Mixed convection analysis in trapezoidal cavity with a moving lid

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

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Abstract

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.

Item Type: Article
Additional Information: Cited By (since 1996): 2 Export Date: 6 December 2012 Source: Scopus Language of Original Document: English Correspondence Address: Mamun, M. A. H.; Institute of Ocean Energy, Saga University, 1 Honjo-machi, Saga 840-8502, Japan; email: hasan@ioes.saga-u.ac.jp References: Cha, C.K., Jaluria, Y., Recirculating mixed convection flow for energy extraction (1984) Int. J. Heat Mass Transfer, 27, pp. 1801-1810; Imberger, J., Hamblin, P.F., Dynamics of lakes, reservoirs, and cooling ponds (1982) A. Rev. FIuid Mech., 14, pp. 153-187; Ideriah, F.J.K., Prediction of turbulent cavity flow driven by buoyancy and shear (1980) J. Mech. Eng. Sci., 22, pp. 287-295; Pilkington, L.A.B., Review lecture: The float glass process (1959) Proc. R. Sot. Lond., IA 314, pp. 1-25; Aydin, O., Yang, W.J., Mixed convection in cavities with a locally heated lower wall and moving sidewalls, Numer (2000) Heat Transfer, Part A, 37, pp. 695-710; Shankar, P.N., Meleshko, V.V., Nikiforovich, E.I., Slow mixed convection in rectangular containers (2002) J. Fluid Mech, 471, pp. 203-217; Oztop, H.F., Dagtekin, I., Mixed convection in two-sided lid-driven differentially heated square cavity (2004) Int. J. Heat Mass Transfer, 47, pp. 1761-1769; Sharif, M.A.R., Laminar mixed convection in shallow inclined driven cavities with hot moving lid on top and cooled from bottom (2007) Applied Thermal Engineering, 27, pp. 1036-1042; Guo, G., Sharif M.A., R., Mixed convection in rectangular cavities at various aspect ratios with moving isothermal sidewalls and constant flux heat source on the bottom wall (2004) Int. J. Thermal Sciences, 43, pp. 465-475; Basak, T., Roy, S., Singh, S.K., Pop I, Analysis of mixed convection in a lid-driven porous square cavity with linearly heated side wall(s) (2010) Int. J. Heat Mass Transfer, 53, pp. 1819-1840
Uncontrolled Keywords: Finite volume method; Lid-driven cavity; Mixed convection; Trapezoidal cavity.
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TJ Mechanical engineering and machinery
Divisions: Faculty of Engineering
Depositing User: Mr Jenal S
Date Deposited: 05 Jul 2013 08:20
Last Modified: 25 Oct 2019 06:10
URI: http://eprints.um.edu.my/id/eprint/6750

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