Title: Effect of magnetic field and rotation on the micropolar fluid model of blood flow through stenotic arteries

Authors: Ajaz Ahmad Dar; K. Elangovan

Addresses: Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu, India ' Mathematics Section, FEAT, Annamalai University, Annamalainagar, Tamil Nadu, India

Abstract: The problem of blood flow through a horizontal non-symmetric artery with a mild stenosis has been investigated. Blood is modelled as a homogeneous and incompressible micropolar fluid. The effect of both rotation and magnetic field are studied analytically and computed numerically. To evaluate the influence of the stenosis shape, an appropriate geometry has been considered such that the shape of the stenosis can be changed simply just by varying a parameter (referred to as the shape parameter). The expressions for the flow characteristics such as velocity, the impedance (resistance to flow), the wall shear stress distribution and its magnitude at the stenosis throat have been derived and analysed for different values of shape parameter n, rotation parameter ω, the magnetic field parameter M, the coupling number N and the micropolar fluid parameter m.

Keywords: micropolar fluid; magnetic field; blood flow; rotation; stenosed artery.

DOI: 10.1504/IJBET.2018.089310

International Journal of Biomedical Engineering and Technology, 2018 Vol.26 No.2, pp.171 - 185

Received: 25 May 2016
Accepted: 26 Aug 2016

Published online: 17 Jan 2018 *

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