Stability analysis of micropolar fluid flow over an exponentially permeable shrinking sheet
In the present paper, stability analysis is performed to the dual solutions obtained in boundary layer flow of micropolar fluid over a shrinking sheet with exponential velocity. The problem is first considered as time-dependent problem. Then, the governing equations are transformed into ordinary d...
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| Format: | Article |
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Academy of Sciences Malaysia
2020
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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 | In the present paper, stability analysis is performed to the dual solutions obtained in boundary layer
flow of micropolar fluid over a shrinking sheet with exponential velocity. The problem is first considered
as time-dependent problem. Then, the governing equations are transformed into ordinary differential
equations using similarity transformations. Linear eigenvalue equations are introduced, and the
smallest eigenvalues are computed by using a MATLAB solver called the bvp4c solver. The first solution
is found to have positive smallest eigenvalues, while the second solution has negative smallest
eigenvalues. Thus, the stable solution is the first solution, while the second solution is unstable. |
| first_indexed | 2024-03-06T10:41:26Z |
| format | Article |
| id | upm.eprints-85890 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-03-06T10:41:26Z |
| publishDate | 2020 |
| publisher | Academy of Sciences Malaysia |
| record_format | dspace |
| spelling | upm.eprints-858902023-10-10T06:48:11Z http://psasir.upm.edu.my/id/eprint/85890/ Stability analysis of micropolar fluid flow over an exponentially permeable shrinking sheet Yahaya, Rusya Iryanti Md. Arifin, Norihan Mohamed Isa, Siti Suzilliana Putri In the present paper, stability analysis is performed to the dual solutions obtained in boundary layer flow of micropolar fluid over a shrinking sheet with exponential velocity. The problem is first considered as time-dependent problem. Then, the governing equations are transformed into ordinary differential equations using similarity transformations. Linear eigenvalue equations are introduced, and the smallest eigenvalues are computed by using a MATLAB solver called the bvp4c solver. The first solution is found to have positive smallest eigenvalues, while the second solution has negative smallest eigenvalues. Thus, the stable solution is the first solution, while the second solution is unstable. Academy of Sciences Malaysia 2020 Article PeerReviewed Yahaya, Rusya Iryanti and Md. Arifin, Norihan and Mohamed Isa, Siti Suzilliana Putri (2020) Stability analysis of micropolar fluid flow over an exponentially permeable shrinking sheet. ASM Science Journal, 13. pp. 1-5. ISSN 1823-6782 https://www.akademisains.gov.my/asmsj/article/stability-analysis-of-micropolar-fluid-flow-over-an-exponentially/ 10.32802/asmscj.2020.sm26(4.17) |
| spellingShingle | Yahaya, Rusya Iryanti Md. Arifin, Norihan Mohamed Isa, Siti Suzilliana Putri Stability analysis of micropolar fluid flow over an exponentially permeable shrinking sheet |
| title | Stability analysis of micropolar fluid flow over an exponentially permeable shrinking sheet |
| title_full | Stability analysis of micropolar fluid flow over an exponentially permeable shrinking sheet |
| title_fullStr | Stability analysis of micropolar fluid flow over an exponentially permeable shrinking sheet |
| title_full_unstemmed | Stability analysis of micropolar fluid flow over an exponentially permeable shrinking sheet |
| title_short | Stability analysis of micropolar fluid flow over an exponentially permeable shrinking sheet |
| title_sort | stability analysis of micropolar fluid flow over an exponentially permeable shrinking sheet |
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