A mathematical analysis of MHD blood flow of Eyring-Powell fluid through a constricted artery

作     者：Najma Saleem Sufian Munawar 

作者机构：Department of Mathematics and Natural Sciences Prince Mohammad Bin Fahd University Al Khobar 31952 Saudi Arabia Department of Quantitative Methods College Business Administration University of Dammam Dammam 31rr1 Saudi Arabia Department of Informatics and Systems School of Science and Technology University of Management and Technology Lahore 54000 Pakistan 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2016年第9卷第2期

页      面：175-186页

核心收录：

学科分类：071011[理学-生物物理学] 0710[理学-生物学] 07[理学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

主　　题：血液流动 动脉壁 狭窄 数学分析 流体 鲍 正则摄动法 匀强磁场 

摘      要：The present study deals with the flow of blood through a stenotic artery in the presence of a uniform magnetic field. Different flow situations are taken into account by considering the regular and irregular shapes of stenosis lying inside the walls of artery. Blood inside the artery is assumed to be Eyring–Powell fluid. A mathematical model is developed and simplified under the physical assumptions of stenosis. The regular perturbation method is adopted to find the solutions for axial velocity and pressure gradient. The variations in pressure drop across the stenosis length, the impedance and the shear stress at the walls of stenotic artery are discussed in detail through graphs. It is observed that the Eyring–Powell fluid is helpful in reducing the resistance to the flow in stenotic artery. Moreover, symmetric form of stenosis is more hazardous as compared to asymmetric stenosis.