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Local nonsimilarity solution for vertical free convection boundary layers.

Laminar free convection boundary layer over a vertical flat plate with an exponential variation of surface temperature in viscous fluids is analyzed using the local nonsimilarity method. The present approach takes into consideration the nonsimilarity terms appearing in the momentum and energy equati...

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Main Authors: Lok, Yian Yian, Amin, Norsarahaida
Format: Article
Language:English
Published: Department of Mathematics, Faculty of Science 2002
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/8813/1/LokYianYian2002_LocalNonsimilaritySolutionforVertical.pdf
http://eprints.utm.my/id/eprint/8813/
http://www.fs.utm.my/matematika/content/view/64/31/
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spelling my.utm.88132010-06-02T01:58:09Z http://eprints.utm.my/id/eprint/8813/ Local nonsimilarity solution for vertical free convection boundary layers. Lok, Yian Yian Amin, Norsarahaida QA Mathematics Laminar free convection boundary layer over a vertical flat plate with an exponential variation of surface temperature in viscous fluids is analyzed using the local nonsimilarity method. The present approach takes into consideration the nonsimilarity terms appearing in the momentum and energy equations, which have been unaccounted for previously, in for example, the similarity and the local similarity methods. The governing equations are solved numerically using the Keller-box method, an efficient implicit finite difference scheme. Numerical results are presented in the form of heat transfer rates, local wall shear stress, velocity and temperature profiles. The heat transfer rates and local wall shear stress obtained show good agreement with available nonsimilar solutions. The effects of various values of transformed stream-wise coordinate $\xi$ and Prandtl numbers on velocity and temperature profiles are also presented. Department of Mathematics, Faculty of Science 2002-06 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/8813/1/LokYianYian2002_LocalNonsimilaritySolutionforVertical.pdf Lok, Yian Yian and Amin, Norsarahaida (2002) Local nonsimilarity solution for vertical free convection boundary layers. Matematika, 18 (1). pp. 21-31. ISSN 0127-8274 http://www.fs.utm.my/matematika/content/view/64/31/
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Lok, Yian Yian
Amin, Norsarahaida
Local nonsimilarity solution for vertical free convection boundary layers.
description Laminar free convection boundary layer over a vertical flat plate with an exponential variation of surface temperature in viscous fluids is analyzed using the local nonsimilarity method. The present approach takes into consideration the nonsimilarity terms appearing in the momentum and energy equations, which have been unaccounted for previously, in for example, the similarity and the local similarity methods. The governing equations are solved numerically using the Keller-box method, an efficient implicit finite difference scheme. Numerical results are presented in the form of heat transfer rates, local wall shear stress, velocity and temperature profiles. The heat transfer rates and local wall shear stress obtained show good agreement with available nonsimilar solutions. The effects of various values of transformed stream-wise coordinate $\xi$ and Prandtl numbers on velocity and temperature profiles are also presented.
format Article
author Lok, Yian Yian
Amin, Norsarahaida
author_facet Lok, Yian Yian
Amin, Norsarahaida
author_sort Lok, Yian Yian
title Local nonsimilarity solution for vertical free convection boundary layers.
title_short Local nonsimilarity solution for vertical free convection boundary layers.
title_full Local nonsimilarity solution for vertical free convection boundary layers.
title_fullStr Local nonsimilarity solution for vertical free convection boundary layers.
title_full_unstemmed Local nonsimilarity solution for vertical free convection boundary layers.
title_sort local nonsimilarity solution for vertical free convection boundary layers.
publisher Department of Mathematics, Faculty of Science
publishDate 2002
url http://eprints.utm.my/id/eprint/8813/1/LokYianYian2002_LocalNonsimilaritySolutionforVertical.pdf
http://eprints.utm.my/id/eprint/8813/
http://www.fs.utm.my/matematika/content/view/64/31/
_version_ 1643645076650328064
score 13.211869

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