Natural convection in a rectangular enclosure with two heated sections on the lower surface

International Journal of Heat and Fluid Flow

Volumn 26, Issue 4 SPEC. ISS., 2005, Pages 587-596

  Oosthuizen, Patrick H ^a   Paul, Jane T ^a  

^a QUEEN S UNIVERSITY   (Canada)

Author keywords

Enclosures; Free convection; Natural convection; Numerical; Unsteady flow

Indexed keywords

ENCLOSURES; FINITE DIFFERENCE METHOD; NUSSELT NUMBER; PRANDTL NUMBER; SURFACE PHENOMENA; THERMAL EFFECTS;

FREE CONVECTIVE FLOWS; ISOTHERMAL HEATED SECTIONS; RAYLEIGH NUMBERS; RECTANGULAR ENCLOSURES;

NATURAL CONVECTION;

HEAT TRANSFER; NATURAL CONVECTION; UNSTEADY FLOW;

EID: 21844441168     PISSN: 0142727X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatfluidflow.2005.03.006     Document Type: Article

References (44)

1. K. Aziz J.D. Hellums Numerical solution for the three-dimensional equations of motion for laminar natural convection Phys. Fluids 10 2 1967 314-324
2. M.P. Arroyo J.M. Savirón Rayleigh Bénard convection in a small box: Spatial features and thermal dependence of the velocity field J. Fluid Mech. 235 1992 325-348
3. I. Catton Convection in a closed rectangular region: The onset of motion J. Heat Transfer 92 1970 186-188
4. I. Catton The effect of insulating vertical walls on the onset of motion in a fluid heated from below Int. J. Heat Mass Transfer 15 1972 665-672
5. I. Catton Wavenumber selection in Bénard convection J. Heat Transfer 110 1988 1154-1165
6. S. Chandrasekhar Hydrodynamic and hydromagnetic stability 1981 Dover New York
7. S.H. Davis Convection in a box: Linear theory J. Fluid Mech. 30 1967 465-478
8. R. Farhadieh R.S. Tankin Interferometric study of two-dimensional Bénard convection cells J. Fluid Mech. 66 1974 739-752
9. A.Y. Gelfgat Different modes of Rayleigh Bénard instability in two- and three-dimensional rectangular enclosures J. Comput. Phys. 156 1999 300-324
10. J.P. Gollub S.V. Benson Many routes to turbulent convection J. Fluid Mech. 100 1980 449-470
11. W.L. Heitz J.W. Westwater Critical Rayleigh numbers for natural convection of water confined in square cells with L/D from 0.5 to 8 J. Heat Transfer 93 1971 188-196
12. H. Hernández R.L. Frederick Spatial and thermal features of three-dimensional Rayleigh-Bénard convection Int. J. Heat and Mass Transfer 37 3 1994 411-424
13. A. Huerta S. Fernández-Mendez Time accurate consistently stabilized mesh-free methods for convection dominated problems Int. J. Numer. Methods Eng. 50 2001 1-18
14. K.R. Kirchartz H. Oertel Three-dimensional thermal cellular convection in rectangular boxes J. Fluid Mech. 192 1988 249-286
15. P. Kolodner R.W. Walden A. Passner C.M. Surko Rayleigh-Bénard convection in an intermediate-aspect-ratio rectangular container J. Fluid Mech. 163 1986 195-226
16. E.L. Koschmieder Bénard cells and Taylor vortices 1993 Cambridge University Press Cambridge
17. R. Krishnamurti Generation of large scale circulation in turbulent convection Proc. Indian Acad. Sci. - Eng. Sci. Ser. 4 3 1981 277-293
18. W.H. Leong K.G.T. Hollands A.P. Burnger On a physically realizable benchmark problem in internal natural convection Int. J. Heat Mass Transfer 41 1998 3817-3828
19. W.H. Leong K.G.T. Hollands A.P. Burnger Experimental Nusselt numbers for a cubical-cavity benchmark problem in natural convection Int. J. Heat Mass Transfer 42 1999 1979-1989
20. S.J.M. Linthorst W.M.M. Schinkel C.J. Hoogendoorn Flow structure with natural convection in inclined air-filled enclosures J. Heat Transfer 103 1981 535-539
21. J.G. Maveety Heat transfer in Rayleigh Bénard convection with air in moderate size containers Int. J. Heat Mass Transfer 41 4-5 1997 785-796
22. D. Mukutmoni K.T. Yang Wavenumber selection for Rayleigh-Bénard convection in a small aspect ratio box Int. J. Heat Mass Transfer 33 1992 2145-2159
23. U. Muller Bénard convection in gaps and cavities In: J. Zierep H. Oertel (Eds.) Convective transport and instability 1982 G. Braun Karlsruhe 71-100
24. Oosthuizen, P.H., 1999. A numerical study of three-dimensional natural convection in a low aspect ratio horizontal enclosure with a uniform heat flux on the lower surface. In: Proc. ASME Int. Mech. Eng. Congress and Exhibition (IMECE), HTD-vol. 364-1, pp. 145-152.
