An implicit finite difference scheme for analyzing the effect of body acceleration on pulsatile blood flow through a stenosed artery

Subject Areas : Partial differential equations

A. Haghighi ¹ , N. Aliashrafi ² , N. Asghary ³

1 - Department of Mathematics, Faculty of shahid beheshti, Urmia Branch Technical and Vocational University(TVU), Tehran, Iran
2 - Department of Mathematics, Urmia University of Thechnology, Urmia, Iran
3 - Department of Mathematics, Islamic azad university, Central Tehran Branch, Tehran, Iran

Received: 2017-06-20 Accepted : 2017-09-10 Published : 2017-04-01

Keywords: Blood Flow, Stenosed Artery, Crank-Nicolson Scheme, Body acceleration,

Abstract :

With an aim to investigate the effect of externally imposed body acceleration on two dimensional,pulsatile blood flow through a stenosed artery is under consideration in this article. The blood flow has been assumed to be non-linear, incompressible and fully developed. The artery is assumed to be an elastic cylindrical tube and the geometry of the stenosis considered as time dependent, and a comparison has been made with the rigid ones. The shape of the stenosis in the arterial lumen is chosen to be axially non-symmetric but radially symmetric in order to improve resemblance to the in-vivo situations. The resulting system of non-linear partial differential equations is numerically solved using the Crank-Nicolson scheme by exploiting the suitably prescribed conditions. The blood flow characteristics such as the velocity profile, the volumetric flow rate and the resistanceto flow are obtained and effects of the severity of the stenosis, the body acceleration on these flow characteristics are discussed. The present results are compared with literature and found to be in agreement.

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