New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium
New exact solutions for unsteady magnetohydrodynamic (MHD) flows of an Oldroyd-B fluid have been derived. The Oldroyd-B fluid saturates the porous space. Two different flow cases have been considered. The analytical expressions for velocity and shear stress fields have been obtained by using Laplace...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/408132 |
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| author | I. Khan M. Imran K. Fakhar |
| author_facet | I. Khan M. Imran K. Fakhar |
| author_sort | I. Khan |
| collection | DOAJ |
| description | New exact solutions for unsteady magnetohydrodynamic (MHD) flows of an Oldroyd-B fluid have been derived. The Oldroyd-B fluid saturates the porous space. Two different flow cases have been considered. The analytical expressions for velocity and shear stress fields have been obtained by using Laplace transform technique. The corresponding solutions for hydrodynamic Oldroyd-B fluid in a nonporous space appeared as the limiting cases of the obtained solutions. Similar solutions for MHD Newtonian fluid passing through a porous space are also recovered. Graphs are sketched for the pertinent parameters. It is found that the MHD and porosity parameters have strong influence on velocity and shear stress fields. |
| format | Article |
| id | doaj-art-9dbee36b0f094f80840d9ffd5db2f58f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9dbee36b0f094f80840d9ffd5db2f58f2025-02-03T05:44:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/408132408132New Exact Solutions for an Oldroyd-B Fluid in a Porous MediumI. Khan0M. Imran1K. Fakhar2Department of Mathematics, Faculty of Science, Technological University of Malaysia (UTM), 81310 Skudai, MalaysiaDepartment of Mathematics, Faculty of Science, Technological University of Malaysia (UTM), 81310 Skudai, MalaysiaDepartment of Mathematics, Faculty of Science, Technological University of Malaysia (UTM), 81310 Skudai, MalaysiaNew exact solutions for unsteady magnetohydrodynamic (MHD) flows of an Oldroyd-B fluid have been derived. The Oldroyd-B fluid saturates the porous space. Two different flow cases have been considered. The analytical expressions for velocity and shear stress fields have been obtained by using Laplace transform technique. The corresponding solutions for hydrodynamic Oldroyd-B fluid in a nonporous space appeared as the limiting cases of the obtained solutions. Similar solutions for MHD Newtonian fluid passing through a porous space are also recovered. Graphs are sketched for the pertinent parameters. It is found that the MHD and porosity parameters have strong influence on velocity and shear stress fields.http://dx.doi.org/10.1155/2011/408132 |
| spellingShingle | I. Khan M. Imran K. Fakhar New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium International Journal of Mathematics and Mathematical Sciences |
| title | New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium |
| title_full | New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium |
| title_fullStr | New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium |
| title_full_unstemmed | New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium |
| title_short | New Exact Solutions for an Oldroyd-B Fluid in a Porous Medium |
| title_sort | new exact solutions for an oldroyd b fluid in a porous medium |
| url | http://dx.doi.org/10.1155/2011/408132 |
| work_keys_str_mv | AT ikhan newexactsolutionsforanoldroydbfluidinaporousmedium AT mimran newexactsolutionsforanoldroydbfluidinaporousmedium AT kfakhar newexactsolutionsforanoldroydbfluidinaporousmedium |