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Volumn 569, Issue , 2006, Pages 409-445

Non-Oberbeck-Boussinesq effects in strongly turbulent Rayleigh-Bénard convection

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; KINEMATICS; NUSSELT NUMBER; REYNOLDS NUMBER; TEMPERATURE MEASUREMENT; THERMAL DIFFUSION IN LIQUIDS; THERMAL EFFECTS; THERMAL EXPANSION; VISCOSITY;

EID: 33746062691     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006002916     Document Type: Article
Times cited : (153)

References (54)
  • 1
    • 0019018788 scopus 로고
    • Effect of departures from the Oberbeck-Boussinesq approximation on the heat transport of horizontal convecting fluid layers
    • Ahlers, G. 1980 Effect of departures from the Oberbeck-Boussinesq approximation on the heat transport of horizontal convecting fluid layers. J. Fluid Mech. 98, 137-148.
    • (1980) J. Fluid Mech. , vol.98 , pp. 137-148
    • Ahlers, G.1
  • 2
    • 18644380532 scopus 로고    scopus 로고
    • Effect of sidewall conductance on heat-transport measurements for turbulent Rayleigh-Bénard convection
    • Ahlers, G. 2000 Effect of sidewall conductance on heat-transport measurements for turbulent Rayleigh-Bénard convection. Phys. Rev. E 63, 015303.
    • (2000) Phys. Rev. E , vol.63 , pp. 015303
    • Ahlers, G.1
  • 3
    • 4243807523 scopus 로고    scopus 로고
    • High Rayleigh number turbulent convection in a gas near the gas-liquid critical point
    • 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.
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 3641-3644
    • Ashkenazi, S.1    Steinberg, V.2
  • 4
    • 0003026378 scopus 로고
    • Grenzschichten in Flüssigkeiten mit kleiner Reibung
    • Blasius, H. 1908 Grenzschichten in Flüssigkeiten mit kleiner Reibung. Z. Math. Phys. 56, 1-37.
    • (1908) Z. Math. Phys. , vol.56 , pp. 1-37
    • Blasius, H.1
  • 6
    • 0034592313 scopus 로고    scopus 로고
    • Recent developments in Rayleigh-Bénard convection
    • Bodenschatz, E., Pesch, W. & Ahlers, G. 2000 Recent developments in Rayleigh-Bénard convection. Annu. Rev. Fluid Mech. 32, 709-778.
    • (2000) Annu. Rev. Fluid Mech. , vol.32 , pp. 709-778
    • Bodenschatz, E.1    Pesch, W.2    Ahlers, G.3
  • 8
    • 33750977340 scopus 로고    scopus 로고
    • Reynolds numbers of the large-scale flow in turbulent Rayleigh-Bénard convection
    • unpublished
    • Brown, E., Funfschilling, D. & Ahlers, G. 2006 Reynolds numbers of the large-scale flow in turbulent Rayleigh-Bénard convection. unpublished.
    • (2006)
    • Brown, E.1    Funfschilling, D.2    Ahlers, G.3
  • 9
    • 13844278651 scopus 로고    scopus 로고
    • Heat transport by turbulent Rayleigh-Bénard convection: Effect of finite top- and bottom conductivity
    • Brown, E., Funfschilling, D., Nikolaenko, A. & Ahlers, G. 2005 Heat transport by turbulent Rayleigh-Bénard convection: Effect of finite top- and bottom conductivity. Phys. Fluids 17, 075108.
    • (2005) Phys. Fluids , vol.17 , pp. 075108
    • Brown, E.1    Funfschilling, D.2    Nikolaenko, A.3    Ahlers, G.4
  • 10
    • 84951362799 scopus 로고
    • The stability of finite amplitude cellular convection and its relation to an extremum principle
    • Busse, F. H. 1967 The stability of finite amplitude cellular convection and its relation to an extremum principle. J. Fluid Mech. 30, 625-649.
