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Volumn 81, Issue 2, 2009, Pages 503-537

Heat transfer and large scale dynamics in turbulent Rayleigh-Bénard convection

Author keywords

[No Author keywords available]

Indexed keywords

BOUSSINESQ; LARGE-SCALE DYNAMICS; RAYLEIGH; RAYLEIGH NUMBERS;

EID: 65549158072     PISSN: 00346861     EISSN: 15390756     Source Type: Journal    
DOI: 10.1103/RevModPhys.81.503     Document Type: Article
Times cited : (1539)

References (247)
  • 1
    • 65549089691 scopus 로고    scopus 로고
    • Acrivos, A., 2008, private communication.
    • (2008)
    • Acrivos, A.1
  • 2
    • 0001338870 scopus 로고
    • Low temperature studies of the Rayleigh-Bénard instability and turbulence
    • 10.1103/PhysRevLett.33.1185
    • Ahlers, G., 1974, " Low temperature studies of the Rayleigh-Bénard instability and turbulence, " Phys. Rev. Lett. 33, 1185-1188. 10.1103/PhysRevLett.33.1185
    • (1974) Phys. Rev. Lett. , vol.33 , pp. 1185-1188
    • Ahlers, G.1
  • 4
    • 18644380532 scopus 로고    scopus 로고
    • Effect of sidewall conductance on heat-transport measurements for turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevE.63.015303
    • Ahlers, G., 2000, " Effect of sidewall conductance on heat-transport measurements for turbulent Rayleigh-Bénard convection, " Phys. Rev. E 63, 015303 (R). 10.1103/PhysRevE.63.015303
    • (2000) Phys. Rev. e , vol.63 , pp. 015303
    • Ahlers, G.1
  • 5
    • 33746062691 scopus 로고    scopus 로고
    • Non-Oberbeck-Boussinesq effects in strongly turbulent Rayleigh-Bénard convection
    • 10.1017/S0022112006002916
    • Ahlers, G., E. Brown, F. Fontenele Araujo, D. Funfschilling, S. Grossmann, and D. Lohse, 2006, " Non-Oberbeck-Boussinesq effects in strongly turbulent Rayleigh-Bénard convection, " J. Fluid Mech. 569, 409-445. 10.1017/S0022112006002916
    • (2006) J. Fluid Mech. , vol.569 , pp. 409-445
    • Ahlers, G.1    Brown, E.2    Fontenele Araujo, F.3    Funfschilling, D.4    Grossmann, S.5    Lohse, D.6
  • 6
    • 33746078130 scopus 로고    scopus 로고
    • The search for slow transients, and the effect of imperfect vertical alignment, in turbulent Rayleigh-Bénard convection
    • 10.1017/S0022112006009888
    • Ahlers, G., E. Brown, and A. Nikolaenko, 2006, " The search for slow transients, and the effect of imperfect vertical alignment, in turbulent Rayleigh-Bénard convection, " J. Fluid Mech. 557, 347-367. 10.1017/S0022112006009888
    • (2006) J. Fluid Mech. , vol.557 , pp. 347-367
    • Ahlers, G.1    Brown, E.2    Nikolaenko, A.3
  • 7
    • 42149164398 scopus 로고    scopus 로고
    • Non-Oberbeck-Boussinesq effects in turbulent thermal convection in ethane close to the critical point
    • 10.1103/PhysRevE.77.046302
    • Ahlers, G., E. Calzavarini, F. Fontenele Araujo, D. Funfschilling, S. Grossmann, D. Lohse, and K. Sugiyama, 2008, " Non-Oberbeck-Boussinesq effects in turbulent thermal convection in ethane close to the critical point, " Phys. Rev. E 77, 046302. 10.1103/PhysRevE.77.046302
    • (2008) Phys. Rev. e , vol.77 , pp. 046302
    • Ahlers, G.1    Calzavarini, E.2    Fontenele Araujo, F.3    Funfschilling, D.4    Grossmann, S.5    Lohse, D.6    Sugiyama, K.7
  • 8
    • 33846592850 scopus 로고    scopus 로고
    • Non-Oberbeck-Boussinesq effects in strongly turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevLett.98.054501
    • Ahlers, G., F. Fontenele Araujo, D. Funfschilling, S. Grossmann, and D. Lohse, 2007, " Non-Oberbeck-Boussinesq effects in strongly turbulent Rayleigh-Bénard convection, " Phys. Rev. Lett. 98, 054501. 10.1103/PhysRevLett.98.054501
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 054501
    • Ahlers, G.1    Fontenele Araujo, F.2    Funfschilling, D.3    Grossmann, S.4    Lohse, D.5
  • 9
    • 0035831932 scopus 로고    scopus 로고
    • Prandtl-number dependence of heat transport in turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevLett.86.3320
    • Ahlers, G., and X. Xu, 2001, " Prandtl-number dependence of heat transport in turbulent Rayleigh-Bénard convection, " Phys. Rev. Lett. 86, 3320-3323. 10.1103/PhysRevLett.86.3320
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 3320-3323
    • Ahlers, G.1    Xu, X.2
  • 10
    • 31144435555 scopus 로고    scopus 로고
    • Turbulent thermal convection at high Rayleigh numbers for a constant-Prandtl-number fluid under Boussinesq conditions
    • 10.1063/1.2140023
    • Amati, G., K. Koal, F. Massaioli, K. R. Sreenivasan, and R. Verzicco, 2005, " Turbulent thermal convection at high Rayleigh numbers for a constant-Prandtl-number fluid under Boussinesq conditions, " Phys. Fluids 17, 121701. 10.1063/1.2140023
    • (2005) Phys. Fluids , vol.17 , pp. 121701
    • Amati, G.1    Koal, K.2    Massaioli, F.3    Sreenivasan, K.R.4    Verzicco, R.5
  • 11
    • 4243807523 scopus 로고    scopus 로고
    • High Rayleigh number turbulent convection in a gas near the gas-liquid critical point
    • 10.1103/PhysRevLett.83.3641
    • Ashkenazi, S., and V. Steinberg, 1999, " High Rayleigh number turbulent convection in a gas near the gas-liquid critical point, " Phys. Rev. Lett. 83, 3641-3644. 10.1103/PhysRevLett.83.3641
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 3641-3644
    • Ashkenazi, S.1    Steinberg, V.2
  • 12
    • 0000824418 scopus 로고
    • Numerical simulation of high Rayleigh number convection
    • 10.1007/BF01061502
    • Balachandar, S., M. R. Maxey, and L. Sirovich, 1989, " Numerical simulation of high Rayleigh number convection, " J. Sci. Comput. 4, 219-236. 10.1007/BF01061502
    • (1989) J. Sci. Comput. , vol.4 , pp. 219-236
    • Balachandar, S.1    Maxey, M.R.2    Sirovich, L.3
  • 13
    • 0001652640 scopus 로고
    • Rayleigh-Bénard convection and turbulence in liquid-helium
    • 10.1103/RevModPhys.57.657
    • Behringer, R. P., 1985, " Rayleigh-Bénard convection and turbulence in liquid-helium, " Rev. Mod. Phys. 57, 657-687. 10.1103/RevModPhys.57.657
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 657-687
    • Behringer, R.P.1
  • 14
    • 0001334602 scopus 로고
    • Boundary layer length scales in thermal turbulence
    • 10.1103/PhysRevLett.70.4067
    • Belmonte, A., A. Tilgner, and A. Libchaber, 1993, " Boundary layer length scales in thermal turbulence, " Phys. Rev. Lett. 70, 4067-4070. 10.1103/PhysRevLett.70.4067
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 4067-4070
    • Belmonte, A.1    Tilgner, A.2    Libchaber, A.3
  • 15
    • 5544252913 scopus 로고
    • Temperature and velocity boundary layers in turbulent convection
    • 10.1103/PhysRevE.50.269
    • Belmonte, A., A. Tilgner, and A. Libchaber, 1994, " Temperature and velocity boundary layers in turbulent convection, " Phys. Rev. E 50, 269-279. 10.1103/PhysRevE.50.269
    • (1994) Phys. Rev. e , vol.50 , pp. 269-279
    • Belmonte, A.1    Tilgner, A.2    Libchaber, A.3
  • 16
    • 27144490990 scopus 로고    scopus 로고
    • Flow reversal in a simple dynamical model of turbulence
    • 10.1103/PhysRevLett.95.024502
    • Benzi, R., 2005, " Flow reversal in a simple dynamical model of turbulence, " Phys. Rev. Lett. 95, 024502. 10.1103/PhysRevLett.95.024502
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 024502
    • Benzi, R.1
  • 17
    • 0039399997 scopus 로고    scopus 로고
    • On the heat transfer in the Rayleigh-Bénard system
    • 10.1023/B:JOSS.0000033168.36971.59
    • Benzi, R., F. Toschi, and R. Tripiccione, 1998, " On the heat transfer in the Rayleigh-Bénard system, " J. Stat. Phys. 93, 901-918. 10.1023/B:JOSS.0000033168.36971.59
    • (1998) J. Stat. Phys. , vol.93 , pp. 901-918
    • Benzi, R.1    Toschi, F.2    Tripiccione, R.3
  • 18
    • 84957346466 scopus 로고
    • Scaling behavior of the velocity and temperature correlation-functions in 3D convective turbulence
    • 10.1209/0295-5075/25/5/005
    • Benzi, R., R. Tripiccione, F. Massaioli, S. Succi, and S. Ciliberto, 1994, " Scaling behavior of the velocity and temperature correlation-functions in 3D convective turbulence, " Europhys. Lett. 25, 341. 10.1209/0295-5075/25/5/005
    • (1994) Europhys. Lett. , vol.25 , pp. 341
    • Benzi, R.1    Tripiccione, R.2    Massaioli, F.3    Succi, S.4    Ciliberto, S.5
  • 19
    • 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
  • 20
    • 0034592313 scopus 로고    scopus 로고
    • Recent developments in Rayleigh-Bénard convection
    • 10.1146/annurev.fluid.32.1.709
    • Bodenschatz, E., W. Pesch, and G. Ahlers, 2000, " Recent developments in Rayleigh-Bénard convection, " Annu. Rev. Fluid Mech. 32, 709-778. 10.1146/annurev.fluid.32.1.709
    • (2000) Annu. Rev. Fluid Mech. , vol.32 , pp. 709-778
    • Bodenschatz, E.1    Pesch, W.2    Ahlers, G.3
  • 21
    • 0000056517 scopus 로고
    • Turbulent spectra in a stably stratified atmosphere
    • 10.1029/JZ064i012p02226
    • Bolgiano, R., 1959, " Turbulent spectra in a stably stratified atmosphere, " J. Geophys. Res. 64, 2226. 10.1029/JZ064i012p02226
    • (1959) J. Geophys. Res. , vol.64 , pp. 2226
    • Bolgiano, R.1
  • 23
    • 0023826230 scopus 로고
    • Enthalpy-porosity technique for modeling convection-diffusion phase change-Application to the melting of a pure metal
    • Brent, A. D., V. R. Voller, and K. J. Reid, 1988, " Enthalpy-porosity technique for modeling convection-diffusion phase change-Application to the melting of a pure metal, " Numer. Heat Transfer 13, 297-318.
