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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2011
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| Online Access: | http://journalarticle.ukm.my/2942/ http://journalarticle.ukm.my/2942/1/14_Norfifah.pdf |
| _version_ | 1848810024358379520 |
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| author | Norfifah Bachok, Anuar Ishak, |
| author_facet | Norfifah Bachok, Anuar Ishak, |
| author_sort | Norfifah Bachok, |
| building | UKM 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 | 2025-11-14T23:23:56Z |
| format | Article |
| id | oai:generic.eprints.org:2942 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:23:56Z |
| publishDate | 2011 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:29422016-12-14T06:33:07Z http://journalarticle.ukm.my/2942/ Similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet Norfifah Bachok, Anuar Ishak, 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. Universiti Kebangsaan Malaysia 2011-11 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/2942/1/14_Norfifah.pdf Norfifah Bachok, and Anuar Ishak, (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 0126-6039 http://www.ukm.my/jsm/contents.html |
| spellingShingle | Norfifah Bachok, Anuar Ishak, 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://journalarticle.ukm.my/2942/ http://journalarticle.ukm.my/2942/ http://journalarticle.ukm.my/2942/1/14_Norfifah.pdf |