Eur. Phys. J. Special Topics 228, 2695–2712 (2019)
https://doi.org/10.1140/epjst/e2019-900059-9

Regular Article

Modeling of Au(NPs)-blood flow through a catheterized multiple stenosed artery under radial magnetic field

¹ Department of Mathematics and statistics, Faculty of Science, Taif University, Taif, 888, Saudi Arabia
² Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt

^a e-mail: thanaa_1@yahoo.com

Received: 21 March 2019
Received in final form: 14 May 2019
Published online: 6 December 2019

Abstract

This paper introduces a theoretical study of Au(NPs)-blood flow through a catheterized artery with multiple stenosis under radial magnetic field effect. Blood is modeled as Newtonian fluid. Based on mild stenosis assumptions, the governing equations of gold nanoparticles blood flow model are simplified and solved analytically. Exact solution for axial velocity is obtained by using Cauchy Euler method. Solutions for temperature, wall shear stress, resistance impedance are introduced and plotted through graphs for pertinent flow and geometric parameters. The results show that Au(NPs) can enhance blood flow through stenosed artery while applying strong radial magnetic field can discourage blood flow through it.