A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet
The stagnation-point flow over a shrinking sheet in Darcy-Forchheimer porous medium is numerically studied. The governing partial differential equations are transformed into ordinary differential equations using a similarity transformation, and then solved numerically by using shooting technique met...
| Main Authors: | , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57373/ http://psasir.upm.edu.my/id/eprint/57373/1/A%20stability%20analysis%20on%20forced%20convection%20boundary%20layer%20stagnation-point%20slip%20flow%20in%20Darcy-Forchheimer%20porous%20medium%20towards%20a%20shrinking%20sheet.pdf |
| _version_ | 1848853347860217856 |
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| author | Abu Bakar, Shahirah Md. Arifin, Norihan Md. Ali, Fadzilah Bachok @ Lati, Norfifah Mohd Nazar, Roslinda |
| author_facet | Abu Bakar, Shahirah Md. Arifin, Norihan Md. Ali, Fadzilah Bachok @ Lati, Norfifah Mohd Nazar, Roslinda |
| author_sort | Abu Bakar, Shahirah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The stagnation-point flow over a shrinking sheet in Darcy-Forchheimer porous medium is numerically studied. The governing partial differential equations are transformed into ordinary differential equations using a similarity transformation, and then solved numerically by using shooting technique method with Maple implementation. Dual solutions are observed in a certain range of the shrinking parameter. Regarding on numerical solutions, we prepared stability analysis to identify which solution is stable between non-unique solutions by bvp4c solver in Matlab. Further we obtain numerical results or each solution, which enable us to discuss the features of the respective solutions. |
| first_indexed | 2025-11-15T10:52:32Z |
| format | Conference or Workshop Item |
| id | upm-57373 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:32Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-573732017-09-27T06:37:01Z http://psasir.upm.edu.my/id/eprint/57373/ A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet Abu Bakar, Shahirah Md. Arifin, Norihan Md. Ali, Fadzilah Bachok @ Lati, Norfifah Mohd Nazar, Roslinda The stagnation-point flow over a shrinking sheet in Darcy-Forchheimer porous medium is numerically studied. The governing partial differential equations are transformed into ordinary differential equations using a similarity transformation, and then solved numerically by using shooting technique method with Maple implementation. Dual solutions are observed in a certain range of the shrinking parameter. Regarding on numerical solutions, we prepared stability analysis to identify which solution is stable between non-unique solutions by bvp4c solver in Matlab. Further we obtain numerical results or each solution, which enable us to discuss the features of the respective solutions. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57373/1/A%20stability%20analysis%20on%20forced%20convection%20boundary%20layer%20stagnation-point%20slip%20flow%20in%20Darcy-Forchheimer%20porous%20medium%20towards%20a%20shrinking%20sheet.pdf Abu Bakar, Shahirah and Md. Arifin, Norihan and Md. Ali, Fadzilah and Bachok @ Lati, Norfifah and Mohd Nazar, Roslinda (2016) A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet. In: 24th National Symposium on Mathematical Sciences (SKSM24), 27-29 Sept. 2016, Primula Beach Hotel, Kuala Terengganu, Terengganu. (pp. 1-7). 10.1063/1.4995906 |
| spellingShingle | Abu Bakar, Shahirah Md. Arifin, Norihan Md. Ali, Fadzilah Bachok @ Lati, Norfifah Mohd Nazar, Roslinda A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet |
| title | A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet |
| title_full | A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet |
| title_fullStr | A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet |
| title_full_unstemmed | A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet |
| title_short | A stability analysis on forced convection boundary layer stagnation-point slip flow in Darcy-Forchheimer porous medium towards a shrinking sheet |
| title_sort | stability analysis on forced convection boundary layer stagnation-point slip flow in darcy-forchheimer porous medium towards a shrinking sheet |
| url | http://psasir.upm.edu.my/id/eprint/57373/ http://psasir.upm.edu.my/id/eprint/57373/ http://psasir.upm.edu.my/id/eprint/57373/1/A%20stability%20analysis%20on%20forced%20convection%20boundary%20layer%20stagnation-point%20slip%20flow%20in%20Darcy-Forchheimer%20porous%20medium%20towards%20a%20shrinking%20sheet.pdf |