&month=6&year=2012 The present paper is devoted to study the flow of an incompressible, viscous, electrically conducting fluid in the presence of trans-verse 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 vis-cosity are presented. Graphical representations of the results in terms of dimensionless parameters are outlined. The main result of this work is that, the effect of the magnetic field is to decrease the velocity profile and flow rate. Therefore, the velocity profile becomes more parabolic. The blood flow in the presence of a transverse magnetic field is taken as an example of this type of flow. Magnetohydrodynamics (blood) flow in a narrow tube is described using two layered (two-phase) model. The model consists of a central core region enriched with various types of blood cells such as red blood cells (RBCs) and a cell free layer (plasma) surrounding the core. The bluntness appears in velocity profile and this bluntness decrease by increasing magnetic field.