Magnetohydrodynamic approach of non-Newtonian blood flow with magnetic particles in stenosed artery

作     者：I. A. MIRZAt M. ABDULHAMEED S. SHAFIE 

作者机构：Abdus Salam School of Mathematical SciencesGovernment College University Lahore 54000 Pakistan School of Science and Technology Federal Polytechnic P. M. B. Bauchi 0231 Nigeria Department of Mathematical Sciences Faculty of Science Universiti Teknologi Skudai 81310 Malaysia 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2017年第38卷第3期

页      面：379-392页

核心收录：

学科分类：07[理学] 

基　　金：Project supported by the Tertiary Education Trust Fund of Nigeria(TETFund)(No.FPTB-2016) 

主　　题：Bingham plastic fluid, magnetic particle, blood flow, magnetohydrodynam-ics, artery stenosis 

摘      要：The non-Newtonian blood flow, together with magnetic particles in a stenosed artery, is studied using a magneto-hydrodynamic approach. The wall slip condition is also considered. Approximate solutions are obtained in series forms under the assumption that the Womersley frequency parameter has small values. Using an integral transform method, analytical solutions for any values of the Womersley parameter are *** simulations are performed using MATHCAD to study the influence of stenosis and magnetic field on the flow parameters. When entering the stenosed area, blood velocity increases slightly, but increases considerably and reaches its maximum value in the stenosis throat. It is concluded that the magnitude of axial velocity varies considerably when the applied magnetic field is strong. The magnitude of maximum fluid velocity is high in the case of weak magnetic fields. This is due to the Lorentz s force that opposes motion of an electrically conducting fluid. The effect of externally transverse magnetic field is to decelerate the flow of blood. The shear stress consistently decreases in the presence of a magnetic field with increasing intensity.