A Two Phase Mathematical Model of Fluid Flow through Bell Shaped Stenotic Artery

Abstract

The present research paper concerns with a two phase fluid flow, consists an acentric plasma layer region free from red cells and a central core region represented by Hershel – Bulkley fluid through a bell shaped stenosed artery. Mathematical expressions for characteristics of blood flow namely core velocity (uc), peripheral velocity ( up), shear stress at wall ( ) and total volumetric fluid flow rate (Q) have been estimated and depicted graphically . The effect of shape parameter peripheral layer viscosity, on these characteristics has been depicted with graphs. It has been noticed that the fluid flow rate (Q) and shear stress at wall ( ) decreases as the increases of peripheral layer viscosity.