A comment on the flow and heat transfer past a permeable stretching/shrinking surface in a porous medium: Brinkman model
An analytical solution is presented for the boundary-layer flow and heat transfer over a permeable stretching/shrinking surface embedded in a porous medium using the Brinkman model. The problem is seen to be characterized by the Prandtl number Pr, a mass flux parameter s, with s>0 for suction, s=...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Springer
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36131/ http://psasir.upm.edu.my/id/eprint/36131/1/A%20comment%20on%20the%20flow%20and%20heat%20transfer%20past%20a%20permeable%20stretching.pdf |
| _version_ | 1848848246456188928 |
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| author | Merkin, John H. Bachok @ Lati, Norfifah Ishak, Anuar Pop, Ioan |
| author_facet | Merkin, John H. Bachok @ Lati, Norfifah Ishak, Anuar Pop, Ioan |
| author_sort | Merkin, John H. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | An analytical solution is presented for the boundary-layer flow and heat transfer over a permeable stretching/shrinking surface embedded in a porous medium using the Brinkman model. The problem is seen to be characterized by the Prandtl number Pr, a mass flux parameter s, with s>0 for suction, s=0 for an impermeable surface, and s<0 for blowing, a viscosity ratio parameter M, the porous medium parameter Λ and a wall velocity parameter λ. The analytical solution identifies critical values which agree with those previously determined numerically (Bachok et al. Proceedings of the fifth International Conference on Applications of Porous Media, 2013) and shows that these critical values, and the consequent dual solutions, can arise only when there is suction through the wall, s>0. |
| first_indexed | 2025-11-15T09:31:27Z |
| format | Article |
| id | upm-36131 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:31:27Z |
| publishDate | 2014 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-361312015-10-06T23:49:05Z http://psasir.upm.edu.my/id/eprint/36131/ A comment on the flow and heat transfer past a permeable stretching/shrinking surface in a porous medium: Brinkman model Merkin, John H. Bachok @ Lati, Norfifah Ishak, Anuar Pop, Ioan An analytical solution is presented for the boundary-layer flow and heat transfer over a permeable stretching/shrinking surface embedded in a porous medium using the Brinkman model. The problem is seen to be characterized by the Prandtl number Pr, a mass flux parameter s, with s>0 for suction, s=0 for an impermeable surface, and s<0 for blowing, a viscosity ratio parameter M, the porous medium parameter Λ and a wall velocity parameter λ. The analytical solution identifies critical values which agree with those previously determined numerically (Bachok et al. Proceedings of the fifth International Conference on Applications of Porous Media, 2013) and shows that these critical values, and the consequent dual solutions, can arise only when there is suction through the wall, s>0. Springer 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36131/1/A%20comment%20on%20the%20flow%20and%20heat%20transfer%20past%20a%20permeable%20stretching.pdf Merkin, John H. and Bachok @ Lati, Norfifah and Ishak, Anuar and Pop, Ioan (2014) A comment on the flow and heat transfer past a permeable stretching/shrinking surface in a porous medium: Brinkman model. Transport in Porous Media, 101 (3). pp. 365-371. ISSN 0169-3913; ESSN: 1573-1634 10.1007/s11242-013-0249-4 |
| spellingShingle | Merkin, John H. Bachok @ Lati, Norfifah Ishak, Anuar Pop, Ioan A comment on the flow and heat transfer past a permeable stretching/shrinking surface in a porous medium: Brinkman model |
| title | A comment on the flow and heat transfer past a permeable stretching/shrinking surface in a porous medium: Brinkman model |
| title_full | A comment on the flow and heat transfer past a permeable stretching/shrinking surface in a porous medium: Brinkman model |
| title_fullStr | A comment on the flow and heat transfer past a permeable stretching/shrinking surface in a porous medium: Brinkman model |
| title_full_unstemmed | A comment on the flow and heat transfer past a permeable stretching/shrinking surface in a porous medium: Brinkman model |
| title_short | A comment on the flow and heat transfer past a permeable stretching/shrinking surface in a porous medium: Brinkman model |
| title_sort | comment on the flow and heat transfer past a permeable stretching/shrinking surface in a porous medium: brinkman model |
| url | http://psasir.upm.edu.my/id/eprint/36131/ http://psasir.upm.edu.my/id/eprint/36131/ http://psasir.upm.edu.my/id/eprint/36131/1/A%20comment%20on%20the%20flow%20and%20heat%20transfer%20past%20a%20permeable%20stretching.pdf |