    • (1967) J. Fluid Mech. , vol.30 , pp. 625-649
    • Busse, F.H.1
  • 12
    • 84881135651 scopus 로고    scopus 로고
    • Rayleigh-Bénard cells: Influence of plate properties
    • In (ed. I. P. Castro & P. E. Hancock). Barcelona: International Centre for Numerical Methods in Engineering, CIMNE
    • Chaumat, S., Castaing, B. & Chilla, F. 2002 Rayleigh-Bénard cells: influence of plate properties. In Advances in Turbulence IX (ed. I. P. Castro & P. E. Hancock). Barcelona: International Centre for Numerical Methods in Engineering, CIMNE.
    • (2002) Advances in Turbulence IX
    • Chaumat, S.1    Castaing, B.2    Chilla, F.3
  • 14
    • 0035337311 scopus 로고    scopus 로고
    • Turbulent Rayleigh-Bénard convection in gaseous and liquid He
    • Chavanne, X., Chilla, F., Chabaud, B., Castaing, B. & Hebral, B. 2001 Turbulent Rayleigh-Bénard convection in gaseous and liquid He. Phys. Fluids 13, 1300-1320.
    • (2001) Phys. Fluids , vol.13 , pp. 1300-1320
    • Chavanne, X.1    Chilla, F.2    Chabaud, B.3    Castaing, B.4    Hebral, B.5
  • 15
    • 4544261811 scopus 로고    scopus 로고
    • Long relaxation times and tilt sensitivity in Rayleigh-Bénard turbulence
    • Chilla, F., Rastello, M., Chaumat, S. & Castaing, B. 2004 Long relaxation times and tilt sensitivity in Rayleigh-Bénard turbulence. Euro. Phys. J. B 40, 223-227.
    • (2004) Euro. Phys. J. B , vol.40 , pp. 223-227
    • Chilla, F.1    Rastello, M.2    Chaumat, S.3    Castaing, B.4
  • 16
    • 5944258111 scopus 로고
    • Competition between different symmetries in convective patterns
    • Ciliberto, S., Pampaloni, E. & Perez-Garcia, C. 1988 Competition between different symmetries in convective patterns. Phys. Rev. Lett. 61, 1198-1201.
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 1198-1201
    • Ciliberto, S.1    Pampaloni, E.2    Perez-Garcia, C.3
  • 17
    • 23844436950 scopus 로고    scopus 로고
    • Heat transport by turbulent Rayleigh-Bénard convection in cylindrical cells with aspect ratio one and larger
    • Funfschilling, D., Brown, E., Nikolaenko, A. & Ahlers, G. 2005 Heat transport by turbulent Rayleigh-Bénard convection in cylindrical cells with aspect ratio one and larger. J. Fluid Mech. 536, 145-154.
    • (2005) J. Fluid Mech. , vol.536 , pp. 145-154
    • Funfschilling, D.1    Brown, E.2    Nikolaenko, A.3    Ahlers, G.4
  • 18
    • 33646974774 scopus 로고    scopus 로고
    • Convective heat transport in compressible fluids
    • Furukawa, A. & Onuki, A. 2002 Convective heat transport in compressible fluids. Phys. Rev. E 66, 016302.
    • (2002) Phys. Rev. E , vol.66 , pp. 016302
    • Furukawa, A.1    Onuki, A.2
  • 19
    • 0002391821 scopus 로고
    • Hydrodynamics of fluids near a critical point
    • Gitterman, M. 1978 Hydrodynamics of fluids near a critical point. Rev. Mod. Phys. 50, 85-107.
    • (1978) Rev. Mod. Phys. , vol.50 , pp. 85-107
    • Gitterman, M.1
  • 20
    • 85035283032 scopus 로고
    • Criteria of occurrence of free convection in a compressible viscous heat-conducting fluid
    • Gitterman, M. & Steinberg, V. 1971 Criteria of occurrence of free convection in a compressible viscous heat-conducting fluid. J. Appl. Math. Mech. (USSR) 34, 305-311.
