Investigation of thermal radiation on traditional Jeffery–Hamel flow to stretchable convergent/divergent channels
In the present paper, the influence of thermal radiation on the classical Jeffery–Hamel flow due to a point source or sink in convergent/divergent channels is investigated for the case where the stationary channel walls are permitted to stretch or shrink. Similarity transformations are used to conve...
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Format: | Article |
Language: | English |
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Elsevier
2015-09-01
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Series: | Case Studies in Thermal Engineering |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X15000179 |
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author | M. Barzegar Gerdroodbary M. Rahimi Takami D.D. Ganji |
author_facet | M. Barzegar Gerdroodbary M. Rahimi Takami D.D. Ganji |
author_sort | M. Barzegar Gerdroodbary |
collection | DOAJ |
description | In the present paper, the influence of thermal radiation on the classical Jeffery–Hamel flow due to a point source or sink in convergent/divergent channels is investigated for the case where the stationary channel walls are permitted to stretch or shrink. Similarity transformations are used to convert the nonlinear boundary layer equations for momentum and thermal energy are reduced to a system of nonlinear ordinary differential equations containing the Prandtl number, angle of convergent/divergent, thermal radiation and Reynolds number with appropriate boundary conditions. These equations are solved analytically by applying integral methods (Collocation method and Least-Square method). Results show that the heat features are considerably altered by the application of the thermal radiation of the walls. The effects of various physical parameters on the dimensionless velocity and temperature profiles are presented graphically. In addition, numerical results for the local skin friction coefficient and the heat transfer rate are discussed. It is found that the temperature profiles increase with an increase in the thermal radiation parameter. |
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format | Article |
id | doaj.art-dcdf32e6fe634aa0b5e080311fa63e53 |
institution | Directory Open Access Journal |
issn | 2214-157X |
language | English |
last_indexed | 2024-12-12T06:04:36Z |
publishDate | 2015-09-01 |
publisher | Elsevier |
record_format | Article |
series | Case Studies in Thermal Engineering |
spelling | doaj.art-dcdf32e6fe634aa0b5e080311fa63e532022-12-22T00:35:19ZengElsevierCase Studies in Thermal Engineering2214-157X2015-09-016C283910.1016/j.csite.2015.04.002Investigation of thermal radiation on traditional Jeffery–Hamel flow to stretchable convergent/divergent channelsM. Barzegar Gerdroodbary0M. Rahimi Takami1D.D. Ganji2Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, IranNiroo Research Institute (NRI), P.O. Box 14655-517, Tehran, IranDepartment of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, IranIn the present paper, the influence of thermal radiation on the classical Jeffery–Hamel flow due to a point source or sink in convergent/divergent channels is investigated for the case where the stationary channel walls are permitted to stretch or shrink. Similarity transformations are used to convert the nonlinear boundary layer equations for momentum and thermal energy are reduced to a system of nonlinear ordinary differential equations containing the Prandtl number, angle of convergent/divergent, thermal radiation and Reynolds number with appropriate boundary conditions. These equations are solved analytically by applying integral methods (Collocation method and Least-Square method). Results show that the heat features are considerably altered by the application of the thermal radiation of the walls. The effects of various physical parameters on the dimensionless velocity and temperature profiles are presented graphically. In addition, numerical results for the local skin friction coefficient and the heat transfer rate are discussed. It is found that the temperature profiles increase with an increase in the thermal radiation parameter.http://www.sciencedirect.com/science/article/pii/S2214157X15000179Thermal radiationJeffery–Hamel flowConvergent/divergent channelsIntegral method |
spellingShingle | M. Barzegar Gerdroodbary M. Rahimi Takami D.D. Ganji Investigation of thermal radiation on traditional Jeffery–Hamel flow to stretchable convergent/divergent channels Case Studies in Thermal Engineering Thermal radiation Jeffery–Hamel flow Convergent/divergent channels Integral method |
title | Investigation of thermal radiation on traditional Jeffery–Hamel flow to stretchable convergent/divergent channels |
title_full | Investigation of thermal radiation on traditional Jeffery–Hamel flow to stretchable convergent/divergent channels |
title_fullStr | Investigation of thermal radiation on traditional Jeffery–Hamel flow to stretchable convergent/divergent channels |
title_full_unstemmed | Investigation of thermal radiation on traditional Jeffery–Hamel flow to stretchable convergent/divergent channels |
title_short | Investigation of thermal radiation on traditional Jeffery–Hamel flow to stretchable convergent/divergent channels |
title_sort | investigation of thermal radiation on traditional jeffery hamel flow to stretchable convergent divergent channels |
topic | Thermal radiation Jeffery–Hamel flow Convergent/divergent channels Integral method |
url | http://www.sciencedirect.com/science/article/pii/S2214157X15000179 |
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