    • (1988) Numer. Heat Transfer , vol.13 , pp. 297-318
    • Brent, A.D.1    Voller, V.R.2    Reid, K.J.3
  • 24
    • 42749098451 scopus 로고    scopus 로고
    • Effect of inertia in Rayleigh-Bénard convection
    • 10.1103/PhysRevE.69.026302
    • Breuer, M., S. Wessling, J. Schmalzl, and U. Hansen, 2004, " Effect of inertia in Rayleigh-Bénard convection, " Phys. Rev. E 69, 026302. 10.1103/PhysRevE.69.026302
    • (2004) Phys. Rev. e , vol.69 , pp. 026302
    • Breuer, M.1    Wessling, S.2    Schmalzl, J.3    Hansen, U.4
  • 25
    • 33846044637 scopus 로고    scopus 로고
    • Effect of the Earth's Coriolis force on turbulent Rayleigh-Bénard convection in the laboratory
    • 10.1063/1.2402875
    • Brown, E., and G. Ahlers, 2006a, " Effect of the Earth's Coriolis force on turbulent Rayleigh-Bénard convection in the laboratory, " Phys. Fluids 18, 125108. 10.1063/1.2402875
    • (2006) Phys. Fluids , vol.18 , pp. 125108
    • Brown, E.1    Ahlers, G.2
  • 26
    • 33750975053 scopus 로고    scopus 로고
    • Rotations and cessations of the large-scale circulation in turbulent Rayleigh-Bénard convection
    • Brown, E., and G. Ahlers, 2006b, " Rotations and cessations of the large-scale circulation in turbulent Rayleigh-Bénard convection, " J. Fluid Mech. 568, 351-386.
    • (2006) J. Fluid Mech. , vol.568 , pp. 351-386
    • Brown, E.1    Ahlers, G.2
  • 27
    • 33947642746 scopus 로고    scopus 로고
    • Large-scale circulation model for turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevLett.98.134501
    • Brown, E., and G. Ahlers, 2007a, " Large-scale circulation model for turbulent Rayleigh-Bénard convection, " Phys. Rev. Lett. 98, 134501. 10.1103/PhysRevLett.98.134501
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 134501
    • Brown, E.1    Ahlers, G.2
  • 28
    • 79051469493 scopus 로고    scopus 로고
    • Temperature gradients, and search for non-Boussinesq effects, in the interior of turbulent Rayleigh-Bénard convection
    • Brown, E., and G. Ahlers, 2007b, " Temperature gradients, and search for non-Boussinesq effects, in the interior of turbulent Rayleigh-Bénard convection, " Europhys. Lett. 80, 14001.
    • (2007) Europhys. Lett. , vol.80 , pp. 14001
    • Brown, E.1    Ahlers, G.2
  • 29
    • 55849097286 scopus 로고    scopus 로고
    • A dynamical model of the large-scale circulation in turbulent Rayleigh-Bénard convection: Azimuthal asymmetries
    • 10.1063/1.2991432
    • Brown, E., and G. Ahlers, 2008a, " A dynamical model of the large-scale circulation in turbulent Rayleigh-Bénard convection: azimuthal asymmetries, " Phys. Fluids 20, 105105. 10.1063/1.2991432
    • (2008) Phys. Fluids , vol.20 , pp. 105105
    • Brown, E.1    Ahlers, G.2
  • 30
    • 47049095005 scopus 로고    scopus 로고
    • A model of diffusion in a potential well for the dynamics of the large-scale circulation in turbulent Rayleigh-Bénard convection
    • 10.1063/1.2919806
    • Brown, E., and G. Ahlers, 2008b, " A model of diffusion in a potential well for the dynamics of the large-scale circulation in turbulent Rayleigh-Bénard convection, " Phys. Fluids 20, 075101. 10.1063/1.2919806
    • (2008) Phys. Fluids , vol.20 , pp. 075101
    • Brown, E.1    Ahlers, G.2
  • 32
    • 35948940497 scopus 로고    scopus 로고
    • Anomalous Reynolds-number scaling in turbulent Rayleigh-Bénard convection
    • 10.1088/1742-5468/2007/10/P10005
    • Brown, E., D. Funfschilling, and G. Ahlers, 2007, " Anomalous Reynolds-number scaling in turbulent Rayleigh-Bénard convection, " J. Stat. Mech.: Theory Exp. 2007, P10005. 10.1088/1742-5468/2007/10/P10005
    • (2007) J. Stat. Mech.: Theory Exp. , vol.2007 , pp. 10005
    • Brown, E.1    Funfschilling, D.2    Ahlers, G.3
  • 33
    • 13844278651 scopus 로고    scopus 로고
    • Heat transport by turbulent Rayleigh-Bénard convection: Effect of finite top- and bottom conductivity
    • 10.1063/1.1964987
    • Brown, E., D. Funfschilling, A. Nikolaenko, and G. Ahlers, 2005, " Heat transport by turbulent Rayleigh-Bénard convection: Effect of finite top- and bottom conductivity, " Phys. Fluids 17, 075108. 10.1063/1.1964987
    • (2005) Phys. Fluids , vol.17 , pp. 075108
    • Brown, E.1    Funfschilling, D.2    Nikolaenko, A.3    Ahlers, G.4
  • 34
    • 27144448434 scopus 로고    scopus 로고
    • Reorientation of the large-scale circulation in turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevLett.95.084503
    • Brown, E., A. Nikolaenko, and G. Ahlers, 2005, " Reorientation of the large-scale circulation in turbulent Rayleigh-Bénard convection, " Phys. Rev. Lett. 95, 084503. 10.1103/PhysRevLett.95.084503
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 084503
    • Brown, E.1    Nikolaenko, A.2    Ahlers, G.3
  • 35
    • 0014543531 scopus 로고
    • On Howard's upper bound for heat transport in turbulent convection
    • 10.1017/S0022112069000668
    • Busse, F. H., 1969, " On Howard's upper bound for heat transport in turbulent convection, " J. Fluid Mech. 37, 457-477. 10.1017/ S0022112069000668
    • (1969) J. Fluid Mech. , vol.37 , pp. 457-477
    • Busse, F.H.1
  • 36
    • 0042418544 scopus 로고    scopus 로고
    • The sequence-of-bifurcations approach towards understanding turbulent fluid flow
    • 10.1023/A:1024860722683
    • Busse, F. H., 2003, " The sequence-of-bifurcations approach towards understanding turbulent fluid flow, " Surv. Geophys. 24, 269-288. 10.1023/A:1024860722683
    • (2003) Surv. Geophys. , vol.24 , pp. 269-288
    • Busse, F.H.1
  • 37
    • 33645025247 scopus 로고    scopus 로고
    • Exponentially growing solutions of homogeneous Rayleigh-Bénard flow
    • 10.1103/PhysRevE.73.035301
    • Calzavarini, E., C. R. Doering, J. D. Gibbon, D. Lohse, A. Tanabe, and F. Toschi, 2006, " Exponentially growing solutions of homogeneous Rayleigh-Bénard flow, " Phys. Rev. E 73, 035301 (R). 10.1103/PhysRevE.73.035301
    • (2006) Phys. Rev. e , vol.73 , pp. 035301
    • Calzavarini, E.1    Doering, C.R.2    Gibbon, J.D.3    Lohse, D.4    Tanabe, A.5    Toschi, F.6
  • 38
    • 20444408766 scopus 로고    scopus 로고
    • Rayleigh and Prandtl number scaling in the bulk of Rayleigh-Bénard turbulence
    • 10.1063/1.1884165
    • Calzavarini, E., D. Lohse, F. Toschi, and R. Tripiccione, 2005, " Rayleigh and Prandtl number scaling in the bulk of Rayleigh-Bénard turbulence, " Phys. Fluids 17, 055107. 10.1063/1.1884165
    • (2005) Phys. Fluids , vol.17 , pp. 055107
    • Calzavarini, E.1    Lohse, D.2    Toschi, F.3    Tripiccione, R.4
  • 39
    • 41349097053 scopus 로고    scopus 로고
