Citation
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).
Abstract
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.
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Official URL or Download Paper: http://aip.scitation.org/doi/abs/10.1063/1.4952503
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4952503 |
| Publisher: | AIP Publishing |
| Keywords: | Stagnation-point flow; Heat transfer over; Shrinking sheet; Shrinking rate |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 08 Sep 2017 05:20 |
| Last Modified: | 08 Sep 2017 05:20 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4952503 |
| URI: | http://psasir.upm.edu.my/id/eprint/57160 |
| Statistic Details: | View Download Statistic |
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