Research Article Numerical Simulation of Nonlinear Pulsatile Newtonian Blood Flow through a Multiple Stenosed Artery Satyasaran Changdar 1 and Soumen De 2 1 Institute of Engineering & Management, Saltlake, Kolkata 700101, India 2 Department of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700009, India Correspondence should be addressed to Satyasaran Changdar; satyasaran.changdar@iemcal.com Received 16 July 2015; Accepted 13 October 2015 Academic Editor: Abdelouahed Tounsi Copyright © 2015 S. Changdar and S. De. Tis 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. An appropriate nonlinear blood fow model under the infuence of periodic body acceleration through a multiple stenosed artery is investigated with the help of fnite diference method. Te arterial segment is simulated by a cylindrical tube flled with a viscous incompressible Newtonian fuid described by the Navier-Stokes equation. Te nonlinear equation is solved numerically with the proper boundary conditions and pressure gradient that arise from the normal functioning of the heart. Results are discussed in comparison with the existing models. 1. Introduction At present the investigation of blood fow analysis in a stenosed artery is very important in the medical domain because of the fact that many of the diseases such as heart attacks and strokes are related to blood fow and the physical characteristic of vessel wall. Nowadays the leading causes of the death in the world are due to heart diseases such as atherosclerosis. Atherosclerosis involves an accumulation of low-density lipoprotein in the wall of large arteries, typically where the wall shear rate is low and oscillatory [1]. Investigation of blood fow modeling through arterial multistenosis is very challenging. Accuracy of the simulation depends mainly on suitable numerical approach, realistic model geometry, and boundary conditions. Many investi- gators have focused their attention on blood fow through stenosed arteries with single stenosis by Mekheimer [2, 3], Chakravarty and Mandal [4], Lee and Xu [5], who pointed out that the mathematical model becomes more accurate in the presence of an overlapping stenosis instead of a mild one. Ang and Mazumdar [6] studied asymmetric arterial blood fow with numerical solution in three dimensions, and Ikbal et al. [7] have worked on unsteady response of non-Newtonian blood fow in magnetic feld without considering periodic body acceleration. Khler et al. [8] studied the wall shear stress with the help of magnetic resonance imaging (MRI) measurements of the velocity feld and compared them with simulation outputs. Stroud et al. [9] have studied a 2D plaque model using modeling and simulation while Fischer et al. [10] worked on numerical method for the computational study of arterial blood fow with turbulence. Te asymmetric fows in a symmetric sudden expansion channel have been studied using experimental and numerical techniques by Fearn et al. [11] and Durst et al. [12]. Mahapatra et al. [13] investi- gated unsteady laminar separated fow through constricted channel using fnite diference technique in staggered grid distribution and suggested that the critical value of Reynolds number depends on the area reduction and the length of the constriction. Chakravarty and Sannigrahi [14] solved blood fow model with body acceleration but they do not consider the nonlinear terms in the model. Blood shows a non-Newtonian behaviour at low shear rates in tubes of smaller diameters, and Taylor [15] suggested that at high shear rates commonly found in larger arteries blood behaves like a Newtonian fuid. Hindawi Publishing Corporation International Scholarly Research Notices Volume 2015, Article ID 628605, 10 pages http://dx.doi.org/10.1155/2015/628605