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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Begell House, Inc.
2011
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/4448/ http://irep.iium.edu.my/4448/1/JPM-1640TN_2011.pdf |
| _version_ | 1848776332213747712 |
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| author | Khan, M. Safdar, Tanzeela Azram, Mohammad |
| author_facet | Khan, M. Safdar, Tanzeela Azram, Mohammad |
| author_sort | Khan, M. |
| building | IIUM Repository |
| collection | Online Access |
| 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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| first_indexed | 2025-11-14T14:28:24Z |
| format | Article |
| id | iium-4448 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:28:24Z |
| publishDate | 2011 |
| publisher | Begell House, Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | 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 |
| spellingShingle | QA Mathematics Khan, M. Safdar, Tanzeela Azram, Mohammad Starting solution for some oscillatory rotating flows of magnetohydrodynamic second-grade fluid through porous space |
| title | 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_short | 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 |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/4448/ http://irep.iium.edu.my/4448/ http://irep.iium.edu.my/4448/1/JPM-1640TN_2011.pdf |