    • Evidences of Bolgiano-Obhukhov scaling in three-dimensional Rayleigh-Bénard convection
    • 10.1103/PhysRevE.66.016304
    • Calzavarini, E., F. Toschi, and R. Tripiccione, 2002, " Evidences of Bolgiano-Obhukhov scaling in three-dimensional Rayleigh-Bénard convection, " Phys. Rev. E 66, 016304. 10.1103/PhysRevE.66.016304
    • (2002) Phys. Rev. e , vol.66 , pp. 016304
    • Calzavarini, E.1    Toschi, F.2    Tripiccione, R.3
  • 40
    • 0013028369 scopus 로고    scopus 로고
    • Convective turbulence in mercury: Scaling laws and spectra
    • 10.1063/1.869574
    • Camussi, R., and R. Verzicco, 1999, " Convective turbulence in mercury: Scaling laws and spectra, " Phys. Fluids 10, 516-527. 10.1063/1.869574
    • (1999) Phys. Fluids , vol.10 , pp. 516-527
    • Camussi, R.1    Verzicco, R.2
  • 41
    • 0028262556 scopus 로고
    • Chaotic thermal convection in a rapidly rotating spherical shell: Consequences for flow in the outer core
    • 10.1016/0031-9201(94)90075-2
    • Cardin, P., and P. Olson, 1994, " Chaotic thermal convection in a rapidly rotating spherical shell: Consequences for flow in the outer core, " Phys. Earth Planet. Inter. 82, 235-259. 10.1016/0031-9201(94)90075-2
    • (1994) Phys. Earth Planet. Inter. , vol.82 , pp. 235-259
    • Cardin, P.1    Olson, P.2
  • 43
    • 0042762639 scopus 로고    scopus 로고
    • On the interaction between convection and magnetic fields
    • 10.1086/374313
    • Cattaneo, F., T. Emonet, and N. Weiss, 2003, " On the interaction between convection and magnetic fields, " Astrophys. J. 588, 1183-1198. 10.1086/374313
    • (2003) Astrophys. J. , vol.588 , pp. 1183-1198
    • Cattaneo, F.1    Emonet, T.2    Weiss, N.3
  • 45
    • 61349197441 scopus 로고    scopus 로고
    • edited by I. P. Castro, P. E. Hancock, and T. G. Thomas (International Center for Numerical Methods in Engineering, CIMNE, Barcelona).
    • Chaumat, S., B. Castaing, and F. Chilla, 2002, in Advances in Turbulence IX, edited by, I. P. Castro, P. E. Hancock, and, T. G. Thomas, (International Center for Numerical Methods in Engineering, CIMNE, Barcelona).
    • (2002) Advances in Turbulence IX
    • Chaumat, S.1    Castaing, B.2    Chilla, F.3
  • 46
    • 4243216633 scopus 로고    scopus 로고
    • Observation of the ultimate regime in Rayleigh-Bénard convection
    • 10.1103/PhysRevLett.79.3648
    • Chavanne, X., F. Chilla, B. Castaing, B. Hebral, B. Chabaud, and J. Chaussy, 1997, " Observation of the ultimate regime in Rayleigh- Bénard convection, " Phys. Rev. Lett. 79, 3648-3651. 10.1103/PhysRevLett.79.3648
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 3648-3651
    • Chavanne, X.1    Chilla, F.2    Castaing, B.3    Hebral, B.4    Chabaud, B.5    Chaussy, J.6
  • 47
    • 0030189860 scopus 로고    scopus 로고
    • High Rayleigh number convection with gaseous helium at low temperature
    • 10.1007/BF00754092
    • Chavanne, X., F. Chillá, B. Chabaud, B. Castaing, J. Chaussy, and B. Hébral, 1996, " High Rayleigh number convection with gaseous helium at low temperature, " J. Low Temp. Phys. 104, 109-129. 10.1007/BF00754092
    • (1996) J. Low Temp. Phys. , vol.104 , pp. 109-129
    • Chavanne, X.1    Chillá, F.2    Chabaud, B.3    Castaing, B.4    Chaussy, J.5    Hébral, B.6
  • 48
    • 0035337311 scopus 로고    scopus 로고
    • Turbulent Rayleigh-Bénard convection in gaseous and liquid He
    • 10.1063/1.1355683
    • Chavanne, X., F. Chilla, B. Chabaud, B. Castaing, and B. Hebral, 2001, " Turbulent Rayleigh-Bénard convection in gaseous and liquid He, " Phys. Fluids 13, 1300-1320. 10.1063/1.1355683
    • (2001) Phys. Fluids , vol.13 , pp. 1300-1320
    • Chavanne, X.1    Chilla, F.2    Chabaud, B.3    Castaing, B.4    Hebral, B.5
  • 49
    • 4544261811 scopus 로고    scopus 로고
    • Long relaxation times and tilt sensitivity in Rayleigh-Bénard turbulence
    • Chillà, F., M. Rastello, S. Chaumat, and B. Castaing, 2004a, " Long relaxation times and tilt sensitivity in Rayleigh-Bénard turbulence, " Eur. Phys. J. B 40, 223-227.
    • (2004) Eur. Phys. J. B , vol.40 , pp. 223-227
    • Chillà, F.1    Rastello, M.2    Chaumat, S.3    Castaing, B.4
  • 50
    • 3242730251 scopus 로고    scopus 로고
    • Ultimate regime in Rayleigh-Bénard convection: The role of plates
    • 10.1063/1.1751396
    • Chillà, F., M. Rastello, S. Chaumat, and B. Castaing, 2004b, " Ultimate regime in Rayleigh-Bénard convection: The role of plates, " Phys. Fluids 16, 2452-2456. 10.1063/1.1751396
    • (2004) Phys. Fluids , vol.16 , pp. 2452-2456
    • Chillà, F.1    Rastello, M.2    Chaumat, S.3    Castaing, B.4
  • 51
    • 4244113862 scopus 로고    scopus 로고
    • Heat flux and shear rate in turbulent convection
    • 10.1103/PhysRevE.55.1189
    • Ching, E. S. C., 1997, " Heat flux and shear rate in turbulent convection, " Phys. Rev. E 55, 1189-1192. 10.1103/PhysRevE.55.1189
    • (1997) Phys. Rev. e , vol.55 , pp. 1189-1192
    • Ching, E.S.C.1
  • 52
    • 19644386466 scopus 로고    scopus 로고
    • Extraction of plumes in turbulent thermal convection
    • 10.1103/PhysRevLett.93.124501
    • Ching, E. S. C., H. Guo, X. D. Shang, P. Tong, and K.-Q. Xia, 2004, " Extraction of plumes in turbulent thermal convection, " Phys. Rev. Lett. 93, 124501. 10.1103/PhysRevLett.93.124501
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 124501
    • Ching, E.S.C.1    Guo, H.2    Shang, X.D.3    Tong, P.4    Xia, K.-Q.5
  • 53
    • 0035475897 scopus 로고    scopus 로고
    • Heat transport by fluid flows with prescribed velocity fields
    • 10.1103/PhysRevE.64.046302
    • Ching, E. S. C., and K. F. Lo, 2001, " Heat transport by fluid flows with prescribed velocity fields, " Phys. Rev. E 64, 046302. 10.1103/PhysRevE.64.046302
    • (2001) Phys. Rev. e , vol.64 , pp. 046302
    • Ching, E.S.C.1    Lo, K.F.2
  • 54
    • 0038745196 scopus 로고    scopus 로고
    • Dependence of heat transport on the strength and shear rate of circulating flows
    • 10.1140/epjb/e2002-00189-6
    • Ching, E. S. C., and K. M. Pang, 2002, " Dependence of heat transport on the strength and shear rate of circulating flows, " Eur. Phys. J. B 27, 559-564. 10.1140/epjb/e2002-00189-6
    • (2002) Eur. Phys. J. B , vol.27 , pp. 559-564
    • Ching, E.S.C.1    Pang, K.M.2
  • 55
    • 33846103000 scopus 로고    scopus 로고
    • Aspect-ratio dependence of heat transport by turbulent Rayleigh-Bénard convection
    • Ching, E. S. C., and W. S. Tam, 2006, " Aspect-ratio dependence of heat transport by turbulent Rayleigh-Bénard convection, " J. Turbul. 7, 1-10.
