Starting solution for some oscillatory rotating flows of magnetohydrodynamic second-grade fluid through porous space
This paper presents a starting solution for some oscillating flows of an incompressible and electrically conducting second-grade fluid through porous space in a rotating frame of reference. Modified Darcy’s law for a second-grade fluid has been utilized to discuss the flows through porous space. Exa...
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Online Access: | http://irep.iium.edu.my/4448/ http://irep.iium.edu.my/4448/ http://irep.iium.edu.my/4448/1/JPM-1640TN_2011.pdf |
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iium-44482013-06-25T01:29:50Z http://irep.iium.edu.my/4448/ Starting solution for some oscillatory rotating flows of magnetohydrodynamic second-grade fluid through porous space Khan, M. Safdar, Tanzeela Azram, Mohammad QA Mathematics This paper presents a starting solution for some oscillating flows of an incompressible and electrically conducting second-grade fluid through porous space in a rotating frame of reference. Modified Darcy’s law for a second-grade fluid has been utilized to discuss the flows through porous space. Exact analytical expressions for the velocity field are obtained in the presence of a transverse uniform magnetic field and Hall current using the Fourier sine transforms. The results are presented as a sum of steady-state and transient solutions. In the limiting case when α1 goes to zero, our solutions reduce to those for a Newtonian fluid. The obtained results are sketched for the variations of pertinent parameters and are analyzed through several graphs. Begell House, Inc. 2011-09 Article PeerReviewed application/pdf en http://irep.iium.edu.my/4448/1/JPM-1640TN_2011.pdf Khan, M. and Safdar, Tanzeela and Azram, Mohammad (2011) Starting solution for some oscillatory rotating flows of magnetohydrodynamic second-grade fluid through porous space. Journal of Porous Media, 14 (8). pp. 723-734. ISSN 1934-0508 http://www.begellhouse.com/journals/49dcde6d4c0809db,0905ce7b5f0974bb,11a44c5a5b0c24ff.html |
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QA Mathematics Khan, M. Safdar, Tanzeela Azram, Mohammad Starting solution for some oscillatory rotating flows of magnetohydrodynamic second-grade fluid through porous space |
description |
This paper presents a starting solution for some oscillating flows of an incompressible and electrically conducting second-grade fluid through porous space in a rotating frame of reference. Modified Darcy’s law for a second-grade fluid has been utilized to discuss the flows through porous space. Exact analytical expressions for the velocity field are obtained in the presence of a transverse uniform magnetic field and Hall current using the Fourier sine transforms. The results are presented as a sum of steady-state and transient solutions. In the limiting case when α1 goes to zero, our solutions reduce to those for a Newtonian fluid. The obtained results are sketched for the variations of pertinent parameters and are analyzed through several graphs.
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format |
Article |
author |
Khan, M. Safdar, Tanzeela Azram, Mohammad |
author_facet |
Khan, M. Safdar, Tanzeela Azram, Mohammad |
author_sort |
Khan, M. |
title |
Starting solution for some oscillatory rotating flows of magnetohydrodynamic second-grade fluid through porous space |
title_short |
Starting solution for some oscillatory rotating flows of magnetohydrodynamic second-grade fluid through porous space |
title_full |
Starting solution for some oscillatory rotating flows of magnetohydrodynamic second-grade fluid through porous space |
title_fullStr |
Starting solution for some oscillatory rotating flows of magnetohydrodynamic second-grade fluid through porous space |
title_full_unstemmed |
Starting solution for some oscillatory rotating flows of magnetohydrodynamic second-grade fluid through porous space |
title_sort |
starting solution for some oscillatory rotating flows of magnetohydrodynamic second-grade fluid through porous space |
publisher |
Begell House, Inc. |
publishDate |
2011 |
url |
http://irep.iium.edu.my/4448/ http://irep.iium.edu.my/4448/ http://irep.iium.edu.my/4448/1/JPM-1640TN_2011.pdf |
first_indexed |
2023-09-18T20:12:40Z |
last_indexed |
2023-09-18T20:12:40Z |
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1777407581741907968 |