Experimental studies of the viscous boundary layer properties in turbulent Rayleigh-Bénard convection

Journal of Fluid Mechanics

Volumn 605, Issue , 2008, Pages 79-113

  Sun, Chao ^a   Cheung, Yin Har ^a   Xia, Ke Qing ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; EXTRAPOLATION; LAMINAR FLOW; MATHEMATICAL MODELS; PRANDTL NUMBER; REYNOLDS NUMBER; SHEAR STRESS; SKIN FRICTION; TEMPERATURE MEASUREMENT; TURBULENT FLOW; VELOCITY MEASUREMENT; VISCOUS FLOW;

PARTICLE IMAGE VELOCIMETRY; POWER-LAW FITTING; RAYLEIGH NUMBER;

HEAT CONVECTION;

BOUNDARY LAYER FLOW; EXTRAPOLATION; HEAT CONVECTION; LAMINAR FLOW; MATHEMATICAL MODELS; PRANDTL NUMBER; REYNOLDS NUMBER; SHEAR STRESS; SKIN FRICTION; TEMPERATURE MEASUREMENT; TURBULENT FLOW; VELOCITY MEASUREMENT; VISCOUS FLOW;

CONVECTIVE BOUNDARY LAYER; LAMINAR FLOW; RAYLEIGH NUMBER; REYNOLDS NUMBER; SHEAR FLOW; SHEAR STRESS; TEMPERATURE; TURBULENT FLOW; VELOCITY; VISCOUS FLOW;

EID: 44449143581     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112008001365     Document Type: Article

References (80)