    • (1971) J. Appl. Math. Mech. (USSR) , vol.34 , pp. 305-311
    • Gitterman, M.1    Steinberg, V.2
  • 21
    • 0033925498 scopus 로고    scopus 로고
    • Scaling in thermal convection: A unifying view
    • Grossmann, S. & Lohse, D. 2000 Scaling in thermal convection: A unifying view. J. Fluid Mech. 407, 27-56.
    • (2000) J. Fluid Mech. , vol.407 , pp. 27-56
    • Grossmann, S.1    Lohse, D.2
  • 22
    • 17644446010 scopus 로고    scopus 로고
    • Thermal convection for large Prandtl number
    • Grossmann, S. & Lohse, D. 2001 Thermal convection for large Prandtl number. Phys. Rev. Lett. 86, 3316-3319.
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 3316-3319
    • Grossmann, S.1    Lohse, D.2
  • 23
    • 37649026515 scopus 로고    scopus 로고
    • Prandtl and Rayleigh number dependence of the Reynolds number in turbulent thermal convection
    • Grossmann, S. & Lohse, D. 2002 Prandtl and Rayleigh number dependence of the Reynolds number in turbulent thermal convection. Phys. Rev. E 66, 016305.
    • (2002) Phys. Rev. E , vol.66 , pp. 016305
    • Grossmann, S.1    Lohse, D.2
  • 24
    • 13844259779 scopus 로고    scopus 로고
    • Fluctuations in turbulent Rayleigh-Bénard convection: The role of plumes
    • Grossmann, S. & Lohse, D. 2004 Fluctuations in turbulent Rayleigh-Bénard convection: The role of plumes. Phys. Fluids 16, 4462-4472.
    • (2004) Phys. Fluids , vol.16 , pp. 4462-4472
    • Grossmann, S.1    Lohse, D.2
  • 25
    • 0042143694 scopus 로고
    • Experiments on the cellular structure in Bénard convection
    • Hoard, C., Robertson, C. & Acrivos, A. 1970 Experiments on the cellular structure in Bénard convection. Intl. J. Heat Mass Transfer 13, 849-856.
    • (1970) Intl. J. Heat Mass Transfer , vol.13 , pp. 849-856
    • Hoard, C.1    Robertson, C.2    Acrivos, A.3
  • 26
    • 85035247349 scopus 로고    scopus 로고
    • 3He near the critical point
    • 056310
    • 3He near the critical point. Phys. Rev. E 63, 056310:1-15.
    • (2001) Phys. Rev. E , vol.63 , pp. 1-15
    • Kogan, A.1    Meyer, H.2
  • 27
    • 36849117606 scopus 로고
    • Turbulent thermal convection at arbritrary Prandtl number
    • Kraichnan, R. H. 1962 Turbulent thermal convection at arbritrary Prandtl number. Phys. Fluids 5, 1374-1389.
    • (1962) Phys. Fluids , vol.5 , pp. 1374-1389
    • Kraichnan, R.H.1
  • 30
  • 32
  • 33
    • 13844292728 scopus 로고    scopus 로고
    • Heat transport by turbulent Rayleigh-Bénard convection in cylindrical cells with aspect ratio one and less
    • 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.
    • (2005) J. Fluid Mech. , vol.523 , pp. 251-260
    • Nikolaenko, A.1    Brown, E.2    Funfschilling, D.3    Ahlers, G.4
  • 34
    • 84944486104 scopus 로고
    • Über die Wärmeleitung der Flüssigkeiten bei Berücksichtigung der Strömungen infolge von Temperaturdifferenzen
    • Oberbeck, A. 1879 Über die Wärmeleitung der Flüssigkeiten bei Berücksichtigung der Strömungen infolge von Temperaturdifferenzen. Ann. Phys. Chem. 7, 271-292.