    • (2006) J. Turbul. , vol.7 , pp. 1-10
    • Ching, E.S.C.1    Tam, W.S.2
  • 56
    • 23844484230 scopus 로고    scopus 로고
    • Experiments and a model of turbulent exchange flow in a vertical pipe
    • 10.1016/j.ijheatmasstransfer.2005.04.025
    • Cholemari, M. R., and J. H. Arakeri, 2005, " Experiments and a model of turbulent exchange flow in a vertical pipe, " Int. J. Heat Mass Transfer 48, 4467-4473. 10.1016/j.ijheatmasstransfer.2005.04.025
    • (2005) Int. J. Heat Mass Transfer , vol.48 , pp. 4467-4473
    • Cholemari, M.R.1    Arakeri, J.H.2
  • 57
    • 65549098814 scopus 로고    scopus 로고
    • Axially homogeneous, zero-mean flow buoyancy driven turbulence in a vertical pipe
    • 10.1017/S0022112008004254
    • Cholemari, M. R., and J. H. Arakeri, 2009, " Axially homogeneous, zero-mean flow buoyancy driven turbulence in a vertical pipe, " J. Fluid Mech. 621, 69. 10.1017/S0022112008004254
    • (2009) J. Fluid Mech. , vol.621 , pp. 69
    • Cholemari, M.R.1    Arakeri, J.H.2
  • 58
    • 0027469406 scopus 로고
    • Numerical evidence for nonuniversality of the soft/hard turbulence classification for thermal convection
    • Christie, S. L., and J. A. Domaradzki, 1992, " Numerical evidence for nonuniversality of the soft/hard turbulence classification for thermal convection, " Phys. Fluids A 5, 412-421.
    • (1992) Phys. Fluids A , vol.5 , pp. 412-421
    • Christie, S.L.1    Domaradzki, J.A.2
  • 59
    • 84976164397 scopus 로고
    • Turbulent convection in a horizontal layer of water
    • 10.1017/S0022112073000091
    • Chu, T. Y., and R. J. Goldstein, 1973, " Turbulent convection in a horizontal layer of water, " J. Fluid Mech. 60, 141-159. 10.1017/S0022112073000091
    • (1973) J. Fluid Mech. , vol.60 , pp. 141-159
    • Chu, T.Y.1    Goldstein, R.J.2
  • 60
    • 0000583693 scopus 로고    scopus 로고
    • Large-scale flow properties of turbulent thermal convection
    • 10.1103/PhysRevE.54.R5901
    • Ciliberto, S., S. Cioni, and C. Laroche, 1996, " Large-scale flow properties of turbulent thermal convection, " Phys. Rev. E 54, R5901-R5904. 10.1103/PhysRevE.54.R5901
    • (1996) Phys. Rev. e , vol.54
    • Ciliberto, S.1    Cioni, S.2    Laroche, C.3
  • 61
    • 0000326196 scopus 로고    scopus 로고
    • Random roughness of boundary increases the turbulent convection scaling exponent
    • 10.1103/PhysRevLett.82.3998
    • Ciliberto, S., and C. Laroche, 1999, " Random roughness of boundary increases the turbulent convection scaling exponent, " Phys. Rev. Lett. 82, 3998-4001. 10.1103/PhysRevLett.82.3998
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 3998-4001
    • Ciliberto, S.1    Laroche, C.2
  • 62
    • 84956231151 scopus 로고
    • Temperature structure functions in turbulent convection at low Prandtl number
    • 10.1209/0295-5075/32/5/006
    • Cioni, S., S. Ciliberto, and J. Sommeria, 1995, " Temperature structure functions in turbulent convection at low Prandtl number, " Europhys. Lett. 32, 413-418. 10.1209/0295-5075/32/5/006
    • (1995) Europhys. Lett. , vol.32 , pp. 413-418
    • Cioni, S.1    Ciliberto, S.2    Sommeria, J.3
  • 63
    • 0029673580 scopus 로고    scopus 로고
    • Experimental study of high Rayleigh-number convection in mercury and water
    • 10.1016/0377-0265(95)00453-X
    • Cioni, S., S. Ciliberto, and J. Sommeria, 1996, " Experimental study of high Rayleigh-number convection in mercury and water, " Dyn. Atmos. Oceans 24, 117-127. 10.1016/0377-0265(95)00453-X
    • (1996) Dyn. Atmos. Oceans , vol.24 , pp. 117-127
    • Cioni, S.1    Ciliberto, S.2    Sommeria, J.3
  • 64
    • 0031103949 scopus 로고    scopus 로고
    • Strongly turbulent Rayleigh-Bénard convection in mercury: Comparison with results at moderate Prandtl number
    • 10.1017/S0022112096004491
    • Cioni, S., S. Ciliberto, and J. Sommeria, 1997, " Strongly turbulent Rayleigh-Bénard convection in mercury: Comparison with results at moderate Prandtl number, " J. Fluid Mech. 335, 111-140. 10.1017/S0022112096004491
    • (1997) J. Fluid Mech. , vol.335 , pp. 111-140
    • Cioni, S.1    Ciliberto, S.2    Sommeria, J.3
  • 65
    • 0032589534 scopus 로고    scopus 로고
    • Infinite Prandtl number convection
    • 10.1023/A:1004511312885
    • Constantin, P., and C. Doering, 1999, " Infinite Prandtl number convection, " J. Stat. Phys. 94, 159-172. 10.1023/A:1004511312885
    • (1999) J. Stat. Phys. , vol.94 , pp. 159-172
    • Constantin, P.1    Doering, C.2
  • 67
    • 0343912319 scopus 로고
    • Natural convective cooling of wires
    • Davis, A. H., 1922a, " Natural convective cooling of wires, " Philos. Mag. 43, 329-339.
    • (1922) Philos. Mag. , vol.43 , pp. 329-339
    • Davis, A.H.1
  • 68
    • 0342606610 scopus 로고
    • Natural convective in cooling in fluids
    • Davis, A. H., 1922b, " Natural convective in cooling in fluids, " Philos. Mag. 44, 920-940.
    • (1922) Philos. Mag. , vol.44 , pp. 920-940
    • Davis, A.H.1
  • 69
    • 0035968834 scopus 로고    scopus 로고
    • Does turbulent convection feel the shape of the container?
    • 10.1103/PhysRevLett.87.184501
    • Daya, Z. A., and R. E. Ecke, 2001, " Does turbulent convection feel the shape of the container?, " Phys. Rev. Lett. 87, 184501. 10.1103/PhysRevLett.87.184501
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 184501
    • Daya, Z.A.1    Ecke, R.E.2
  • 70
    • 0000781189 scopus 로고
    • Numerical simulations of soft and hard turbulence-Preliminary results for two-dimensional convection
    • 10.1103/PhysRevLett.64.2370
    • DeLuca, E. E., J. Werne, R. Rosner, and F. Cattaneo, 1990, " Numerical simulations of soft and hard turbulence-Preliminary results for two-dimensional convection, " Phys. Rev. Lett. 64, 2370-2373. 10.1103/PhysRevLett.64.2370
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 2370-2373
    • Deluca, E.E.1    Werne, J.2    Rosner, R.3    Cattaneo, F.4
  • 71
    • 0001088644 scopus 로고    scopus 로고
    • Variational bounds on energy dissipation in incompressible flows: III. Convection
    • 10.1103/PhysRevE.53.5957
    • Doering, C., and P. Constantin, 1996, " Variational bounds on energy dissipation in incompressible flows: III. Convection, " Phys. Rev. E 53, 5957-5981. 10.1103/PhysRevE.53.5957
    • (1996) Phys. Rev. e , vol.53 , pp. 5957-5981
    • Doering, C.1    Constantin, P.2
  • 72
    • 0000916434 scopus 로고
    • Energy-dissipation in shear driven turbulence
    • 10.1103/PhysRevLett.69.1648
    • Doering, C. R., and P. Constantin, 1992, " Energy-dissipation in shear driven turbulence, " Phys. Rev. Lett. 69, 1648-1651. 10.1103/PhysRevLett.69.1648
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 1648-1651
    • Doering, C.R.1    Constantin, P.2
  • 73
    • 33748268887 scopus 로고    scopus 로고
    • Bounds on vertical heat transport for inifinite-Prandtl-number Rayleigh-Bénard convection
    • 10.1017/S0022112006000097
    • Doering, C. R., F. Otto, and M. G. Reznikoff, 2006, " Bounds on vertical heat transport for inifinite-Prandtl-number Rayleigh-Bénard convection, " J. Fluid Mech. 560, 229-241. 10.1017/S0022112006000097
    • (2006) J. Fluid Mech. , vol.560 , pp. 229-241
    • Doering, C.R.1    Otto, F.2    Reznikoff, M.G.3
  • 74
    • 57049166756 scopus 로고
    • Cambridge University Press, Cambridge, England).
