Effect of a heat conducting horizontal circular cylinder on MHD mixed convection in a lid-driven cavity along with joule heating

Rahman, M.M. and Mamun, M.A.H. and Saidur, Rahman and Nagata, S. (2009) Effect of a heat conducting horizontal circular cylinder on MHD mixed convection in a lid-driven cavity along with joule heating. International Journal of Mechanical and Materials Engineering, 4 (3). pp. 256-265. ISSN 18230334

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Abstract

Magnetohydrodynamic (MHD) mixed convection in a liddriven cavity along with joule heating is studied numerically. The cavity consists of adiabatic horizontal walls and differentially heated vertical walls, but it also contains a heat conducting horizontal circular cylinder located somewhere within the cavity. The aim of the study is to delineate the effect of such a cylinder on the flow and temperature fields. The governing equations are first transformed into a non- dimensional form and resulting nonlinear system of partial differential equations are then solved by using Galerkin weighted residual method of finite element formulation. The analysis is conducted by observing variations of the streamlines and isotherms for the size, locations and thermal conductivity of the cylinder at the Richardson number Ri ranging from 0.0 to 5.0, Prandtl number Pr = 0.71 and Reynolds number Re = 100 with constant physical properties. The results indicated that both the streamlines and isotherms strongly depend on the size and locations of the inner cylinder, but the thermal conductivity of the cylinder has significant effect only on the isothermal lines. The variations of average Nusselt number on the hot wall and average fluid temperature in the cavity are also presented to show the overall heat transfer characteristics inside the cavity.

Item Type: Article
Additional Information: Cited By (since 1996): 5 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., Aiding and opposing mechanisms of mixed convection in a shear-buoyancy driven cavity (1999) Int. Commun. Heat Mass Transfer, 26, pp. 1019-1028; 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., 2005. Laminar natural convection in cavities filed with circular and square rods, Int. Commun. in Heat and Mass Transfer, 32, pp. 1289-1297Chamkha, 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; Guo, G., Sharif, M. A. R., 2004. Mixed convection in rectangular cavities at various aspect ratios with moving isothermal sidewalls and constant flux heat source on the bottom wall, Int. J. of Thermal Sciences, 43, pp. 465-475Hossain, M.A., Gorla, R.S.R., Effect of viscous dissipation on mixed convection flow of water near its density maximum in a rectangular enclosure with isothermal wall (2006) Int. J. of Numer. Methods for Heat and Fluid Flow, 16 (1), pp. 5-17; Jaluria, Y., Torrance, K.E., (1986) Computational Heat Transfer, , Hemisphere, Washington; Kumar De, A., Dalai, 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 heat-generating conducting body (2006) Int. J. of Heat and Mass Transfer, 49, pp. 2684-2702; Luo, W.J., Yang, R.J., Multiple fluid flow and heat transfer solutions in a two-sided lid-driven cavity (2007) Int. J. of Heat and Mass Transfer, 50, pp. 2394-2405; Moallemi, M.K., Jang, K.S., Prandtl number effects on laminar mixed convection heat transfer in a lid-driven cavity (1992) Int. J. Heat and Mass Transfer, 35, pp. 1881-1892; Oztop, H.F., Dagtekin, I., Mixed convection in two-sided lid-driven differentially heated square cavity (2004) Int. J. of Heat and Mass Transfer, 47, pp. 1761-1769; Prasad, A.K., Koseff, J.R., Combined forced and natural convection heat transfer in a deep lid-driven cavity flow (1996) Int. J. Heat and Fluid Flow, 17, pp. 460-467; Rahman, M.M., Alim, M.A., Mamun, M.A.H., (2009) Finite Element Analysis of Mixed Convection in a Rectangular Cavity with a Heat-Conducting Horizontal Circular Cylinder, Nonlinear Analysis: Modelling and Control, 14 (2), pp. 217-247; Rahman, M. M., Alim, M. A., Chowdhury, M. K., 2009a. Magneto hydrodynamics mixed convection around a heat conducting horizontal circular cylinder in a rectangular lid-driven cavity with joule heating, J. of Sci. Res., 1, No. 3, pp. 461-472Roychowdhury, 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 cylinder, Finite element method, Joule heating and Magnetohydrodynamic, Lid-driven cavity, 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: 08 Jul 2013 00:57
Last Modified: 25 Oct 2019 06:06
URI: http://eprints.um.edu.my/id/eprint/6780

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