25. Oosthuizen, P.H., 2000. A numerical study of three-dimensional natural convection in an enclosure with a uniform heat flux on one vertical wall. In: Proc. ASME 2000 National Heat Transfer Conference.
26. P.H. Oosthuizen Effect of aspect ratio on three-dimensional natural convection in a horizontal enclosure with a uniform heat flux on the lower surface Proc. 2nd int. workshop on scientific computing and applications Advances in computation: Theory and practice vol. 7 2001 Nova Science Pub. Inc. 237-246
27. Oosthuizen, P.H., 2001b. A numerical study of the effect of aspect ratio on three dimensional natural convection in a horizontal enclosure with a uniform heat flux on the lower surface. In: Bilgen, E., Atagunduz, G., (Eds.), Proc. 4th Int. Thermal Energy Congress, 384-389.
28. Oosthuizen, P.H., 2001c. A numerical study of the development of unsteady three-dimensional natural convective flow in a horizontal enclosure with a uniform heat flux on the lower surface. In: Proc. 2001 ASME Int. Mech. Eng. Congress and Exposition (IMECE) Paper No. IMECE2001/ HTD-24121.
29. Oosthuizen, P.H., 2002. Three-dimensional, unsteady natural convection in a partially heated horizontal enclosure. In: Proc. 8th AIAA/ASME Joint Thermophysics and Heat Transfer Conference, Paper AIAA 2002-3317.
30. Oosthuizen, P.H., 2003. Convection in a cubical enclosure with a partially heated lower surface and cooled side and top walls. In: Mohamad, A.A. (Eds.), Proc. 3rd International Conference on Computational Heat and Mass Transfer (ICCHMT), pp. 638-646.
31. Oosthuizen, P.H., Paul, J.T., 2002. The development of three-dimensional, unsteady natural convection in a horizontal enclosure with a partially heated lower surface and cooled vertical side walls. In: Proc. 12th International Heat Transfer Conference, vol. 2, pp. 63-68.
32. Oosthuizen, P.H., Paul, J.T., 1998. A numerical study of three-dimensional natural convection in a horizontal enclosure with a uniform heat flux on the lower surface. In: Proc. 11th International Heat Transfer Conference, vol. 3, pp. 391-396.
33. Oosthuizen, P.H., Paul, J.T., 2003a. Effect of vertical aspect ratio on three-dimensional unsteady natural convection in a horizontal enclosure with a partially heated lower surface and cooled vertical side-walls. In: Proc. 6th ASME-JSME Thermal Engineering Joint Conference.
34. Oosthuizen, P.H., Paul, J.T., 2003b. Three-dimensional, unsteady natural convection in a horizontal enclosure with a heated strip on the lower surface and cooled side and top surfaces. In: Proc. 19th Canadian Congress of Applied Mechanics, vol. 2, pp. 220-221.
35. Oosthuizen, P.H., Paul, J.T., 2003c. Effect of vertical aspect ratio on three-dimensional, unsteady natural convection in a horizontal enclosure with a partially heated lower surface and cooled vertical side walls. In: Proc. 2nd International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics (HEFAT).
36. H. Ozoe K. Yamamoto K.S.W. Churchill H. Sayama Three-dimensional, numerical analysis of laminar natural convection in a confined fluid heated from below J. Heat Transfer 98 1976 202-207
37. J. Pallarès M.P. Arroya F.X. Grau F. Giralt Experimental laminar Rayleigh-Bénard convection in a cubical cavity at moderate Rayleigh and Prandtl numbers Exp. Fluids 31 2001 208-218
38. I. Sezai A.A. Mohamad Natural convection from a discrete heat source on the bottom of a horizontal enclosure Int. J. Heat Mass Transfer 43-13 2000 2257-2266
39. F. Stellar G. Guj E. Leonardi The Rayleigh-Bénard problem in intermediate bounded domains J. Fluid Mech. 254 1993 375-400
40. K. Stork U. Muller Convection in a box: Experiments J. Fluid Mech. 54 1972 599-611
41. L.Q. Tang T.T.H. Tsang Temporal, spatial and thermal features of 3-D Rayleigh-Bénard convection by a least-squares finite element method Comput. Methods Appl. Mech. Eng. 140 1997 201-219
42. D.J Tritton Physical fluid dynamics 1977 Van Nostrand Reinhold (UK) Co. Ltd. Wokingham, Berkshire, England pp. 30-41
43. J.S. Turner Buoyancy effects in fluids 1979 Cambridge University Press Cambridge
44. K.Y. Yang J. Transitions and bifurcations in laminar buoyant flows in confined enclosures J., Heat Transfer 110 1988 1191-1204