    • Drazin, P., and W. H. Reid, 1981, Hydrodynamic Stability (Cambridge University Press, Cambridge, England).
    • (1981) Hydrodynamic Stability
    • Drazin, P.1    Reid, W.H.2
  • 75
    • 0033924724 scopus 로고    scopus 로고
    • Turbulent thermal convection in a cell with ordered rough boundaries
    • 10.1017/S0022112099007624
    • Du, Y. B., and P. Tong, 2000, " Turbulent thermal convection in a cell with ordered rough boundaries, " J. Fluid Mech. 407, 57-84. 10.1017/S0022112099007624
    • (2000) J. Fluid Mech. , vol.407 , pp. 57-84
    • Du, Y.B.1    Tong, P.2
  • 76
    • 0035305775 scopus 로고    scopus 로고
    • Temperature fluctuations in a convection cell with rough upper and lower surfaces
    • 10.1103/PhysRevE.63.046303
    • Du, Y. B., and P. Tong, 2001, " Temperature fluctuations in a convection cell with rough upper and lower surfaces, " Phys. Rev. E 63, 046303. 10.1103/PhysRevE.63.046303
    • (2001) Phys. Rev. e , vol.63 , pp. 046303
    • Du, Y.B.1    Tong, P.2
  • 77
    • 0040157473 scopus 로고    scopus 로고
    • Momentum transport and torque scaling in Taylor-Couette flow from an analogy with turbulent convection
    • 10.1007/s100510170205
    • Dubrulle, B., 2001, " Momentum transport and torque scaling in Taylor-Couette flow from an analogy with turbulent convection, " Eur. Phys. J. B 21, 295. 10.1007/s100510170205
    • (2001) Eur. Phys. J. B , vol.21 , pp. 295
    • Dubrulle, B.1
  • 78
    • 0042306531 scopus 로고    scopus 로고
    • Scaling in large Prandtl number turbulent thermal convection
    • 10.1140/epjb/e2002-00239-1
    • Dubrulle, B., 2002, " Scaling in large Prandtl number turbulent thermal convection, " Eur. Phys. J. B 28, 361-367. 10.1140/epjb/e2002- 00239-1
    • (2002) Eur. Phys. J. B , vol.28 , pp. 361-367
    • Dubrulle, B.1
  • 79
    • 36849070849 scopus 로고    scopus 로고
    • Mean velocity profile in confined turbulent convection
    • 10.1103/PhysRevLett.99.234504
    • du Puits, R., C. Resagk, and A. Thess, 2007, " Mean velocity profile in confined turbulent convection, " Phys. Rev. Lett. 99, 234504. 10.1103/PhysRevLett.99.234504
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 234504
    • Du Puits, R.1    Resagk, C.2    Thess, A.3
  • 80
    • 33846369375 scopus 로고    scopus 로고
    • Structure of thermal boundary layers in turbulent Rayleigh-Bénard convection
    • 10.1017/S0022112006003569
    • du Puits, R., C. Resagk, A. Tilgner, F. H. Busse, and A. Thess, 2007, " Structure of thermal boundary layers in turbulent Rayleigh-Bénard convection, " J. Fluid Mech. 572, 231-254. 10.1017/S0022112006003569
    • (2007) J. Fluid Mech. , vol.572 , pp. 231-254
    • Du Puits, R.1    Resagk, C.2    Tilgner, A.3    Busse, F.H.4    Thess, A.5
  • 81
    • 0012287827 scopus 로고    scopus 로고
    • Scaling of global momentum transport in Taylor-Couette and pipe flow
    • 10.1007/s100510070044
    • Eckhardt, B., S. Grossmann, and D. Lohse, 2000, " Scaling of global momentum transport in Taylor-Couette and pipe flow, " Eur. Phys. J. B 18, 541-544. 10.1007/s100510070044
    • (2000) Eur. Phys. J. B , vol.18 , pp. 541-544
    • Eckhardt, B.1    Grossmann, S.2    Lohse, D.3
  • 82
    • 79051471115 scopus 로고    scopus 로고
    • Fluxes and energy dissipation in thermal convection and shear flows
    • 10.1209/0295-5075/78/24001
    • Eckhardt, B., S. Grossmann, and D. Lohse, 2007a, " Fluxes and energy dissipation in thermal convection and shear flows, " Europhys. Lett. 78, 24001. 10.1209/0295-5075/78/24001
    • (2007) Europhys. Lett. , vol.78 , pp. 24001
    • Eckhardt, B.1    Grossmann, S.2    Lohse, D.3
  • 83
    • 34548153569 scopus 로고    scopus 로고
    • Torque scaling in turbulent Taylor-Couette flow between independently rotating cylinders
    • Eckhardt, B., S. Grossmann, and D. Lohse, 2007b, " Torque scaling in turbulent Taylor-Couette flow between independently rotating cylinders, " J. Fluid Mech. 581, 221-250.
    • (2007) J. Fluid Mech. , vol.581 , pp. 221-250
    • Eckhardt, B.1    Grossmann, S.2    Lohse, D.3
  • 84
    • 0036612234 scopus 로고    scopus 로고
    • Scaling of the velocity and temperature fluctuations in turbulent thermal convection
    • 10.1016/S0894-1777(02)00147-4
    • Fernandes, R. L. J., and R. J. Adrian, 2002, " Scaling of the velocity and temperature fluctuations in turbulent thermal convection, " Exp. Therm. Fluid Sci. 26, 355-360. 10.1016/S0894-1777(02)00147-4
    • (2002) Exp. Therm. Fluid Sci. , vol.26 , pp. 355-360
    • Fernandes, R.L.J.1    Adrian, R.J.2
  • 85
    • 0037174972 scopus 로고    scopus 로고
    • High-Rayleigh-number convection of pressurized gases in a horizontal enclosure
    • Fleischer, A. S., and R. J. Goldstein, 2002, " High-Rayleigh-number convection of pressurized gases in a horizontal enclosure, " J. Fluid Mech. 469, 1-12.
    • (2002) J. Fluid Mech. , vol.469 , pp. 1-12
    • Fleischer, A.S.1    Goldstein, R.J.2
  • 86
    • 27144539840 scopus 로고    scopus 로고
    • Wind reversals in turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevLett.95.084502
    • Fontenele Araujo, F., S. Grossmann, and D. Lohse, 2005, " Wind reversals in turbulent Rayleigh-Bénard convection, " Phys. Rev. Lett. 95, 084502. 10.1103/PhysRevLett.95.084502
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 084502
    • Fontenele Araujo, F.1    Grossmann, S.2    Lohse, D.3
  • 87
    • 0004185784 scopus 로고
    • Cambridge University Press, Cambridge, England).
    • Frisch, U., 1995, Turbulence (Cambridge University Press, Cambridge, England).
    • (1995) Turbulence
    • Frisch, U.1
  • 88
    • 17044454149 scopus 로고    scopus 로고
    • Plume motion and large scale circulation in a cylindrical Rayleigh-Bénard cell
    • 10.1103/PhysRevLett.92.194502
    • Funfschilling, D., and G. Ahlers, 2004, " Plume motion and large scale circulation in a cylindrical Rayleigh-Bénard cell, " Phys. Rev. Lett. 92, 194502. 10.1103/PhysRevLett.92.194502
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 194502
    • Funfschilling, D.1    Ahlers, G.2
  • 89
    • 47049085515 scopus 로고    scopus 로고
    • Torsional oscillations of the large-scale circulation in turbulent Rayleigh-Bénard convection
    • Funfschilling, D., E. Brown, and G. Ahlers, 2008, " Torsional oscillations of the large-scale circulation in turbulent Rayleigh-Bénard convection, " J. Fluid Mech. 607, 119-139.