1. ADRIAN, R. J. 1991 Particle-imaging techniques for experimental fluid mechanics. Annu. Rev. Fluid Mech. 23, 261-304.
2. ADRIAN, R. J. 1996 Variation of temperature and velocity fluctuations in turbulent thermal convection over horizontal surfaces. Intl. J. Heat Mass Transfer 39, 2303-2310.
3. AHLERS, G. & XU, X. 2001 Prandtl-number dependence of heat transport in turbulent Rayleigh-Bénard convection. Phys. Rev Lett. 86, 3320-3323.
4. AMATI G., KOAL, K., MASSAIOLI, F., SREENIVASAN, K. R. & VERZICCO, R. 2005 Turbulent thermal convection at high Rayleigh numbers for a Boussinesq fluid of constant Prandtl number. Phys. Fluids 17 121701.
5. ASHKENAZI, S. & STEINBERG, V. 1999 High Rayleigh number turbulent convection in a gas near the gas-liquid critical point. Phys. Rev. Lett. 83, 3641-3644.
6. BELMONTE, A., TILGNER, A. & LIBCHABER, A. 1993 Boundary layer length scales in thermal turbulence. Phys. Rev. Lett. 70, 4067-4070.
7. BELMONTE, A., TILGNER, A. & LIBCHABER, A. 1994 Temperature and velocity boundary layers in turbulent convection. Phys. Rev. E 50, 269-279.
8. BREUER, M., WESSLING, S., SCHMALZI., J. & HANSEN, U. 2004 Effect of inertia in Rayleigh-Bénard convection. Phys. Rev. E 69 026302.
9. BROWN, E., FUNFSCHILLING, D. & AHLERS, G. 2007 Anomalous Reynolds-number scaling in turbulent Rayleigh-Bánard convection. J. Statist. Meck. P10005
10. BROWN, E., NIKOLAENKO, A. & AHLERS, G. 2005 Reorientation of the large-scale circulation in turbulent Rayleigh-Bénard convection. Phys. Rev. Lett. 95, 084503.
11. BURR, U. KINZELBACH, W. & TSINOBER, A. 2003 Is the turbulent wind in convective flows driven by fluctuations? Phys. Fluids 15, 2313-2320.
12. CASTAING, B., GUNARATNE, G., HESLOT, F., KADANOFF, L., LIBCHABER, A., THOMAE, S., WU, X.-Z., ZALESKI, S. & ZANETTI, G. 1989 Scaling of hard thermal turbulence in Rayleigh-Bénard turbulent convection. J. Fluid Mech. 204, 1-30.
13. CHAVANNE, X., CHILLÀ F. CASTAING, B., HÉBRAL, B., CHABAUD, B. & CHAUSSY, J. 1997 Observation of the ultimate regime in Rayleigh-Bénard convection. Phys. Rev. Lett. 79, 36480-3651.
14. CHAVANNE, X., CHILLÀ, F., CHABAUD, B., CASTAING, B. & HÉBRAL, B. 2001 Turbulent Rayleigh-Bénard convection in gaseous and liquid He. Phys. Fluids 13, 1300-1320.
15. CHING, E. S. C. 1997 Heat flux and shear rate in turbulent convection. Phys. Rev. E 55, 1189-1192.
16. CHING, E. S. C. & TAM, W. S. 2006 Aspect-ratio dependence of heat transport by turbulent Rayleigh-Bénard convection. J. Turbulence 7(72), 1-10.
17. CIONI, S., CILIBERTO, S. & SOMMERIA, J. 1997 Strongly turbulent Rayleigh-Bénard convection in mercury: Comparison with results at moderate Prandtl number. J. Fluid Mech. 335, 111-140.
18. Du, Y.-B. & TONG, P. 1998 Enhanced heat transport in turbulent convection over a rough surface Phys. Rev. Lett. 81, 987-990.
19. DUBRULLE, B. 2001 Logarithmic corrections to scaling in turbulent thermal convection. Eur. Phys. J. B 21, 295-304.
20. EGGELS, J. G. M., UNGER, F, WEISS, M. H., WESTERWEEL, J., ADRIAN, R. J., FRIENDRICH, R. & NIEUWSTADT, F. T. M. 1994 Fully developed turbulent pipe flow: A comparison between direct numerical simulation and experiment. J. Fluid Mech. 268, 175-209.
21. EIDELMAN, A., ELPERIN, T., KLEEOREN, N., MARKOVICH, A. & ROGACHEVSKIL, I. 2006 Hysteresis phenomenon in turbulent convection. Exps. Fluids 40, 723-732.
22. FERNANDES R. L. J. & ADRIAN R. J. 2002 Scaling of velocity and temperature fluctuations in turbulent thermal convection. Expl Thermal Fluid Sci. 26, 355-360.
23. FUNFSCHILLING, D., BROWN, E., NIKOLAENKO, A. & AHLERS, G. 2005 Heat transport by turbulent Rayleigh-Bénard convection in cylindrical samples with aspect ratio one and larger. J. Fluid Mech. 536 145-154.
24. GLAZIER., J. A., SFGAWA., T., NAERT., A. & SANO, M. 1999 Evidence against 'ultrahard' thermal turbulence at very high Rayleigh numbers. Nature 398, 307-310.
