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

doi:10.1007/s10483-017-2172-7

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (3): 379-392.doi: https://doi.org/10.1007/s10483-017-2172-7

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

I. A. MIRZA¹, M. ABDULHAMEED², S. SHAFIE³

1. Abdus Salam School of Mathematical Sciences, Government College University, Lahore 54000, Pakistan;
2. School of Science and Technology, Federal Polytechnic, P. M. B., Bauchi 0231, Nigeria;
3. Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi, Skudai 81310, Malaysia

收稿日期:2016-08-14 修回日期:2016-10-08 出版日期:2017-03-01 发布日期:2017-03-01
通讯作者: M. ABDULHAMEED, E-mail:moallahyidi@gmail.com E-mail:moallahyidi@gmail.com
基金资助:
Project supported by the Tertiary Education Trust Fund of Nigeria (TETFund) (No. FPTB-2016)

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

I. A. MIRZA¹, M. ABDULHAMEED², S. SHAFIE³

1. Abdus Salam School of Mathematical Sciences, Government College University, Lahore 54000, Pakistan;
2. School of Science and Technology, Federal Polytechnic, P. M. B., Bauchi 0231, Nigeria;
3. Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi, Skudai 81310, Malaysia

Received:2016-08-14 Revised:2016-10-08 Online:2017-03-01 Published:2017-03-01
Contact: M. ABDULHAMEED E-mail:moallahyidi@gmail.com
Supported by:
Project supported by the Tertiary Education Trust Fund of Nigeria (TETFund) (No. FPTB-2016)

摘要/Abstract

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 obtained. Numerical 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.

关键词: magnetic particle, artery stenosis, laminated rectangular plate, nonlinear bending, governing equation, magnetohydrodynamics, blood flow, Bingham plastic fluid

Abstract:

Key words: blood flow, laminated rectangular plate, nonlinear bending, governing equation, magnetic particle, artery stenosis, Bingham plastic fluid, magnetohydrodynamics

中图分类号:

R318

I. A. MIRZA, M. ABDULHAMEED, S. SHAFIE. Magnetohydrodynamic approach of non-Newtonian blood flow with magnetic particles in stenosed artery[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(3): 379-392.

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

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

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