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Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall

The gravity-driven film flow has been analyzed along a vertical wall subjected to a convective boundary condition. The Boussinesq approximation is applied to simplify the buoyancy term, and similarity transformations are used on the mathematical model of the problem under consideration, to obtain a...

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Detalles Bibliográficos
Autores principales: Raees, Ammarah, Xu, Hang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3886397/
https://www.ncbi.nlm.nih.gov/pubmed/24453862
http://dx.doi.org/10.1155/2013/475939
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author Raees, Ammarah
Xu, Hang
author_facet Raees, Ammarah
Xu, Hang
author_sort Raees, Ammarah
collection PubMed
description The gravity-driven film flow has been analyzed along a vertical wall subjected to a convective boundary condition. The Boussinesq approximation is applied to simplify the buoyancy term, and similarity transformations are used on the mathematical model of the problem under consideration, to obtain a set of coupled ordinary differential equations. Then the reduced equations are solved explicitly by using homotopy analysis method (HAM). The resulting solutions are investigated for heat transfer effects on velocity and temperature profiles.
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spelling pubmed-38863972014-01-21 Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall Raees, Ammarah Xu, Hang ScientificWorldJournal Research Article The gravity-driven film flow has been analyzed along a vertical wall subjected to a convective boundary condition. The Boussinesq approximation is applied to simplify the buoyancy term, and similarity transformations are used on the mathematical model of the problem under consideration, to obtain a set of coupled ordinary differential equations. Then the reduced equations are solved explicitly by using homotopy analysis method (HAM). The resulting solutions are investigated for heat transfer effects on velocity and temperature profiles. Hindawi Publishing Corporation 2013-12-25 /pmc/articles/PMC3886397/ /pubmed/24453862 http://dx.doi.org/10.1155/2013/475939 Text en Copyright © 2013 A. Raees and H. Xu. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Raees, Ammarah
Xu, Hang
Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall
title Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall
title_full Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall
title_fullStr Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall
title_full_unstemmed Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall
title_short Explicit Solutions of a Gravity-Induced Film Flow along a Convectively Heated Vertical Wall
title_sort explicit solutions of a gravity-induced film flow along a convectively heated vertical wall
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3886397/
https://www.ncbi.nlm.nih.gov/pubmed/24453862
http://dx.doi.org/10.1155/2013/475939
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