Numerical study of Blood Hemodynamic and Heat Transfer in Catheterized Multiple Stenosis Artery

Abstract

A non-Newtonian model of blood flow through an artery multiple with a mild smooth axisymmetric contraction (stenosis) centered at (x/L = 0.6, 0.7, 0.8 and 0.9) for Reynolds number values of (Re_b= 60, 80, 100 and 120) with intravascular catheter cooling is investigated numerically. Cross model chosen as blood viscosity model. The flow assumed to be steady, laminar, two-dimensional and axially symmetric. The governing equations of motion and energy in terms of the viscous shear stress and boundary conditions in cylindrical coordinate system transformed using a radial coordinate transformation before they discretized using a finite difference scheme based on central difference approximations on non-uniform grids. The present numerical results obtained in terms of blood flow and thermal characteristics shown that the friction factor increased by 52 % and the Nusselt number by 43% with increasing the stenosis height from 0 to 16.5 %. In addition, the increasing stenosis height caused to increase the dimensionless flow impedance, axial velocity and shear rate along the artery and the catheter walls. However, the presence of multi stenosis in the artery will cause to increase the impedance of the flow.