Pulsatile MHD Arterial Blood Flow in the Presence of Double Stenoses

Abstract

The hemodynamics provides a way to predict effect of atherosclerosis by means of mathematical models. The pulsatile flow of blood through an artery with two side-to-side axisymmetric stenoses has been considered. A static transverse magnetic field to the flow is taken into account. The velocity profile, Wall Shear Stress and Wall Shear Stress Gradient to the flow have been simulated under the influence of magnetic field for various values of length and thickness of the stenosis. The upstream flow velocity in the subsequent stenosis region is significantly lower down from the velocity in the preceding stenosis region. The flow velocity decreases with the increase of Hartmann number. In the stenosis region wall shear stress (WSS) increases from unstenosed region to maximum thickness of stenosis. The wall shear stress (WSS) increases with the increase of Hartmann number and Womersley number. The WSSG have local maximum value in the vicinity of the throat of the stenoses and oscillates in the stenosed portion of the artery. The magnitude of WSSG is directly proportional to the Hartmann number. WSSG increases in magnitude on the upstream and downstream section of both the stenoses with the increase of Womersley number. Generated data are analyzed and discussed through graphs.

Keywords

• Stenosed artery
• Unsteady flow
• Newtonian incompressible fluid
• Hartmann number
• Wall shear stress
• Wall shear stress gradient.