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...
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| Main Authors: | , , , |
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| Format: | Proceeding |
| Language: | English |
| Published: |
2016
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| Subjects: | |
| Online Access: | http://ir.unimas.my/id/eprint/35907/1/1 http://ir.unimas.my/id/eprint/35907/ https://aip.scitation.org/toc/apc/1739/1 |
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| Institution: | Universiti Malaysia Sarawak |
| Language: | English |
| Summary: | 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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