Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation
Dual solutions are discovered in the problem of magnetohydrodynamics (MHD) boundary layer flow of Carreau fluid over a permeable shrinking sheet with thermal radiation. Therefore, a stability analysis is carried out to identify the stable solution of this problem. For the stability analysis, the pro...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/82233/1/Stability%20analysis%20of%20MHD%20.pdf |
| _version_ | 1825951546456670208 |
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| author | Yahaya, Rusya Iryanti Md Arifin, Norihan Mohamed Isa, Siti Suzilliana Putri |
| author_facet | Yahaya, Rusya Iryanti Md Arifin, Norihan Mohamed Isa, Siti Suzilliana Putri |
| author_sort | Yahaya, Rusya Iryanti |
| collection | UPM |
| description | Dual solutions are discovered in the problem of magnetohydrodynamics (MHD) boundary layer flow of Carreau fluid over a permeable shrinking sheet with thermal radiation. Therefore, a stability analysis is carried out to identify the stable solution of this problem. For the stability analysis, the problem is considered to be unsteady with time derivative introduced into the governing equations. Next, time-dependent solutions are substituted into these equations to form linear eigenvalue equations. The smallest eigenvalue of these equations is then computed using the bvp4c solver in MATLAB. The results showed that the first solution is stable, while the second solution is unstable. The first solution is physically meaningful and realizable in practice, and thus significant to the problem. |
| first_indexed | 2024-03-06T10:31:37Z |
| format | Article |
| id | upm.eprints-82233 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:31:37Z |
| publishDate | 2019 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | upm.eprints-822332020-12-16T06:06:07Z http://psasir.upm.edu.my/id/eprint/82233/ Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation Yahaya, Rusya Iryanti Md Arifin, Norihan Mohamed Isa, Siti Suzilliana Putri Dual solutions are discovered in the problem of magnetohydrodynamics (MHD) boundary layer flow of Carreau fluid over a permeable shrinking sheet with thermal radiation. Therefore, a stability analysis is carried out to identify the stable solution of this problem. For the stability analysis, the problem is considered to be unsteady with time derivative introduced into the governing equations. Next, time-dependent solutions are substituted into these equations to form linear eigenvalue equations. The smallest eigenvalue of these equations is then computed using the bvp4c solver in MATLAB. The results showed that the first solution is stable, while the second solution is unstable. The first solution is physically meaningful and realizable in practice, and thus significant to the problem. Penerbit Universiti Kebangsaan Malaysia 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/82233/1/Stability%20analysis%20of%20MHD%20.pdf Yahaya, Rusya Iryanti and Md Arifin, Norihan and Mohamed Isa, Siti Suzilliana Putri (2019) Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation. Sains Malaysiana, 48 (10). pp. 2285-2295. ISSN 0126-6039 10.17576/jsm-2019-4810-25 |
| spellingShingle | Yahaya, Rusya Iryanti Md Arifin, Norihan Mohamed Isa, Siti Suzilliana Putri Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation |
| title | Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation |
| title_full | Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation |
| title_fullStr | Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation |
| title_full_unstemmed | Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation |
| title_short | Stability analysis of MHD carreau fluid flow over a permeable shrinking sheet with thermal radiation |
| title_sort | stability analysis of mhd carreau fluid flow over a permeable shrinking sheet with thermal radiation |
| url | http://psasir.upm.edu.my/id/eprint/82233/1/Stability%20analysis%20of%20MHD%20.pdf |
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