    • (2008) J. Fluid Mech. , vol.607 , pp. 119-139
    • Funfschilling, D.1    Brown, E.2    Ahlers, G.3
  • 90
    • 23844436950 scopus 로고    scopus 로고
    • Heat transport by turbulent Rayleigh-Bénard convection in cylindrical cells with aspect ratio one and larger
    • 10.1017/S0022112005005057
    • Funfschilling, D., E. Brown, A. Nikolaenko, and G. Ahlers, 2005, " Heat transport by turbulent Rayleigh-Bénard convection in cylindrical cells with aspect ratio one and larger, " J. Fluid Mech. 536, 145-154. 10.1017/S0022112005005057
    • (2005) J. Fluid Mech. , vol.536 , pp. 145-154
    • Funfschilling, D.1    Brown, E.2    Nikolaenko, A.3    Ahlers, G.4
  • 92
    • 33644544394 scopus 로고    scopus 로고
    • High-Rayleigh-number convection in a vertical channel
    • 10.1103/PhysRevLett.96.084501
    • Gibert, M., H. Pabiou, F. Chilla, and B. Castaing, 2006, " High-Rayleigh-number convection in a vertical channel, " Phys. Rev. Lett. 96, 084501 10.1103/PhysRevLett.96.084501
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 084501
    • Gibert, M.1    Pabiou, H.2    Chilla, F.3    Castaing, B.4
  • 94
    • 0029505490 scopus 로고
    • A 3-dimensional self-consistent computer simulation of a geomagnetic field reversal
    • 10.1038/377203a0
    • Glatzmaier, G. A., and P. H. Roberts, 1995, " A 3-dimensional self-consistent computer simulation of a geomagnetic field reversal, " Nature (London) 377, 203-209. 10.1038/377203a0
    • (1995) Nature (London) , vol.377 , pp. 203-209
    • Glatzmaier, G.A.1    Roberts, P.H.2
  • 95
    • 0033602414 scopus 로고    scopus 로고
    • Evidence against ultrahard thermal turbulence at very high Rayleigh numbers
    • 10.1038/18626
    • Glazier, J. A., T. Segawa, A. Naert, and M. Sano, 1999, " Evidence against ultrahard thermal turbulence at very high Rayleigh numbers, " Nature (London) 398, 307-310. 10.1038/18626
    • (1999) Nature (London) , vol.398 , pp. 307-310
    • Glazier, J.A.1    Segawa, T.2    Naert, A.3    Sano, M.4
  • 97
    • 0642321756 scopus 로고
    • Characteristic scales in Rayleigh-Bénard convection
    • 10.1016/0375-9601(93)90087-G
    • Grossmann, S., and D. Lohse, 1993, " Characteristic scales in Rayleigh-Bénard convection, " Phys. Lett. A 173, 58. 10.1016/0375-9601(93)90087-G
    • (1993) Phys. Lett. A , vol.173 , pp. 58
    • Grossmann, S.1    Lohse, D.2
  • 98
    • 0033925498 scopus 로고    scopus 로고
    • Scaling in thermal convection: A unifying view
    • 10.1017/S0022112099007545
    • Grossmann, S., and D. Lohse, 2000, " Scaling in thermal convection: A unifying view, " J. Fluid Mech. 407, 27-56. 10.1017/S0022112099007545
    • (2000) J. Fluid Mech. , vol.407 , pp. 27-56
    • Grossmann, S.1    Lohse, D.2
  • 99
    • 17644446010 scopus 로고    scopus 로고
    • Thermal convection for large Prandtl number
    • 10.1103/PhysRevLett.86.3316
    • Grossmann, S., and D. Lohse, 2001, " Thermal convection for large Prandtl number, " Phys. Rev. Lett. 86, 3316-3319. 10.1103/PhysRevLett.86. 3316
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 3316-3319
    • Grossmann, S.1    Lohse, D.2
  • 100
    • 37649026515 scopus 로고    scopus 로고
    • Prandtl and Rayleigh number dependence of the Reynolds number in turbulent thermal convection
    • 10.1103/PhysRevE.66.016305
    • Grossmann, S., and D. Lohse, 2002, " Prandtl and Rayleigh number dependence of the Reynolds number in turbulent thermal convection, " Phys. Rev. E 66, 016305. 10.1103/PhysRevE.66.016305
    • (2002) Phys. Rev. e , vol.66 , pp. 016305
    • Grossmann, S.1    Lohse, D.2
  • 101
    • 0037623695 scopus 로고    scopus 로고
    • On geometry effects in Rayleigh-Bénard convection
    • 10.1017/S0022112003004270
    • Grossmann, S., and D. Lohse, 2003, " On geometry effects in Rayleigh-Bénard convection, " J. Fluid Mech. 486, 105-114. 10.1017/S0022112003004270
    • (2003) J. Fluid Mech. , vol.486 , pp. 105-114
    • Grossmann, S.1    Lohse, D.2
  • 102
    • 13844259779 scopus 로고    scopus 로고
    • Fluctuations in turbulent Rayleigh-Bénard convection: The role of plumes
    • 10.1063/1.1807751
    • Grossmann, S., and D. Lohse, 2004, " Fluctuations in turbulent Rayleigh-Bénard convection: The role of plumes, " Phys. Fluids 16, 4462-4472. 10.1063/1.1807751
    • (2004) Phys. Fluids , vol.16 , pp. 4462-4472
    • Grossmann, S.1    Lohse, D.2
  • 104
    • 0020138693 scopus 로고
    • Direct numerical simulation of laminar and turbulent Bénard convection
    • 10.1017/S0022112082001256
    • Grötzbach, G., 1982, " Direct numerical simulation of laminar and turbulent Bénard convection, " J. Fluid Mech. 119, 27-53. 10.1017/S0022112082001256
    • (1982) J. Fluid Mech. , vol.119 , pp. 27-53
    • Grötzbach, G.1
  • 105
    • 0000686054 scopus 로고
    • Spatial resolution for direct numerical simulations of Rayleigh-Bénard convection
    • 10.1016/0021-9991(83)90125-0
    • Grötzbach, G., 1983, " Spatial resolution for direct numerical simulations of Rayleigh-Bénard convection, " J. Comput. Phys. 49, 241-264. 10.1016/0021-9991(83)90125-0
    • (1983) J. Comput. Phys. , vol.49 , pp. 241-264
    • Grötzbach, G.1
  • 106
    • 42749100962 scopus 로고    scopus 로고
    • Coherent structures in boundary layers of Rayleigh-Bénard convection
    • 10.1103/PhysRevE.69.056306
    • Haramina, T., and A. Tilgner, 2004, " Coherent structures in boundary layers of Rayleigh-Bénard convection, " Phys. Rev. E 69, 056306. 10.1103/PhysRevE.69.056306
    • (2004) Phys. Rev. e , vol.69 , pp. 056306
    • Haramina, T.1    Tilgner, A.2
  • 107
    • 0141564728 scopus 로고    scopus 로고
    • Large scale structures in Rayleigh-Bénard convection at high Rayleigh numbers
    • 10.1103/PhysRevLett.91.064501
    • Hartlep, T., A. Tilgner, and F. H. Busse, 2003, " Large scale structures in Rayleigh-Bénard convection at high Rayleigh numbers, " Phys. Rev. Lett. 91, 064501. 10.1103/PhysRevLett.91.064501
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 064501
    • Hartlep, T.1    Tilgner, A.2    Busse, F.H.3
  • 108
    • 28644450038 scopus 로고    scopus 로고
    • Transition to turbulent convection in a fluid layer heated from below at moderate aspect ratio
    • 10.1017/S0022112005006671
    • Hartlep, T., A. Tilgner, and F. H. Busse, 2005, " Transition to turbulent convection in a fluid layer heated from below at moderate aspect ratio, " J. Fluid Mech. 544, 309-322. 10.1017/S0022112005006671
    • (2005) J. Fluid Mech. , vol.544 , pp. 309-322
    • Hartlep, T.1    Tilgner, A.2    Busse, F.H.3
  • 109
    • 0035894802 scopus 로고    scopus 로고
    • Tropical convection and the energy balance at the top of the atmosphere
    • 10.1175/1520-0442(2001)014<4495:TCATEB>2.0.CO;2
    • Hartmann, D. L., L. A. Moy, and Q. Fu, 2001, " Tropical convection and the energy balance at the top of the atmosphere, " J. Clim. 14, 4495-4511. 10.1175/1520-0442(2001)014<4495:TCATEB>2.0.CO;2
    • (2001) J. Clim. , vol.14 , pp. 4495-4511
    • Hartmann, D.L.1    Moy, L.A.2    Fu, Q.3
  • 110
    • 0000303932 scopus 로고
    • Transition to turbulence in helium gas
    • 10.1103/PhysRevA.36.5870
    • Heslot, F., B. Castaing, and A. Libchaber, 1987, " Transition to turbulence in helium gas, " Phys. Rev. A 36, 5870-5873. 10.1103/PhysRevA.36.5870
    • (1987) Phys. Rev. A , vol.36 , pp. 5870-5873
    • Heslot, F.1    Castaing, B.2    Libchaber, A.3
  • 112
    • 27744515272 scopus 로고    scopus 로고
    • Asymptotic analysis of the near-wall region of turbulent natural convection flows
    • 10.1017/S0022112005006300
    • Hölling, M., and H. Herwig, 2005, " Asymptotic analysis of the near-wall region of turbulent natural convection flows, " J. Fluid Mech. 541, 383-397. 10.1017/S0022112005006300
    • (2005) J. Fluid Mech. , vol.541 , pp. 383-397
    • Hölling, M.1    Herwig, H.2
  • 113
    • 33144466306 scopus 로고    scopus 로고
    • Asymptotic analysis of heat transfer in turbulent Rayleigh-Bénard convection
    • 10.1016/j.ijheatmasstransfer.2005.09.002
    • Hölling, M., and H. Herwig, 2006, " Asymptotic analysis of heat transfer in turbulent Rayleigh-Bénard convection, " Int. J. Heat Mass Transfer 49, 1129-1136. 10.1016/j.ijheatmasstransfer.2005.09.002
    • (2006) Int. J. Heat Mass Transfer , vol.49 , pp. 1129-1136
    • Hölling, M.1    Herwig, H.2
  • 114
    • 0032722342 scopus 로고    scopus 로고
    • Turbulent Rayleigh-Bénard convection in low Prandtl number fluids
    • 10.1016/S0017-9310(99)00059-9
    • Horanyi, S., L. Krebs, and U. Müller, 1999, " Turbulent Rayleigh-Bénard convection in low Prandtl number fluids, " Int. J. Heat Mass Transfer 42, 3983-4003. 10.1016/S0017-9310(99)00059-9
    • (1999) Int. J. Heat Mass Transfer , vol.42 , pp. 3983-4003
    • Horanyi, S.1    Krebs, L.2    Müller, U.3
  • 115
    • 5344252236 scopus 로고
    • Heat transport by turbulent convection
    • 10.1017/S0022112063001427
    • Howard L.N., Heat transport by turbulent convection, J. Fluid Mech., 17, 405-432.
