Influence of body acceleration in blood flow through narrow arteries with multiple constrictions — A mathematical model

The pulsatile flow of blood in narrow arteries with multiple axi-symmetric stenoses under the influence of periodic body acceleration is analyzed, treating blood as Herschel-Bulkley fluid. The non-linear partial differential equations are solved using perturbation method. The effects of various parameters involved stenosis depth, pressure gradient, power law index, body acceleration and other various parameters on these flow quantities are discussed through appropriate graphs. It is found that the plug core radius decreases with the increase of the body acceleration and it increases with the increase of the yield stress and depth of the stenoses. It is also noted that the velocity decreases with the increase of the power law index, yield stress, depth of the stenoses and it increases with the increase of the body acceleration. It is noted that the flow rate decreases with the increase of the stenoses depth, yield stress and it increases with the increase of the body acceleration. The longitudinal impedance decreases with the increase of the body acceleration parameter. Copyright © 2014 IET Chennai Network -All rights reserved.