• MATHEMATICAL MODELING OF HERSCHEL-BULKLEY MODEL OF BLOOD FLOW THROUGH STENOSED ARTERIES

Abstract

Blood flow through a stenosed artery has been investigated in this paper. The present paper contains a study of blood flow in arteries from the heart keeping in view the nature of blood flow circulation in human body. Blood has been represented by a non-Newtonian fluid obeying Herschel-Bulkley equation. The usual blood flow in arteries is obstructed by abnormal tissue development on the walls of these vessels, called as stenosis in bio transport system. There will be a plug flow (the flow in the entry length portion consists of two parts. First part is called boundary layer flow and second part is called plug flow or core flow) on the axis of blood vessels which produces yield stress. An improved shape of the time-varient stenosis present in the tapered arterial lumen is given mathematically in order to update resemblance to the in vivo situation. Integral method has been used to solve the unsteady non linear Navier- Stokes equations in cylindrical coordinates system governing flow assuming axial symmetry under laminar flow condition. The effect of the stenosis geometry is assumed to overshadow any influence of wall distensibilty.