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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Main Authors:	Norfifah Bachok, Anuar Ishak
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2011
Online Access:	http://journalarticle.ukm.my/2942/ http://journalarticle.ukm.my/2942/ http://journalarticle.ukm.my/2942/1/14_Norfifah.pdf

id	ukm-2942
recordtype	eprints
spelling	ukm-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
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
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.
format	Article
author	Norfifah Bachok, Anuar Ishak,
spellingShingle	Norfifah Bachok, Anuar Ishak, Similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet
author_facet	Norfifah Bachok, Anuar Ishak,
author_sort	Norfifah Bachok,
title	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_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_sort	similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet
publisher	Universiti Kebangsaan Malaysia
publishDate	2011
url	http://journalarticle.ukm.my/2942/ http://journalarticle.ukm.my/2942/ http://journalarticle.ukm.my/2942/1/14_Norfifah.pdf
first_indexed	2023-09-18T19:37:25Z
last_indexed	2023-09-18T19:37:25Z
_version_	1777405363863158784

Similarity solutions for the stagnation-point flow and heat transfer over a nonlinearly stretching/shrinking sheet

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