25. GROSSMANN, S. & LOHSE, D. 2000 Scaling in thermal convection: A unifying theory. J. Fluid Mech. 407, 27-56.
26. GROSSMANN, S. & LOHSE, D. 2001 Thermal convection for large Prandtl numbers. Phys. Rev. Lett. 86, 3316-3319.
27. GROSSMANN, S. & LOHSE, D. 2003 On geometry effects in Rayleigh-Bénard convection. J. Fluid Mech. 486, 105-114.
28. GROSSMANN, S. & LOHSE, D. 2004 Fluctuations in turbulent Rayleigh-Bénard convection: The role of plumes. Phys. Fluids 16, 4462-4472.
29. HARAMINA, T. & TILGNER A. 2004 Coherent structures in boundary layers of Rayleigh-Bénard convection. Phys. Rev. E 69, 056306.
30. KADANOFF, L. P. 2001 Turbulent heat flow: Structures and scaling. Phys. Today 54, 34-39.
31. KENJERŠ, S. & HANJALIĆ, K. 2002 Numerical insight into flow structure in ultraturbulent thermal convection. Phys. Rev. E 66 036307.
32. KERR, R. M. 1996 Rayleigh number scaling in numerical convection. J. Fluid Mech. 310, 139-179.
33. KERR, R. M. & HERRING, J. R. 2000 Prandtl number dependence of Nusselt number in direct numerical simulations. J. Fluid Mech. 419, 325-344.
34. KRAICHNAN, R. H. 1962 Turbulent thermal convection at arbitrary Prandtl number. Phys. Fluids 5, 1374-1389.
35. KRISHNAMURTI, R. & HOWARD, L. N. 1981 Large-scale flow generation in turbulent convection. Proc. Natl. Acad. Sci. USA 78, 1981-1985.
36. LAM, S., SHANG, X.-D., ZHOU, S.-Q. & XIA, K.-Q. 2002 Prandtl number dependence of the viscous boundary layer and the Reynolds numbers in Rayleigh-Bénard convection. Phys. Rev. E 65, 066306.
37. LANDAU., L. D. & LIFSHITZ., E. M. 1987 Fluid Mechanics. Pergamon.
38. LUI, S.-L. & XIA, K.-Q. 1998 Spatial structure of the thermal boundary layer in turbulent convection. Phys. Rev. E 57, 5494-5503.
39. NAERT, A., SEGAWA, T. & SANO, M. 1997 High-Reynolds-number thermal turbulence in mercury. Phys. Rev. E 56, R1302-1305.
40. NIEMELA, J. J., SKRBEK, L., SREENIVASAN, K. R. & DONNELY, R. J. 2000 Turbulent convection at very high Rayleigh numbers. Nature 404, 837-840.
41. NIEMELA, J. J. & SREENIVASAN, K. R. 2003 Confined turbulent convection. J. Fluid Mech. 481, 355-384
42. NIEMELA, J. J. & SREENIVASAN, K. R. 2006 Turbulent convection at high Rayleigh numbers and aspect ratio 4. J. Fluid Mech. 557 411-422.
43. NIKOLAENKO, A., BROWN, E., FUNFSCHILLING, D. & AHLERS, G. 2005 Heat transport by turbulent Rayleigh-Bénard convection in cylindrical cells with aspect ratio one and less. J. Fluid Mech. 523, 251-260.
44. PRIESTLEY, C. H. B. 1959 Turbulent Transfer in the Lower Atmosphere. University of Chicago Press.
45. PUITS, R. DU, RESAGK, C., TILGNTER, A., BUSSE, F. H. & THESS, A. 2007 Structure of thermal boundary layers in turbulent Rayleigh-Bénard convection. J Fluid Mech. 572, 231-254.
46. QIU, X.-L. & TONG, P. 2001 Large-scale velocity structures in turbulent thermal convection. Phys. Rev. E 64, 036304.
47. QIU, X.-L. & XIA, K.-Q. 1998a Viscous boundary layers at the sidewall of a convection cell. Phys. Rev. E 58, 486-491.
48. QIU, X-L. & XIA, K.-Q. 1998b Spatial structure of the viscous boundary layer in turbulent convection. Phys. Rev. E 58 5816-5820.
49. SCHLICHTING, H. & GERSTEN, K. 2000 Bounday Layer Theory. Springer.
50. SHANG, X.-D. 2002 Statistics, scaling and structures in fluid turbulence: Case studies for thermal convection and pipe flow. PhD thesis. The Chinese University of Hong Kong.
51. SHANG, X.-D., QIU, X.-L., TONG, P. & XIA, K.-Q. 2003 Mensured local heat transport in turbulent Rayleigh-Bénard convection. Phys. Rev. Lett. 90, 074501.
52. SHRAIMAN, R I. & SIGGIA, E. D. 1990 Heat transport in high-Rayleigh-number convection. Phys. Rev. A 42, 3650-3653.
53. SIGGIA, E.D. 1994 High Rayleigh number convection. Annu. Rev. Fluid Mech. 26, 137-168.
