Flow and Heat Transfer in a Liquid Film over a Permeable Stretching Sheet

Flow and Heat Transfer in a Liquid Film over a Permeable Stretching Sheet

An analysis has been carried out to study the flow and heat transfer in a liquid film over a permeable stretching sheet. Using similarity transformations, the time-dependent boundary layer equations are reduced to a set of nonlinear ordinary differential equations. The resulting parameter problem an...

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Main Authors: R. C. Aziz, I. Hashim, A. K. Alomari
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/487586
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spelling doaj-0b0a62e6f13b4841b7c68952a056b9322020-11-24T22:09:45ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/487586487586Flow and Heat Transfer in a Liquid Film over a Permeable Stretching SheetR. C. Aziz0I. Hashim1A. K. Alomari2Faculty of Science and Technology, Open University Malaysia, 50480 Kuala Lumpur, MalaysiaCentre for Modelling and Data Analysis, School of Mathematical Sciences, The National University of Malaysia, 43600 Bangi, MalaysiaDepartment of Mathematics, Faculty of Science, The Hashemite University, Zarqa 13115, JordanAn analysis has been carried out to study the flow and heat transfer in a liquid film over a permeable stretching sheet. Using similarity transformations, the time-dependent boundary layer equations are reduced to a set of nonlinear ordinary differential equations. The resulting parameter problem and velocity as well as temperature fields are solved using the homotopy analysis method (HAM). Analytic series solutions are given, and numerical results for velocity and the temperature profiles are presented through graphs of different values for pertinent parameter. The effects of unsteadiness parameter and permeability parameter on the velocity and temperature profiles are explored for different values of blowing or suction parameter.http://dx.doi.org/10.1155/2013/487586
collection DOAJ
language English
format Article
sources DOAJ
author R. C. Aziz
I. Hashim
A. K. Alomari
spellingShingle R. C. Aziz
I. Hashim
A. K. Alomari
Flow and Heat Transfer in a Liquid Film over a Permeable Stretching Sheet
Journal of Applied Mathematics
author_facet R. C. Aziz
I. Hashim
A. K. Alomari
author_sort R. C. Aziz
title Flow and Heat Transfer in a Liquid Film over a Permeable Stretching Sheet
title_short Flow and Heat Transfer in a Liquid Film over a Permeable Stretching Sheet
title_full Flow and Heat Transfer in a Liquid Film over a Permeable Stretching Sheet
title_fullStr Flow and Heat Transfer in a Liquid Film over a Permeable Stretching Sheet
title_full_unstemmed Flow and Heat Transfer in a Liquid Film over a Permeable Stretching Sheet
title_sort flow and heat transfer in a liquid film over a permeable stretching sheet
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description An analysis has been carried out to study the flow and heat transfer in a liquid film over a permeable stretching sheet. Using similarity transformations, the time-dependent boundary layer equations are reduced to a set of nonlinear ordinary differential equations. The resulting parameter problem and velocity as well as temperature fields are solved using the homotopy analysis method (HAM). Analytic series solutions are given, and numerical results for velocity and the temperature profiles are presented through graphs of different values for pertinent parameter. The effects of unsteadiness parameter and permeability parameter on the velocity and temperature profiles are explored for different values of blowing or suction parameter.
url http://dx.doi.org/10.1155/2013/487586
work_keys_str_mv AT rcaziz flowandheattransferinaliquidfilmoverapermeablestretchingsheet
AT ihashim flowandheattransferinaliquidfilmoverapermeablestretchingsheet
AT akalomari flowandheattransferinaliquidfilmoverapermeablestretchingsheet
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