Effects of oscillatory motion of a visco-elastic dusty fluid (blood) through arteries under the influence of magnetic field with porous medium

Abstract

In this paper, we study oscillatory flow of Visco-elastic dusty fluid in blood flow through an artery. Solid and spherical non-conducting dust particles (the cells) are assumed to be the micro particles which are structural components of cells (RBC, WBC, Platelets) present in the blood( fluid) are distributed symmetrically.. Governing equations are solved analytically by using Bessel function and using different values of parameters on the axial velocity(ub vd ), volumetric flow rate (Qb, Qd) and wall shear stress (τwb, τwd) for both the blood flow and dust particles through human artery are discussed through graphs. The results revealed that the velocity of blood, flow rate and shear stress increases when increasing the value of Visco-elastic parameter and it decreases as magnetic parameter value increases.