    • (1963) J. Fluid Mech. , vol.17 , pp. 405-432
    • Howard, L.N.1
  • 116
    • 5344252236 scopus 로고
    • Bounds on flow quantities
    • Howard, L. N., 1963, " Heat transport by turbulent convection, " J. Fluid Mech. 17, 405-432. 10.1017/S0022112063001427
    • (1972) Annu. Rev. Fluid Mech. , vol.4 , pp. 473-494
    • Howard, L.N.1
  • 117
    • 0032844691 scopus 로고    scopus 로고
    • The fluid mechanics of natural ventilation-Displacement ventilation by buoyancy-driven flows assisted by wind
    • 10.1016/S0360-1323(98)00053-5
    • Hunt, G. R., and P. F. Linden, 1999, " The fluid mechanics of natural ventilation-Displacement ventilation by buoyancy-driven flows assisted by wind, " Build. Environ. 34, 707-720. 10.1016/S0360-1323(98)00053-5
    • (1999) Build. Environ. , vol.34 , pp. 707-720
    • Hunt, G.R.1    Linden, P.F.2
  • 118
    • 37649021791 scopus 로고    scopus 로고
    • Rayleigh-Bénard convection with imposed heat flux
    • 10.1063/1.2786003
    • Johnston, H., and C. R. Doering, 2007, " Rayleigh-Bénard convection with imposed heat flux, " Chaos 17, 041103. 10.1063/1.2786003
    • (2007) Chaos , vol.17 , pp. 041103
    • Johnston, H.1    Doering, C.R.2
  • 119
    • 61349095470 scopus 로고    scopus 로고
    • Comparison of turbulent thermal convection between conditions of constant temperature and constant flux
    • 10.1103/PhysRevLett.102.064501
    • Johnston, H., and C. R. Doering, 2009, " Comparison of turbulent thermal convection between conditions of constant temperature and constant flux, " Phys. Rev. Lett. 102, 064501. 10.1103/PhysRevLett.102.064501
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 064501
    • Johnston, H.1    Doering, C.R.2
  • 120
    • 0035419328 scopus 로고    scopus 로고
    • Turbulent heat flow: Structures and scaling
    • Kadanoff, L. P., 2001, " Turbulent heat flow: Structures and scaling, " Phys. Today 54 (8), 34-39.
    • (2001) Phys. Today , vol.54 , Issue.8 , pp. 34-39
    • Kadanoff, L.P.1
  • 121
    • 33646968862 scopus 로고    scopus 로고
    • Numerical insight into flow structure in ultraturbulent thermal convection
    • 10.1103/PhysRevE.66.036307
    • Kenjeres, S., and K. Hanjalic, 2002, " Numerical insight into flow structure in ultraturbulent thermal convection, " Phys. Rev. E 66, 036307. 10.1103/PhysRevE.66.036307
    • (2002) Phys. Rev. e , vol.66 , pp. 036307
    • Kenjeres, S.1    Hanjalic, K.2
  • 122
    • 0030088288 scopus 로고    scopus 로고
    • Rayleigh number scaling in numerical convection
    • 10.1017/S0022112096001760
    • Kerr, R., 1996, " Rayleigh number scaling in numerical convection, " J. Fluid Mech. 310, 139-179. 10.1017/S0022112096001760
    • (1996) J. Fluid Mech. , vol.310 , pp. 139-179
    • Kerr, R.1
  • 123
    • 0033815952 scopus 로고    scopus 로고
    • Prandtl number dependence of Nusselt number in direct numerical simulations
    • 10.1017/S0022112000001464
    • Kerr, R., and J. R. Herring, 2000, " Prandtl number dependence of Nusselt number in direct numerical simulations, " J. Fluid Mech. 419, 325-344. 10.1017/S0022112000001464
    • (2000) J. Fluid Mech. , vol.419 , pp. 325-344
    • Kerr, R.1    Herring, J.R.2
  • 124
    • 36849117606 scopus 로고
    • Turbulent thermal convection at arbritrary Prandtl number
    • 10.1063/1.1706533
    • Kraichnan, R. H., 1962, " Turbulent thermal convection at arbritrary Prandtl number, " Phys. Fluids 5, 1374-1389. 10.1063/1.1706533
    • (1962) Phys. Fluids , vol.5 , pp. 1374-1389
    • Kraichnan, R.H.1
  • 125
    • 0001674633 scopus 로고
    • Large scale flow generation in turbulent convection
    • 10.1073/pnas.78.4.1981
    • Krishnamurti, R., and L. N. Howard, 1981, " Large scale flow generation in turbulent convection, " Proc. Natl. Acad. Sci. U.S.A. 78, 1981-1985. 10.1073/pnas.78.4.1981
    • (1981) Proc. Natl. Acad. Sci. U.S.A. , vol.78 , pp. 1981-1985
    • Krishnamurti, R.1    Howard, L.N.2
  • 126
    • 40749158317 scopus 로고    scopus 로고
    • A numerical and experimental investigation of structure function scaling in turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevE.77.016302
    • Kunnen, R. P. J., H. J. H. Clercx, B. J. Geurts, L. A. Bokhoven, R. A. D. Akkermans, and R. Verzicco, 2008, " A numerical and experimental investigation of structure function scaling in turbulent Rayleigh-Bénard convection, " Phys. Rev. E 77, 016302. 10.1103/PhysRevE.77.016302
    • (2008) Phys. Rev. e , vol.77 , pp. 016302
    • Kunnen, R.P.J.1    Clercx, H.J.H.2    Geurts, B.J.3    Bokhoven, L.A.4    Akkermans, R.A.D.5    Verzicco, R.6
  • 127
    • 41349099819 scopus 로고    scopus 로고
    • Prandtl-number dependence of the viscous boundary layer and the Reynolds-number in Rayleigh-Bénard convection
    • 10.1103/PhysRevE.65.066306
    • Lam, S., X. D. Shang, S. Q. Zhou, and K.-Q. Xia, 2002, " Prandtl-number dependence of the viscous boundary layer and the Reynolds-number in Rayleigh-Bénard convection, " Phys. Rev. E 65, 066306. 10.1103/PhysRevE.65.066306
    • (2002) Phys. Rev. e , vol.65 , pp. 066306
    • Lam, S.1    Shang, X.D.2    Zhou, S.Q.3    Xia, K.-Q.4
  • 129
    • 0037462934 scopus 로고    scopus 로고
    • The ultimate state of thermal convection
    • 10.1103/PhysRevLett.90.034502
    • Lohse, D., and F. Toschi, 2003, " The ultimate state of thermal convection, " Phys. Rev. Lett. 90, 034502. 10.1103/PhysRevLett.90.034502
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 034502
    • Lohse, D.1    Toschi, F.2
  • 130
    • 72049116001 scopus 로고    scopus 로고
    • Small-scale properties of turbulent Rayleigh-Bénard convection
    • Lohse, D., and K.-Q. Xia, 2010, " Small-scale properties of turbulent Rayleigh-Bénard convection, " Ann. Rev. Fluid Mech. (to be published).
    • (2010) Ann. Rev. Fluid Mech.
