Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis
Numerical solutions for the stagnation-point flow and heat transfer over an exponentially shrinking sheet have been investigated. The governing boundary layer equations are transformed into an ordinary differential equation using a non-similar transformation. By using the bvp4c solver in MATLAB, the...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57160/ http://psasir.upm.edu.my/id/eprint/57160/1/Stagnation-point%20flow%20and%20heat%20transfer%20over%20an%20exponentially%20shrinking%20sheet%20a%20stability%20analysis.pdf |
| _version_ | 1848853287532494848 |
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| author | Ismail, Nurul Syuhada Md. Arifin, Norihan Bachok @ Lati, Norfifah Mahiddin, Norhasimah |
| author_facet | Ismail, Nurul Syuhada Md. Arifin, Norihan Bachok @ Lati, Norfifah Mahiddin, Norhasimah |
| author_sort | Ismail, Nurul Syuhada |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Numerical solutions for the stagnation-point flow and heat transfer over an exponentially shrinking sheet have been investigated. The governing boundary layer equations are transformed into an ordinary differential equation using a non-similar transformation. By using the bvp4c solver in MATLAB, the results of the equations can be solved numerically. Numerical results indicate that in certain parameter, the non-unique solutions for the velocity and the temperature do exist. A linear stability analysis shows that only one solution is linearly stable otherwise is unstable. Then, the stability analysis is performed to identify which solution is stable between the two non-unique solutions. |
| first_indexed | 2025-11-15T10:51:35Z |
| format | Conference or Workshop Item |
| id | upm-57160 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:35Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-571602017-09-08T05:20:55Z http://psasir.upm.edu.my/id/eprint/57160/ Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis Ismail, Nurul Syuhada Md. Arifin, Norihan Bachok @ Lati, Norfifah Mahiddin, Norhasimah Numerical solutions for the stagnation-point flow and heat transfer over an exponentially shrinking sheet have been investigated. The governing boundary layer equations are transformed into an ordinary differential equation using a non-similar transformation. By using the bvp4c solver in MATLAB, the results of the equations can be solved numerically. Numerical results indicate that in certain parameter, the non-unique solutions for the velocity and the temperature do exist. A linear stability analysis shows that only one solution is linearly stable otherwise is unstable. Then, the stability analysis is performed to identify which solution is stable between the two non-unique solutions. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57160/1/Stagnation-point%20flow%20and%20heat%20transfer%20over%20an%20exponentially%20shrinking%20sheet%20a%20stability%20analysis.pdf Ismail, Nurul Syuhada and Md. Arifin, Norihan and Bachok @ Lati, Norfifah and Mahiddin, Norhasimah (2016) Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-7). http://aip.scitation.org/doi/abs/10.1063/1.4952503 10.1063/1.4952503 |
| spellingShingle | Ismail, Nurul Syuhada Md. Arifin, Norihan Bachok @ Lati, Norfifah Mahiddin, Norhasimah Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis |
| title | Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis |
| title_full | Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis |
| title_fullStr | Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis |
| title_full_unstemmed | Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis |
| title_short | Stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis |
| title_sort | stagnation-point flow and heat transfer over an exponentially shrinking sheet: a stability analysis |
| url | http://psasir.upm.edu.my/id/eprint/57160/ http://psasir.upm.edu.my/id/eprint/57160/ http://psasir.upm.edu.my/id/eprint/57160/ http://psasir.upm.edu.my/id/eprint/57160/1/Stagnation-point%20flow%20and%20heat%20transfer%20over%20an%20exponentially%20shrinking%20sheet%20a%20stability%20analysis.pdf |