Finite element simulation of natural convection flow in a trapezoidal enclosure filled with porous medium due to uniform and non-uniform heating

International Journal of Heat and Mass Transfer

Volumn 52, Issue 1-2, 2009, Pages 70-78

  Basak, Tanmay ^a   Roy, S ^a   Singh, Amit ^a   Pop, I ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

^b BABE BOLYAI UNIVERSITY   (Romania)

Author keywords

Natural convection; Penalty finite element method; Porous medium; Trapezoidal cavity; Uniform and non uniform heating

Indexed keywords

ELECTRIC FIELD EFFECTS; ENCLOSURES; FLOW SIMULATION; HEAT CONDUCTION; HEAT CONVECTION; HEAT EXCHANGERS; HEAT TRANSFER; HEATING; HEATING EQUIPMENT; NATURAL CONVECTION; NUSSELT NUMBER; POROUS MATERIALS; PRANDTL NUMBER; SPECIFIC HEAT; THERMOANALYSIS; TURBULENT FLOW;

BOTTOM WALLS; COLD TEMPERATURES; CONSISTENT PERFORMANCES; DARCY NUMBERS; DOMINANT REGIONS; FINITE ELEMENT ANALYSIS; FINITE ELEMENT SIMULATIONS; HEAT TRANSFER RATES; ISOTHERM CONTOURS; NATURAL CONVECTION FLOWS; NON UNIFORMS; NUMERICAL APPROACHES; PARAMETRIC STUDIES; PENALTY FINITE ELEMENT METHOD; POROUS MATRIXES; POROUS MEDIUM; POROUS MEDIUMS; QUADRATIC ELEMENTS; RAYLEIGH; RAYLEIGH NUMBERS; STREAM FUNCTIONS; THREE PARAMETERS; TRAPEZOIDAL CAVITY; UNIFORM AND NON-UNIFORM HEATING; UNIFORM HEATING; VERTICAL WALLS;

FINITE ELEMENT METHOD;

EID: 56949088982     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2008.03.032     Document Type: Article

References (29)

1. Laguerre O., Amara S.B., and Flick D. Experimental study of heat transfer by natural convection in a closed cavity: application in a domestic refrigerator. J. Food Eng. 70 (2005) 523-537
2. EL-Kabeir S.M.M., Rashad A.M., and Reddy Gorla R.S. Unsteady MHD combined convection over a moving vertical sheet in a fluid saturated porous medium with uniform surface heat flux. Math. Comput. Model. 46 (2007) 384-397
3. You X.Y. Estimating the onset of natural convection in a horizontal layer of a fluid with a temperature-dependent viscosity. Chem. Eng. J. 84 (2001) 63-67
4. Al-Hazmy M.M. Analysis of coupled natural convection-conduction effects on the heat transport through hollow building blocks. Energ. Buildings 38 (2006) 515-521
5. Asan H., and Namli L. Laminar natural convection in a pitched roof of triangular cross-section: summer day boundary conditions. Energ. Buildings 33 (2000) 69-73
6. Jain D., and Tiwari G.N. Effect of greenhouse on crop drying under natural and forced convection I: Evaluation of convective mass transfer coefficient. Energ. Convers. Manage. 45 (2004) 765-783
7. Omri A., Orfi J., and Nasrallah S.B. Natural convection effects in solar stills. Desalination 183 (2005) 173-178
8. Omri A. Numerical investigation on optimization of a solar distiller dimensions. Desalination 206 (2007) 373-379
9. Nakanoa A., Ozoea H., and Churchill S.W. Numerical computation of natural convection for a low-Prandtl-number fluid in a shallow rectangular region heated from below. Chem. Eng. J. 71 (1998) 175-182
10. Bejan A., and Poulikakos D. The nondarcy regime for vertical boundary layer natural convection in porous medium. Int. J. Heat Mass Tran. 27 (1984) 717-722
11. Nield D.A., and Bejan A. Convection in Porous Media. 2nd ed. (1999), Springer, New York
12. Ingham D.B., and Pop I. Transport Phenomena in Porous Media (1998), Pergamon
13. Poulikakos D., Bejan A., Selimos B., and Blake K.R. High Rayleigh number convection in the fluid overlaying a porous bed. Int. J. Heat Mass Tran. 7 (1986) 109-116
14. Walker K.L., and Homsy G.M. Convection in porous cavity. J. Fluid Mech. 87 (1978) 449-474
15. Tong T.W., and Subramanian E. Boundary layer analysis for natural convection in porous enclosure: use of Brinkman-extended Darcy formulation. Int. J. Heat Mass Tran. 28 (1985) 563-571
16. Lauriat G., and Prasad V. Natural convection in a vertical porous cavity: a numerical study for Brinkman-extended Darcy formulation. Trans. ASME J. Heat Tran. 109 (1987) 295-320
17. Brinkman H.C. On the permeability of media consisting of closely packed porous particles. Appl. Sci. Res. 1 (1947) 81-86
18. Vafai K., and Tien C.L. Boundary and inertia effects on flow and heat transfer in porous media. Int. J. Heat Mass Tran. 24 (1981) 195-203
19. Poulikakos D., and Bejan A. The departure from Darcy flow in natural convection in a vertical porous layer. Int. J. Heat Mass Tran. 28 (1985) 3477-3484
20. Lauriat G., and Prasad V. NonDarcian effects on natural convection in a vertical porous enclosure. Int. J. Heat Mass Tran. 32 (1989) 2135-2148
21. Saeid N.H., and Pop I. Viscous dissipation effects on free convection in a porous cavity. Int. Commun. Heat Mass Tran. 31 (2004) 723-732
22. Basak T., Roy S., Paul T., and Pop I. Natural convection in a square cavity filled with a porous medium: effects of various thermal boundary conditions. Int. J. Heat Mass Tran. 49 (2006) 1430-1441
23. Baytas A.C., and Pop I. Natural convection in a trapezoidal enclosure filled with a porous medium. Int. J. Eng. Science 39 (2001) 125-134
24. Reddy J.N. An Introduction to the Finite Element Method (1993), McGraw-Hill, New York
25. Chung T.J. Computational Fluid Dynamics (2002), Cambridge University Press, London
26. Du Z.-G., and Bilgen E. Natural convection in vertical cavities with internal heat generating porous medium. Warme-und Stoffubertr 27 (1992) 149-155
27. Batchelor G.K. An Introduction to Fluid Dynamics (1993), Cambridge University Press
28. Natarajan E., Basak T., and Roy S. Natural convection flow in a trapezoidal enclosure with uniform and non-uniform heating of bottom wall. Int. J. Heat Mass Tran. 51 (2008) 747-756
29. Ganzarolli M.M., and Milanez L.F. Natural convection in rectangular enclosures heated from below and symmetrically cooled from the sides. Int. J. Heat Mass Tran. 38 (1995) 1063-1073