Mathematical model for bingham flow properties of blood in uniform tapered tube

The stenosis and non-Newtonian property of the  uid in the blood  ow represent the behavior of Herschel- Buckley  uid. In a tapered tube model all the vessels which carry blood towards the tissues are considered as long and its one end slowly tapering cones rather than cylinders. Since the blood  ow consist of two regions in which one is central region, consist of concentrated blood cells and its behavior is non-Newtonian and other region is peripheral layer of plasma which represent the Newtonian behavior of  uid motion. In present paper, we have considered the Bingham  uid model and study the  ow of blood in a uniform tapered tube and obtained conditions and its variation in various graphs for shear stress and pressure gradient.

Keywords:

Newtonian Fluid , Blood Flow , wall shear stress , tapered vessel , Stenosis , Bingham Model