Magnetohydrodynamic approach of non-newtonian blood flow with magnetic particles in stenosed artery
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...
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my.utm.661812017-07-17T01:53:38Z http://eprints.utm.my/id/eprint/66181/ Magnetohydrodynamic approach of non-newtonian blood flow with magnetic particles in stenosed artery Mirza, Itrat Abbas Abdulhameed, Mohammed Shafie, Sharidan Q Science 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 ve- locity 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. Shanghai University 2017-01-03 Article PeerReviewed Mirza, Itrat Abbas and Abdulhameed, Mohammed and Shafie, Sharidan (2017) Magnetohydrodynamic approach of non-newtonian blood flow with magnetic particles in stenosed artery. Applied Mathematics and Mechanics, 38 (3). pp. 379-392. ISSN 0253-4827 http://dx.doi.org/10.1007/s10483-017-2172-7 DOI:10.1007/s10483-017-2172-7 |
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Q Science Mirza, Itrat Abbas Abdulhameed, Mohammed Shafie, Sharidan Magnetohydrodynamic approach of non-newtonian blood flow with magnetic particles in stenosed artery |
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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 ve- locity 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. |
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Article |
author |
Mirza, Itrat Abbas Abdulhameed, Mohammed Shafie, Sharidan |
author_facet |
Mirza, Itrat Abbas Abdulhameed, Mohammed Shafie, Sharidan |
author_sort |
Mirza, Itrat Abbas |
title |
Magnetohydrodynamic approach of non-newtonian blood flow with magnetic particles in stenosed artery |
title_short |
Magnetohydrodynamic approach of non-newtonian blood flow with magnetic particles in stenosed artery |
title_full |
Magnetohydrodynamic approach of non-newtonian blood flow with magnetic particles in stenosed artery |
title_fullStr |
Magnetohydrodynamic approach of non-newtonian blood flow with magnetic particles in stenosed artery |
title_full_unstemmed |
Magnetohydrodynamic approach of non-newtonian blood flow with magnetic particles in stenosed artery |
title_sort |
magnetohydrodynamic approach of non-newtonian blood flow with magnetic particles in stenosed artery |
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Shanghai University |
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2017 |
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http://eprints.utm.my/id/eprint/66181/ http://dx.doi.org/10.1007/s10483-017-2172-7 |
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