Bingham Plastic Fluid Model for Steady Flow of Blood with Velocity Slip Tube Wall in Presence of Magnetic Field

-In this study, the effect of magnetic field on poiseuille flow of Bingham plastic fluid model for blood with velocity slip and no slip is examined. In this modeling, an interaction of non-Newtonian nature of blood and its flow through arteries (aorta, femoral, carotid, coronary and arteriole), in presence of wall slip has been attempted. Effort has been made to indicate the behavior of flow variation with Hartmann number. The application of Magneto dynamics in physiological flow problem is of growing interest. The flow of blood can be controlled by applying magnetic field. Mathematical modeling for poiseuille flow of blood (-a Bingham plastic fluid model) with an axial velocity slip along an artery wall in presence of magnetic field, is considered. It is observed that when Hartmann number increases the fluid velocity is greatly affected. The present model includes the poiseuille flow models of slip and no slip at artery wall and one- layered Bingham plastic fluid model with zero-slip, as its special cases. Applications of this theoretical modeling to cardiovascular diseases and the role of slip in the better functioning of the diseased or occluded arteries are included in brief.