Natural convection in a horizontal layer of fluid with a periodic array of square cylinders in the interior

Physics of Fluids

Volumn 16, Issue 4, 2004, Pages 1097-1117

  Lee, Jae Ryong ^a   Ha, Man Yeong ^a   Balachandar, S ^b   Yoon, Hyun Sik ^a   Lee, Sang San ^c  

^a Pusan National University   (South Korea)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^c Korea Institute of Science and Technology Information (KISTI)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BOUNDARY CONDITIONS; CHEBYSHEV APPROXIMATION; COOLING; FLOW OF FLUIDS; HEAT TRANSFER;

ALIPHATIC SIDE BOUNDARIES; FLOW STRUCTURE;

NATURAL CONVECTION;

CYLINDER; GEOMETRY; HEAT TRANSFER; NATURAL CONVECTION; TWO-DIMENSIONAL FLOW;

EID: 1842634242     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1649989     Document Type: Article

References (26)

1. P. G. Drazin and W. H. Reid, Hydrodynamic Stability (Cambridge University Press, Cambridge, UK, 1981).
2. F. B. Lipps, "Numerical simulation of three-dimensional Bénard convection in air," J. Fluid Mech. 75, 113 (1976).
3. J. W. Deardorff and G. E. Willis, "The effect of two-dimensionality on the suppression of thermal turbulence," J. Fluid Mech. 23, 337 (1965).
4. F. B. Lipps and C. J. Somerville, "Dynamics of variable wavelength in finite-amplitude Bénard convection," Phys. Fluids 14, 759 (1971).
5. G. E. Willis and J. W. Deardorff, "Measurements on the development of thermal turbulence in air between horizontal plates." Phys. Fluids 8, 2225 (1965).
6. S. Balachandar, M. R. Maxey, and L. Sirovich, "Numerical simulation of high Rayleigh number convection." J. Sci. Comput. 4, 219 (1988).
7. S. Balachandar and L. Sirovich, "Probability distribution functions in turbulent convection," Phys. Fluids A 3, 919 (1991).
8. J. M. House, C. Beckermann, and T. F. Smith, "Effect of a centered conducting body on natural convection heat transfer in an enclosure," Numer. Heat Transfer, Part A 18, 213 (1990).
9. J. Y. Oh, M. Y. Ha, and K. C. Kim, "Numerical study of heat transfer and flow of natural convection in an enclosure with a heat-generating conducting body," Numer. Heat Transfer, Part A 31, 289 (1997).
10. M. Y. Ha, M. J. Jung, and Y. S. Kim, "A numerical study on transient heat transfer and fluid flow of natural convection in an enclosure with a heat-generating conducting body," Numer. Heat Transfer, Part A 35, 415 (1999).
11. G. D. Mallinson and G. de Vahl Davis, "Three-dimensional natural convection in a box: A numerical study," J. Fluid Mech. 83, 1 (1977).
12. G. de Vahl Davis, "Natural convection of air in a square cavity: A bench mark numerical solution," Int. J. Numer. Methods Fluids 3, 249 (1983).
13. R. A. W. M. Henkes and C. J. Hoogendoorn, "Scaling of turbulent natural convection flow in a heated square cavity," ASME J. Heat Transfer 116, 400 (1994).
14. M. Y. Ha, H. S. Yoon, K. S. Yoon, S. Balachandar, I. Kim, J. R. Lee, and H. H. Chun, "Two-dimensional and unsteady natural convection in a horizontal enclosure with a square body," Numer. Heat Transfer, Part A 41, 183 (2002).
15. M. Y. Ha, I. K. Kim, H. S. Yoon, and S. Lee, "Unsteady fluid flow and temperature fields in a horizontal enclosure with an adiabatic body," Phys. Fluids 14, 3189 (2002).
16. C. L. Streett and M. G. Macaraeg, "Spectral multi-domain for large-scale fluid dynamic simulations," Appl. Numer. Math. 6, 123 (1989/90).
17. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer Verlag, New York, 1988).
18. S. J. Parker, "Stability and vortex shedding of bluff body arrays," Ph.D. thesis, University of Illinois, Urbana, IL, 2002.
19. W. Brown, "Heat-flux transition at low Rayleigh number," J. Fluid Mech. 14, 759 (1973).
20. R. E. Kelly and D. Pal, "Thermal convection with spatially periodic boundary conditions: Resonant wavelength excitation," J. Fluid Mech. 86, 433 (1978).
21. R. Krishnamurti and L. N. Howard, "Large-scale flow generation in turbulent convection," Proc. Natl. Acad. Sci. U.S.A. 78, 1981 (1981).
22. S. Balachandar, D. A. Yuen, and D. Reuteler, "High Rayleigh number convection at infinite Prandtl number with weakly temperature-dependent viscosity," Geophys. Astrophys. Fluid Dyn. 83, 79 (1996).
23. F. H. Busse, "Generation of mean flows by thermal convection," Physica D 9, 287 (1983).
24. K. R. Sreenivasan, A. Bershadskii, and J. J. Niemela, "Mean wind and its reversal in thermal convection," Phys. Rev. E 65, 056306 (2002).
25. S. Childress, "Eulerian mean flow from an instability of convective plumes," Chaos 10, 28 (2000).
26. J. J. Niemela, L. Skrbek, K. R. Sreenivasan, and R. J. Donnelley, "The wind in confined thermal convection," J. Fluid Mech. 449, 169 (2001).