Reynolds and prandtl numbers effects on mhd mixed convection in a lid-driven cavity along with joule heating and a centered heat conducting circular block

Rahman, M.M. and Billah, M.M. and Mamun, M.A.H. and Saidur, Rahman and Hasanuzzaman, M. (2010) Reynolds and prandtl numbers effects on mhd mixed convection in a lid-driven cavity along with joule heating and a centered heat conducting circular block. International Journal of Mechanical and Materials Engineering, 5 (2). pp. 163-170. ISSN 1823-0334

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Abstract

The fluid flows and heat transfer induced by the combined effects of mechanically driven lid and buoyancy force within a rectangular cavity is investigated in this paper numerically. The horizontal walls of the enclosure are insulted while the right vertical wall is maintained at a uniform temperature higher than the left vertical wall. In addition, it contains a heat conducting horizontal circular block in its centre. The governing equations for the problem are first transformed into a non-dimensional form and the resulting nonlinear system of partial differential equations are solved by using the finite element formulation based on the Galerkin method of weighted residuals. The analysis is conducted by observing the variations of streamlines and isotherms for different Reynolds number and Prandtl number ranging from 50 to 200 and from 0.071 to 3.0 respectively. The results indicated that both the streamlines and isotherms strongly depend on the Reynolds number and Prandtl number. Moreover, the results of this investigation are also illustrated by the variations of average Nusselt number on the heated surface and average fluid temperature in the enclosure.

Item Type: Article
Additional Information: Cited By (since 1996): 3 Export Date: 6 December 2012 Source: Scopus Language of Original Document: English Correspondence Address: Rahman, M. M.; Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka-1000, Bangladesh; email: mmustafizurrahman@math.buet.ac.bd References: Aydin, O., Yang, W.J., Mixed convection in cavities with a locally heated lower wall and moving sidewalls (2000) Numer. Heat Transfer, Part A, 37, pp. 695-710; Braga, E.J., De Lemos, M.J.S., Laminar natural convection in cavities filed with circular and square rods (2005) Int. Commun, in Heat and Mass Transfer, 32, pp. 1289-1297; Chamkha, A.J., Hydromagnetic combined convection flow in a vertical lid-driven cavity with internal heat generation or absorption (2002) Numer. Heat Transfer, Part A, 41, pp. 529-546; Dong, S.F., Li, Y.T., Conjugate of natural convection and conduction in a complicated enclosure (2004) Int. J. of Heat and Mass Transfer, 47, pp. 2233-2239; Garandet, J.P., Alboussiere, T., Moreau, R., Buoyancy driven convection in a rectangular enclosure with a transverse magnetic field (1992) Int. J. of Heat Mass Transfer, 35, pp. 741-748; Hasanuzzaman, M., Saidur, R., Masjuki, H.H., Effects of operating variables on heat transfer, energy losses and energy consumption of household refrigerator-freezer during the closed door operation (2009) Energy, 34 (2), pp. 196-198; Hasanuzzaman, M., Saidur, R., Ali, M., Masjuki, H.H., Effects of variables on natural convective heat transfer through V-corrugated vertical plates (2007) International Journal of Mechanical and Materials Engineering, 2 (2), pp. 109-117; Kumar De, A., Dalal, A., A numerical study of natural convection around a square, horizontal, heated cylinder placed in an enclosure (2006) Int. J. of Heat and Mass Transfer, 49, pp. 4608-4623; Lee, J.R., Ha, M.Y., A numerical study of natural convection in a horizontal enclosure with a conducting body (2005) Int. J. of Heat and Mass Transfer, 48, pp. 3308-3318; Lee, J.R., Ha, M.Y., Numerical simulation of natural convection in a horizontal enclosure with a heatgenerating conducting body (2006) Int. J. of Heat and Mass Transfer, 49, pp. 2684-2702; Moallemi, M.K., Jang, K.S., Prandtl number effects on laminar mixed convection heat transfer in a liddriven cavity (1992) Int. J. Heat and Mass Transfer, 35, pp. 1881-1892; Oztop, H.F., Dagtekin, I., Mixed convection in twosided lid-driven differentially heated square cavity (2004) Int. J. of Heat and Mass Transfer, 47, pp. 1761-1769; Rahman, M.M., Alim, M.A., Chowdhury, M.K., Magneto hydrodynamics mixed convection around a heat conducting horizontal circular cylinder in a rectangular lid-driven cavity with joule heating (2009) J. of Sci. Res., 1 (3), pp. 461-472; Rahman, M.M., Mamun, M.A.H., Saidur, R., Shuichi, N., Effect of a heat conducting horizontal circular cylinder on MHD mixed convection in a liddriven cavity along with joule heating (2009) Int. J. on Mechanical & Materials Eng., 4 (3), pp. 256-265; Rahman, M.M., Alim, M.A., Mamun, M.A.H., Finite Element Analysis of Mixed Convection in a Rectangular Cavity with a Heat-Conducting Horizontal Circular Cylinder (2009) Nonlinear Analysis: Modelling and Control, 14 (2), pp. 217-247; Roychowdhury, D.G., Das, S.K., Sundararajan, T.S., Numerical simulation of natural convection heat transfer and fluid flow around a heated cylinder inside an enclosure (2002) Heat and Mass Transfer, 38, pp. 565-576; Rudraiah, N., Barron, R.M., Venkatachalappa, M., Subbaraya, C.K., Effect of magnetic field on free convection in a rectangular enclosure (1995) Int. J. Engng. Sci., 33, pp. 1075-1084; Rudraiah, N., Venkatachalappa, M., Subbaraya, C.K., Combined surface tension and buoyancy-driven convection in a rectangular open cavity in the presence of magnetic field (1995) Int. J. Non-linear Mech., 30 (5), pp. 759-770
Uncontrolled Keywords: Circular block and enclosure; Galerkin method; Mixed convection.
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 08:18
Last Modified: 25 Oct 2019 06:09
URI: http://eprints.um.edu.my/id/eprint/6746

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