Mixed convection analysis in trapezoidal cavity with a moving lid

Mixed convection heat transfers in a two-dimensional trapezoidal cavity with constant heat flux at the heated bottom wall while the isothermal moving top wall in the horizontal direction has been studied numerically. Control Volume based finite volume method (FVM) has been used to discretize the gov...

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Main Authors: Mamun, M.A.H., Tanim, T.R., Rahman, M.M., Saidur, Rahman, Nagata, S.
Format: Article
Language:English
Published: International Journal of Mechanical and Materials Engineering 2010
Subjects:
Online Access:http://eprints.um.edu.my/6750/1/Mixed_convection_analysis_in_trapezoidal_cavity_with_a_moving_lid.pdf
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author Mamun, M.A.H.
Tanim, T.R.
Rahman, M.M.
Saidur, Rahman
Nagata, S.
author_facet Mamun, M.A.H.
Tanim, T.R.
Rahman, M.M.
Saidur, Rahman
Nagata, S.
author_sort Mamun, M.A.H.
collection UM
description Mixed convection heat transfers in a two-dimensional trapezoidal cavity with constant heat flux at the heated bottom wall while the isothermal moving top wall in the horizontal direction has been studied numerically. Control Volume based finite volume method (FVM) has been used to discretize the governing differential equations. The pressure- velocity coupling in the governing equations is achieved by using the well known SIMPLE method for numerical computations. A second order upwind differencing scheme is to be used for the formulation of the coefficients in the finite-volume equations. All computations are to be done for a range of Richardson number, Ri from 0.1 to 10 and the aspect ratio, A are to be changed from 0.5 to 2 for a fluid having Prandtl number equal to 0.71 (air). First the optimum configuration of the trapezoidal cavity has been obtained by changing the inclination angle, γ of the side walls. Then the effect of Richardson number, aspect ratio, and Rotation angle, � (30deg;, 45° and 60°) of the optimum trapezoidal cavity has been studied by changing the desired parameter. Results have been presented in the form of streamline and isotherm plots as well as the variation of the Nusselt number at the heat source surface under different conditions. The results shows that with increasing Ri, the heat transfer rate increases as natural convection dominates. The rotational angle of the trapezoidal cavity and the direction of the lid motion affect the heat transfer rate significantly. Optimum heat transfer rate is obtained at aiding flow condition having higher values of Ri.
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spelling um.eprints-67502019-10-25T06:10:12Z http://eprints.um.edu.my/6750/ Mixed convection analysis in trapezoidal cavity with a moving lid Mamun, M.A.H. Tanim, T.R. Rahman, M.M. Saidur, Rahman Nagata, S. TA Engineering (General). Civil engineering (General) TJ Mechanical engineering and machinery Mixed convection heat transfers in a two-dimensional trapezoidal cavity with constant heat flux at the heated bottom wall while the isothermal moving top wall in the horizontal direction has been studied numerically. Control Volume based finite volume method (FVM) has been used to discretize the governing differential equations. The pressure- velocity coupling in the governing equations is achieved by using the well known SIMPLE method for numerical computations. A second order upwind differencing scheme is to be used for the formulation of the coefficients in the finite-volume equations. All computations are to be done for a range of Richardson number, Ri from 0.1 to 10 and the aspect ratio, A are to be changed from 0.5 to 2 for a fluid having Prandtl number equal to 0.71 (air). First the optimum configuration of the trapezoidal cavity has been obtained by changing the inclination angle, γ of the side walls. Then the effect of Richardson number, aspect ratio, and Rotation angle, � (30deg;, 45° and 60°) of the optimum trapezoidal cavity has been studied by changing the desired parameter. Results have been presented in the form of streamline and isotherm plots as well as the variation of the Nusselt number at the heat source surface under different conditions. The results shows that with increasing Ri, the heat transfer rate increases as natural convection dominates. The rotational angle of the trapezoidal cavity and the direction of the lid motion affect the heat transfer rate significantly. Optimum heat transfer rate is obtained at aiding flow condition having higher values of Ri. International Journal of Mechanical and Materials Engineering 2010 Article PeerReviewed application/pdf en http://eprints.um.edu.my/6750/1/Mixed_convection_analysis_in_trapezoidal_cavity_with_a_moving_lid.pdf Mamun, M.A.H. and Tanim, T.R. and Rahman, M.M. and Saidur, Rahman and Nagata, S. (2010) Mixed convection analysis in trapezoidal cavity with a moving lid. International Journal of Mechanical and Materials Engineering, 5 (1). pp. 18-28. ISSN 1823-0334, http://www.scopus.com/inward/record.url?eid=2-s2.0-77953004736&partnerID=40&md5=fd81fe7d98ce21dbb1ea367a8aaec001
spellingShingle TA Engineering (General). Civil engineering (General)
TJ Mechanical engineering and machinery
Mamun, M.A.H.
Tanim, T.R.
Rahman, M.M.
Saidur, Rahman
Nagata, S.
Mixed convection analysis in trapezoidal cavity with a moving lid
title Mixed convection analysis in trapezoidal cavity with a moving lid
title_full Mixed convection analysis in trapezoidal cavity with a moving lid
title_fullStr Mixed convection analysis in trapezoidal cavity with a moving lid
title_full_unstemmed Mixed convection analysis in trapezoidal cavity with a moving lid
title_short Mixed convection analysis in trapezoidal cavity with a moving lid
title_sort mixed convection analysis in trapezoidal cavity with a moving lid
topic TA Engineering (General). Civil engineering (General)
TJ Mechanical engineering and machinery
url http://eprints.um.edu.my/6750/1/Mixed_convection_analysis_in_trapezoidal_cavity_with_a_moving_lid.pdf
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