Similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet
This paper presents a numerical analysis of a stagnation-point flow towards a nonlinearly stretching/shrinking sheet immersed in a viscous fluid. The stretching/shrinking velocity and the external flow velocity impinges normal to the stretching/shrinking sheet are assumed to be in the form U ~ xm, w...
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24984/ http://psasir.upm.edu.my/id/eprint/24984/1/24984.pdf |
| _version_ | 1848845185381826560 |
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| author | Bachok @ Lati, Norfifah Mohd Ishak, Anuar |
| author_facet | Bachok @ Lati, Norfifah Mohd Ishak, Anuar |
| author_sort | Bachok @ Lati, Norfifah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper presents a numerical analysis of a stagnation-point flow towards a nonlinearly stretching/shrinking sheet immersed in a viscous fluid. The stretching/shrinking velocity and the external flow velocity impinges normal to the stretching/shrinking sheet are assumed to be in the form U ~ xm, where m is a constant and x is the distance from the stagnation point. The governing partial differential equations are converted into ordinary ones by a similarity transformation, before being solved numerically. The variations of the skin friction coefficient and the heat transfer rate at the surface with the governing parameters are graphed and tabulated. Different from a stretching sheet, it is found that the solutions for a shrinking sheet are non-unique for m > 1/3. |
| first_indexed | 2025-11-15T08:42:48Z |
| format | Article |
| id | upm-24984 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:42:48Z |
| publishDate | 2011 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-249842018-10-16T08:11:20Z http://psasir.upm.edu.my/id/eprint/24984/ Similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet Bachok @ Lati, Norfifah Mohd Ishak, Anuar This paper presents a numerical analysis of a stagnation-point flow towards a nonlinearly stretching/shrinking sheet immersed in a viscous fluid. The stretching/shrinking velocity and the external flow velocity impinges normal to the stretching/shrinking sheet are assumed to be in the form U ~ xm, where m is a constant and x is the distance from the stagnation point. The governing partial differential equations are converted into ordinary ones by a similarity transformation, before being solved numerically. The variations of the skin friction coefficient and the heat transfer rate at the surface with the governing parameters are graphed and tabulated. Different from a stretching sheet, it is found that the solutions for a shrinking sheet are non-unique for m > 1/3. Penerbit Universiti Kebangsaan Malaysia 2011 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/24984/1/24984.pdf Bachok @ Lati, Norfifah and Mohd Ishak, Anuar (2011) Similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet. Sains Malaysiana, 40 (11). pp. 1297-1300. ISSN 0026-6039 http://www.ukm.my/jsm/english_journals/vol40num11_2011/contentsVol40num11_2011.html |
| spellingShingle | Bachok @ Lati, Norfifah Mohd Ishak, Anuar Similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet |
| title | Similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet |
| title_full | Similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet |
| title_fullStr | Similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet |
| title_full_unstemmed | Similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet |
| title_short | Similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet |
| title_sort | similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet |
| url | http://psasir.upm.edu.my/id/eprint/24984/ http://psasir.upm.edu.my/id/eprint/24984/ http://psasir.upm.edu.my/id/eprint/24984/1/24984.pdf |