Computational and Applied Mathematical Sciences 4 (1): 14-19 2019 ISSN 2222-1328 © IDOSI Publications, 2019 DOI: 10.5829/idosi.cams.2019.14.19 Corresponding Author: Abdul Karim, Department of Mechanical Engineering, Sonargaon University, Dhaka-1215, Bangladesh. 14 Computational Analysis of Blood Flow Through the Human Artery with Axi-Symmetric Blockage Abdul Karim,, Samia Taher, Mohammed Nizam Uddin and Md. Abdul Hakim Khan 1 2 3 4 Department of Mechanical Engineering, Sonargaon University, 1 Dhaka-1215, Bangladesh Faculty of Science and Humanities, Bangladesh Army International University of 2 Science and Technology, Cumilla-3501, Bangladesh Department of Applied Mathematics, Noakhali Science and Technology University, 3 Noakhali-3814, Bangladesh Department of Mathematics, Bangladesh University of Engineering and Technology, 4 Dhaka-1000, Bangladesh Abstract: An axi-symmetric model was developed and validated for hemodynamic pulsatile blood flow through a symmetrically stenosed artery. The blood flow was considered to be a Newtonian fluid, designed for a 2D idealized elastic arteries and is characterized as a steady, laminar, incompressible and unidirectional flow velocity at the inflow and various values of blood-pressure at the outflow, while the arterial walls as well as the surrounding muscles were modeled as a hyperelastic neo-Hookean material. The results were obtained for axial velocities, total flow rate, pressure gradient and wall shear stresses (WSS). The result showed significant strengthened WSS at the stenotis throat and weakened WSS at the distal side of stenosis neck. It is found that the increase of stenosis size (height) increased the pressure drop and WSS, whereas velocity and flow rate decreased. The wall deformation and WSS play an important role in the flow mechanics of the blood in the stenosed artery. This work may enhance to regulate the blood flow in hypertensive patients and those who have blockage in their arteries. Such kind of computational work may be helpful for the physiologists to treat their patients more accurately and more effectively. Key words: Hemodynamics Blood Human Artery Wall Shear Stress INTRODUCTION geometry of the stenosis and upstream Reynolds number. A very common fact, now-a-days, is the abnormal growths in the lumen of the arterial wall developed at various locations of the cardiovascular system. Stenosis is one of the most widespread arterial diseases [1]. A schematic of human normal and stenosed artery is shown in Fig. 1. The fluid dynamical factors play an important role in the development of such arterial diseases. The interest in hemodynamic studies, in recent years, has grown appreciably due to the fact that many cardiovascular diseases are closely related to the flow conditions in the blood vessels [2]. A steady flow through an axisymmetric stenosis has been investigated extensively by Smith [3] using an analytical approach indicating that the flow patterns strongly depend on the Realizing the fact that the pulsatile nature of the flow cannot be neglected, many theoretical analysis and experimental studies of the flow through stenosis have been performed [4-5]. In most of these studies, the flowing blood is assumed to be Newtonian. The assumption of the Newtonian behavior of blood is acceptable for a high shear rate flow in the case of a flow through larger arteries. It has now been well accepted that blood, being a suspension of cells, behaves like a non-Newtonian fluid at a low shear rate in smaller arteries under certain flow conditions [6-7]. Some researchers [8-9] propounded that for blood flowing through small vessels there is an erythrocyte-free plasma (Newtonian) layer adjacent to the vessel wall and a core layer of a suspension of all erythrocytes (non-Newtonian). Accepting this idea,