IJPAM: Volume 107, No. 1 (2016)

METALLIC NANOPARTICLES INFLUENCE ON
BLOOD FLOW THROUGH A STENOTIC ARTERY

Khaled S. Mekheimer$^1$, Mohamed S. Mohamed$^2$, Thanaa Elnaqeeb$^3$
$^{1,2,3}$Department of Mathematics and Statistics
Faculty of Science
Taif University
Hawia 888, Taif, SAUDI ARABIA
$^{1,2}$Department of of Mathematics
Faculty of Science
Al-Azhar University
Nasr City, Cairo, EGYPT
$^3$Department of Mathematics
Faculty of Science
Zagazig University
Zagazig, EGYPT


Abstract. A model of magnetohydrodynamic blood flow through an artery with a mild stenosis under the influence of metallic nanoparticles is presented. The coupled nonlinear partial differential equations governing the problem are simplified by subject to reasonable modeling and stenosis approximations to obtain analytic expressions for the flow characteristics. The expressions for velocity, temperature profile, stream function, flow resistance and wall shear stress distribution are obtained in the present analysis. Effects of some emerging physical parameters on arterial blood flow characteristics are shown graphically and discussed briefly under the influence of metallic nano particles (nanofluid model). Finally, stream line patterns illustrating size and number of trapping boluses are introduced and discussed for various imbedded parameters.

Received: November 27, 2015

AMS Subject Classification:

Key Words and Phrases: blood flow, arteries, metallic nanoparticles, overlapping stenosis, MHD

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