    • (1879) Ann. Phys. Chem. , vol.7 , pp. 271-292
    • Oberbeck, A.1
  • 35
    • 42749101202 scopus 로고    scopus 로고
    • Dynamics of fluctuations in a fluid below the onset of Rayleigh-Bénard convection
    • Oh, J., Ortiz de Zárate, J. M., Sengers, J. V. & Ahlers, G. 2004 Dynamics of fluctuations in a fluid below the onset of Rayleigh-Bénard convection. Phys. Rev. E 69, 021106.
    • (2004) Phys. Rev. E , vol.69 , pp. 021106
    • Oh, J.1    Ortiz de Zárate, J.M.2    Sengers, J.V.3    Ahlers, G.4
  • 36
    • 0001491232 scopus 로고
    • Transition from hexagons to rolls in convection in fluids under non-Boussinesq conditions
    • Pampaloni, E., Perez-Garcia, C., Albavetti, L. & Ciliberto, S. 1992 Transition from hexagons to rolls in convection in fluids under non-Boussinesq conditions. J. Fluid Mech. 234, 393-416.
    • (1992) J. Fluid Mech. , vol.234 , pp. 393-416
    • Pampaloni, E.1    Perez-Garcia, C.2    Albavetti, L.3    Ciliberto, S.4
  • 37
    • 33751032736 scopus 로고
    • Laminar free convection with variable fluid properties
    • PhD thesis, Caltech, available at
    • Plapp, J. E. 1957 Laminar free convection with variable fluid properties. PhD thesis, Caltech, available at http://resolver.caltech.edu/CaltechETD:eTd-09142004-153230.
    • (1957)
    • Plapp, J.E.1
  • 38
    • 84980140467 scopus 로고
    • Der Wämeaustausch zwischen Festkörpern und Flüssigkeiten mit kleiner Reibung und kleiner Wärmeleitung
    • Pohlhausen, E. 1921 Der Wämeaustausch zwischen Festkörpern und Flüssigkeiten mit kleiner Reibung und kleiner Wärmeleitung. Z. Angew. Math. Mech. 1, 115-121.
    • (1921) Z. Angew. Math. Mech. , vol.1 , pp. 115-121
    • Pohlhausen, E.1
  • 41
    • 0035443692 scopus 로고    scopus 로고
    • Large scale velocity structures in turbulent thermal convection
    • Qiu, X. L. & Tong, P. 2001a Large scale velocity structures in turbulent thermal convection. Phys. Rev. E 64, 036304.
    • (2001) Phys. Rev. E , vol.64 , pp. 036304
    • Qiu, X.L.1    Tong, P.2
  • 42
    • 4244113036 scopus 로고    scopus 로고
    • Onset of coherent oscillations in turbulent Rayleigh-Bénard convection
    • Qiu, X. L. & Tong, P. 2001b Onset of coherent oscillations in turbulent Rayleigh-Bénard convection. Phys. Rev. Lett. 87, 094501.
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 094501
    • Qiu, X.L.1    Tong, P.2
  • 43
    • 0035305108 scopus 로고    scopus 로고
    • Observation of the 1/2 power law in Rayleigh-Bénard convection
    • Roche, P. E., Castaing, B., Chabaud, B. & Hebral, B. 2001 Observation of the 1/2 power law in Rayleigh-Bénard convection. Phys. Rev. E 63, 045303.
    • (2001) Phys. Rev. E , vol.63 , pp. 045303
    • Roche, P.E.1    Castaing, B.2    Chabaud, B.3    Hebral, B.4
  • 44
    • 0036591813 scopus 로고    scopus 로고
    • Prandtl and Rayleigh numbers dependences in Rayleigh-Bénard convection
    • Roche, P. E., Castaing, B., Chabaud, B. & Hebral, B. 2002 Prandtl and Rayleigh numbers dependences in Rayleigh-Bénard convection. Europhys. Lett. 58, 693-698.
    • (2002) Europhys. Lett. , vol.58 , pp. 693-698
    • Roche, P.E.1    Castaing, B.2    Chabaud, B.3    Hebral, B.4
  • 46
    • 0000011029 scopus 로고
    • Heat transport in high-Rayleigh number convection
    • Shraiman, B. I. & Siggia, E. D. 1990 Heat transport in high-Rayleigh number convection. Phys. Rev. A 42, 3650-3653.