54. SUN, C., REN, L.-Y., SONG, H. & XIA, K.-Q. 2005a Heat transport by turbulent Rayleigh Bénard convection in 1 m diameter cylindrical cells of widely varying aspect ratio J. Fluid Mech. 542, 165-174.
55. SUN, C., XI, H.-D. & XIA, K.-Q. 2005b Azimuthal symmetry, flow dynamics, and heat flux in turbulent thermal convection in a cylinder with aspect ratio one-half. Phys. Rev. Lett. 95, 074502.
56. SUN, C. & XIA, K.-Q. 2005 Scaling of the Reynolds number in turbulent thermal convection. Phys. Rev. E 72 067302
57. SUN, C., XIA, K.-Q. & TONG, P. 2005c Three-dimensional flow structures and dynamics of turbulent thermal convection in a cylindrical cell. Phys. Rev. E 72, 026302.
58. Sun, C., ZHOU, Q. & XIA, K.-Q. 2006 Cascades of velocity and temperature fluctuations in buoyancy-driven thermal turbulence. Phys. Rev. Lett. 97, 144504.
59. TAKESHITA, T., SEGAWA, T., GLAZIER, J. A. & SANO, M. 1996 Thermal turbulence in mercury. Phys. Rev. Lett. 76, 1465-1468.
60. THOMAS, D. B. & TOWNSEND, A. A. 1957 Turbulent convection over a heated horizontal surface. J. Fluid Mech. 2, 473-492.
61. TILGNER, A., BELMONTE, A. & LIBCHABER A. 1993 Temperature and velocity profile of turbulent convection in water. Phys Rev. E 47, R2253-R2256.
62. TOWNSEND, A. A. 1959 Temperature fluctuations over an heated surface. J. Fluid Mech. 5, 209-241.
63. VERZICCO, R. & CAMUSSI, R. 2003 Numerical experiments on strongly turbulent thermal convection in a slender cylindrical cell. J. Fluid Mech. 477, 19-49.
64. WANG, J. & XUA, K.-Q. 2003 Spatial variations of the mean and statistical quantities in the thermal boundary layers of turbulent convection. Eur. Phys. J. B 32, 127-136.
65. XI, H.-D., ZHOU, Q. & XIA, K.-Q 2006 Azimuthal motion of the mean wind in turbulent thermal convection. Phys. Rev. E 73, 056312.
66. XIA, K.-Q. 2007 Two clocks for a single engine in turbulent convection. J. Statist. Mech. N11001.
67. XIA, K.-Q., LAM, S. & ZHOU, S.-Q. 2002 Heat-flux measurement in high-Prandtl-number turbulent Rayleigh-Bénard convection. Phys. Rev. Lett. 88, 064501.
68. XIA, K.-Q. & QIU, X.-L. 1999 Turbulent convection with "disconnected" top and bottom boundary layers. Europhy. Lett. 46, 171-176.
69. XIA, K.-Q., SUN, C. & ZHOU, S.-Q. 2003 Particle image velocimetry measurement of the velocity field in turbulent thermal convection. Phys. Rev. E 68, 066303.
70. XIA, K.-Q., XIN, Y.-B. & TONG, P. 1995 Dual-beam incoherent cross-correlation spectroscopy. J. Opt. Soc. Am. A 12, 1571-1578.
71. XIA, K.-Q. & ZHOU, S.-Q. 2000 Temperature power spectra and the viscous boundary layer in thermal turbulence: The role of Prandtl number. Physica A 288, 308-314 (2000).
72. XIN, Y.-B. & XIA, K.-Q. 1997 Boundary layer length scales in convective turbulence. Phys. Rev. E 56, 3010-3015.
73. XIN, Y.-B., XIA, K.-Q. & TONG, P. 1996 Measured velocity boundary layer in turbulent convection. Phys. Rev. Lett. 77, 1266-1269.
74. YAWS C. L. 1999 Chemical Properties Handbook. McGraw-Hill.
75. ZHOU, Q., SUN, C. & XIA, K.-Q. 2007a Morphological evolution of thermal plumes in turbulent Rayleigh-Bénard convection. Phys. Rev. Lett. 98, 074501.
76. ZHOU, S.-Q., SUN, C. & XIA, K.-Q. 2007b Measured oscillations of the velocity and temperature fields in turbulent Rayleigh-Bénard convection in a rectangular cell. Phys. Rev. E 76, 036301.
77. ZHOU, Q., SUN, C. & XIA, K.-Q. 2008 Experimental investigation of homogeneity, isotropy, and circulation of the velocity field in buoyancy-driven turbulence. J. Fluid Mech. 598, 361-372.
78. ZHOU, S.-Q. & XIA, K.-Q. 2001 Spatially correlated temperature fluctuations in turbulent convection. Phys. Rev. E 63, 046308.
79. ZHOU, S.-Q. & XIA, K.-Q. 2002 Plume statistics in thermal turbulence: Mixing of an active scalar. Phys. Rev. Lett. 89, 184502.
80. ZOCCHI, G., MOSES, E. & LIBCHABER, A. 1990 Coherent structures in turbulent convection, an experimental study. Physica A 166, 387-407.