Table of Contents
Journal of Fluids
Volume 2014, Article ID 757902, 13 pages
http://dx.doi.org/10.1155/2014/757902
Research Article

Pulsatile Non-Newtonian Laminar Blood Flows through Arterial Double Stenoses

School of Engineering & Applied Science, Department of Electrical & Computer Engineering, North South University, Dhaka 1229, Bangladesh

Received 8 March 2014; Accepted 6 May 2014; Published 29 May 2014

Academic Editor: Kuo-Kang Liu

Copyright © 2014 Mir Golam Rabby et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The paper presents a numerical investigation of non-Newtonian modeling effects on unsteady periodic flows in a two-dimensional (2D) pipe with two idealized stenoses of 75% and 50% degrees, respectively. The governing Navier-Stokes equations have been modified using the Cartesian curvilinear coordinates to handle complex geometries. The investigation has been carried out to characterize four different non-Newtonian constitutive equations of blood, namely, the (i) Carreau, (ii) Cross, (iii) Modified Casson, and (iv) Quemada models. The Newtonian model has also been analyzed to study the physics of fluid and the results are compared with the non-Newtonian viscosity models. The numerical results are represented in terms of streamwise velocity, pressure distribution, and wall shear stress (WSS) as well as the vorticity, streamlines, and vector plots indicating recirculation zones at the poststenotic region. The results of this study demonstrate a lower risk of thrombogenesis at the downstream of stenoses and inadequate blood supply to different organs of human body in the Newtonian model compared to the non-Newtonian ones.