    • (1990) Phys. Rev. A , vol.42 , pp. 3650-3653
    • Shraiman, B.I.1    Siggia, E.D.2
  • 47
    • 27844466863 scopus 로고    scopus 로고
    • Heat transport by turbulent Rayleigh-Bénard convection in 1m diameter cylindrical cells of widely varying aspect ratio
    • Sun, C., Ren, L.Y., Song, H., and Xia, K.Q. 2005 Heat transport by turbulent Rayleigh-Bénard convection in 1m diameter cylindrical cells of widely varying aspect ratio. J. Fluid Mech. 542, 165-174.
    • (2005) J. Fluid Mech. , vol.542 , pp. 165-174
    • Sun, C.1    Ren, L.Y.2    Song, H.3    Xia, K.Q.4
  • 48
    • 0037176317 scopus 로고    scopus 로고
    • Sidewall finite conductivity effects in confined turbulent thermal convection
    • Verzicco, R. 2002 Sidewall finite conductivity effects in confined turbulent thermal convection. J. Fluid Mech. 473, 201-210.
    • (2002) J. Fluid Mech. , vol.473 , pp. 201-210
    • Verzicco, R.1
  • 49
    • 2942682932 scopus 로고    scopus 로고
    • Effect of non-perfect thermal sources in turbulent thermal convection
    • Verzicco, R. 2004 Effect of non-perfect thermal sources in turbulent thermal convection. Phys. Fluids 16, 1965-1979.
    • (2004) Phys. Fluids , vol.16 , pp. 1965-1979
    • Verzicco, R.1
  • 50
    • 0007437854 scopus 로고
    • Non-Boussinesq and penetrative convection in a cylindrical cell
    • Walden, R. W. & Ahlers, G. 1981 Non-Boussinesq and penetrative convection in a cylindrical cell. J. Fluid Mech. 109, 89-114.
    • (1981) J. Fluid Mech. , vol.109 , pp. 89-114
    • Walden, R.W.1    Ahlers, G.2
  • 51
    • 0030683555 scopus 로고    scopus 로고
    • The linear stability of flat-plate boundary-layer flow of fluid with temperature-dependent viscosity
    • Wall, D. P. & Wilson, S. K. 1997 The linear stability of flat-plate boundary-layer flow of fluid with temperature-dependent viscosity. Phys. Fluids 9, 2885-2898.
    • (1997) Phys. Fluids , vol.9 , pp. 2885-2898
    • Wall, D.P.1    Wilson, S.K.2
  • 52
    • 35949008359 scopus 로고
    • Non-Boussinesq effects in free thermal convection
    • Wu, X. Z. & Libchaber, A. 1991 Non-Boussinesq effects in free thermal convection. Phys. Rev. A 43, 2833-2839.
    • (1991) Phys. Rev. A , vol.43 , pp. 2833-2839
    • Wu, X.Z.1    Libchaber, A.2
  • 53
    • 0001614825 scopus 로고    scopus 로고
    • Heat transport in turbulent Rayleigh-Bénard convection
    • Xu, X., Bajaj, K. M. S. & Ahlers, G. 2000 Heat transport in turbulent Rayleigh-Bénard convection. Phys. Rev. Lett. 84, 4357-4360.
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 4357-4360
    • Xu, X.1    Bajaj, K.M.S.2    Ahlers, G.3
  • 54
    • 0001247944 scopus 로고    scopus 로고
    • Non-Boussinesq effect: Thermal convection with broken symmetry
    • Zhang, J., Childress, S. & Libchaber, A. 1997 Non-Boussinesq effect: Thermal convection with broken symmetry. Phys. Fluids 9, 1034-1042.
    • (1997) Phys. Fluids , vol.9 , pp. 1034-1042
    • Zhang, J.1    Childress, S.2    Libchaber, A.3


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