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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Main Authors: M. Barzegar Gerdroodbary, M. Rahimi Takami, D.D. Ganji
Format: Article
Language:English
Published: Elsevier 2015-09-01
Series:Case Studies in Thermal Engineering
Subjects:
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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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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AT ddganji investigationofthermalradiationontraditionaljefferyhamelflowtostretchableconvergentdivergentchannels