    • Lohse, D.1    Xia, K.-Q.2
  • 131
    • 0000420660 scopus 로고    scopus 로고
    • Spatial structure of the thermal boundary layer in turbulent convection
    • 10.1103/PhysRevE.57.5494
    • Lui, S. L., and K.-Q. Xia, 1998, " Spatial structure of the thermal boundary layer in turbulent convection, " Phys. Rev. E 57, 5494-5503. 10.1103/PhysRevE.57.5494
    • (1998) Phys. Rev. e , vol.57 , pp. 5494-5503
    • Lui, S.L.1    Xia, K.-Q.2
  • 132
    • 0000109675 scopus 로고
    • The heat transport and spectrum of thermal turbulence
    • 10.1098/rspa.1954.0197
    • Malkus, M. V. R., 1954, " The heat transport and spectrum of thermal turbulence, " Proc. R. Soc. London, Ser. A 225, 196-212. 10.1098/rspa.1954.0197
    • (1954) Proc. R. Soc. London, Ser. A , vol.225 , pp. 196-212
    • Malkus, M.V.R.1
  • 133
    • 0033006763 scopus 로고    scopus 로고
    • Open-ocean convection: Observations, theory, and models
    • 10.1029/98RG02739
    • Marshall, J., and F. Schott, 1999, " Open-ocean convection: Observations, theory, and models, " Rev. Geophys. 37, 1-64. 10.1029/98RG02739
    • (1999) Rev. Geophys. , vol.37 , pp. 1-64
    • Marshall, J.1    Schott, F.2
  • 134
    • 34547308759 scopus 로고    scopus 로고
    • Structure of the thermal boundary layer for turbulent Rayleigh-Bénard convection of air in a long rectangular enclosure
    • 10.1103/PhysRevE.75.066303
    • Maystrenko, A., C. Resagk, and A. Thess, 2006, " Structure of the thermal boundary layer for turbulent Rayleigh-Bénard convection of air in a long rectangular enclosure, " Phys. Rev. E 75, 066303. 10.1103/PhysRevE.75.066303
    • (2006) Phys. Rev. e , vol.75 , pp. 066303
    • Maystrenko, A.1    Resagk, C.2    Thess, A.3
  • 135
    • 0016026085 scopus 로고
    • Convection in the Earth's mantle: Towards a numerical simulation
    • 10.1017/S0022112074000784
    • McKenzie, D. P., J. M. Roberts, and N. O. Weiss, 1974, " Convection in the Earth's mantle: towards a numerical simulation, " J. Fluid Mech. 62, 465-538. 10.1017/S0022112074000784
    • (1974) J. Fluid Mech. , vol.62 , pp. 465-538
    • McKenzie, D.P.1    Roberts, J.M.2    Weiss, N.O.3
  • 138
    • 0010167477 scopus 로고    scopus 로고
    • High-Reynolds-number thermal turbulence in mercury
    • 10.1103/PhysRevE.56.R1302
    • Naert, A., T. Segawa, and M. Sano, 1997, " High-Reynolds-number thermal turbulence in mercury, " Phys. Rev. E 56, R1302-R1305. 10.1103/PhysRevE.56.R1302
    • (1997) Phys. Rev. e , vol.56
    • Naert, A.1    Segawa, T.2    Sano, M.3
  • 140
    • 0035951043 scopus 로고    scopus 로고
    • The wind in confined thermal turbulence
    • 10.1017/S0022112001006310
    • Niemela, J., L. Skrbek, K. R. Sreenivasan, and R. J. Donnelly, 2001, " The wind in confined thermal turbulence, " J. Fluid Mech. 449, 169-178. 10.1017/S0022112001006310
    • (2001) J. Fluid Mech. , vol.449 , pp. 169-178
    • Niemela, J.1    Skrbek, L.2    Sreenivasan, K.R.3    Donnelly, R.J.4
  • 141
    • 0038662675 scopus 로고    scopus 로고
    • Confined turbulent convection
    • Niemela, J., and K. R. Sreenivasan, 2003a, " Confined turbulent convection, " J. Fluid Mech. 481, 355-384.
    • (2003) J. Fluid Mech. , vol.481 , pp. 355-384
    • Niemela, J.1    Sreenivasan, K.R.2
  • 142
    • 33746041858 scopus 로고    scopus 로고
    • Turbulent convection at high Rayleigh numbers and aspect ratio 4
    • Niemela, J., and K. R. Sreenivasan, 2006a, " Turbulent convection at high Rayleigh numbers and aspect ratio 4, " J. Fluid Mech. 557, 411-422.
    • (2006) J. Fluid Mech. , vol.557 , pp. 411-422
    • Niemela, J.1    Sreenivasan, K.R.2
  • 143
    • 33750725063 scopus 로고    scopus 로고
    • The use of cryogenic helium for classical turbulence: Promises and hurdles
    • Niemela, J., and K. R. Sreenivasan, 2006b, " The use of cryogenic helium for classical turbulence: Promises and hurdles, " J. Low Temp. Phys. 143, 163-212.
    • (2006) J. Low Temp. Phys. , vol.143 , pp. 163-212
    • Niemela, J.1    Sreenivasan, K.R.2
  • 145
    • 0034462343 scopus 로고    scopus 로고
    • New results in cryogenic helium flows at ultra-high Reynolds and Rayleigh numbers
    • 10.1023/A:1017505931073
    • Niemela, J. J., L. Skrbek, C. Swanson, S. Hall, K. R. Sreenivasan, and R. J. Donnelly, 2000, " New results in cryogenic helium flows at ultra-high Reynolds and Rayleigh numbers, " J. Low Temp. Phys. 121, 417-422. 10.1023/A:1017505931073
    • (2000) J. Low Temp. Phys. , vol.121 , pp. 417-422
    • Niemela, J.J.1    Skrbek, L.2    Swanson, C.3    Hall, S.4    Sreenivasan, K.R.5    Donnelly, R.J.6
  • 146
    • 0038375040 scopus 로고    scopus 로고
    • Rayleigh-number evolution of large-scale coherent motion in turbulent convection
    • Niemela, J. J., and K. R. Sreenivasan, 2003b, " Rayleigh-number evolution of large-scale coherent motion in turbulent convection, " Europhys. Lett. 62, 829-833.
    • (2003) Europhys. Lett. , vol.62 , pp. 829-833
    • Niemela, J.J.1    Sreenivasan, K.R.2
  • 147
    • 0141904462 scopus 로고    scopus 로고
    • Nusselt number measurements for turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevLett.91.084501
    • Nikolaenko, A., and G. Ahlers, 2003, " Nusselt number measurements for turbulent Rayleigh-Bénard convection, " Phys. Rev. Lett. 91, 084501. 10.1103/PhysRevLett.91.084501
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 084501
    • Nikolaenko, A.1    Ahlers, G.2
  • 148
    • 13844292728 scopus 로고    scopus 로고
    • Heat transport by turbulent Rayleigh-Bénard convection in cylindrical cells with aspect ratio one and less
    • 10.1017/S0022112004002289
    • Nikolaenko, A., E. Brown, D. Funfschilling, and G. Ahlers, 2005, " Heat transport by turbulent Rayleigh-Bénard convection in cylindrical cells with aspect ratio one and less, " J. Fluid Mech. 523, 251-260. 10.1017/S0022112004002289
    • (2005) J. Fluid Mech. , vol.523 , pp. 251-260
    • Nikolaenko, A.1    Brown, E.2    Funfschilling, D.3    Ahlers, G.4
  • 149
    • 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.
    • (1879) Ann. Phys. Chem. , vol.7 , pp. 271
    • Oberbeck, A.1
  • 151
    • 0037176322 scopus 로고    scopus 로고
    • Bounds on Rayleigh-Benard convection with an imposed heat flux
    • Otero, J., R. W. Wittenberg, R. A. Worthing, and C. R. Doering, 2002, " Bounds on Rayleigh-Benard convection with an imposed heat flux, " J. Fluid Mech. 473, 191-199.
    • (2002) J. Fluid Mech. , vol.473 , pp. 191-199
    • Otero, J.1    Wittenberg, R.W.2    Worthing, R.A.3    Doering, C.R.4
  • 152
    • 0037163776 scopus 로고    scopus 로고
    • Dynamics of air avalanches in the access pit of an underground quarry
    • 10.1103/PhysRevLett.89.134501
    • Perrier, F., P. Morat, and J. L. LeMouel, 2002, " Dynamics of air avalanches in the access pit of an underground quarry, " Phys. Rev. Lett. 89, 134501. 10.1103/PhysRevLett.89.134501
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 134501
    • Perrier, F.1    Morat, P.2    Lemouel, J.L.3
  • 153
    • 0037465214 scopus 로고    scopus 로고
    • Improved upper bound on the energy dissipation rate in plane Couette flow: The full solution to Busse's problem and the Constantin-Doering-Hopf problem with one-dimensional background field
    • Plasting, S. C., and R. R. Kerswell, 2003, " Improved upper bound on the energy dissipation rate in plane Couette flow: The full solution to Busse's problem and the Constantin-Doering-Hopf problem with one-dimensional background field, " J. Fluid Mech. 477, 363-379.
    • (2003) J. Fluid Mech. , vol.477 , pp. 363-379
    • Plasting, S.C.1    Kerswell, R.R.2
  • 155
    • 0011945116 scopus 로고
    • Transition to convective turbulence: The role of thermal plumes
    • 10.1103/PhysRevA.44.8091
    • Procaccia, I., E. S. C. Ching, P. Constantin, L. P. Kadanoff, A. Libchaber, and X. Z. Wu, 1991, " Transition to convective turbulence: The role of thermal plumes, " Phys. Rev. A 44, 8091-8102. 10.1103/PhysRevA.44. 8091
    • (1991) Phys. Rev. A , vol.44 , pp. 8091-8102
    • Procaccia, I.1    Ching, E.S.C.2    Constantin, P.3    Kadanoff, L.P.4    Libchaber, A.5    Wu, X.Z.6
  • 156
    • 15944414572 scopus 로고    scopus 로고
    • The multifractal nature of plume structure in high-Rayleigh-number convection
    • 10.1017/S0022112004002897
    • Puthenveettil, B. A., G. Ananthakrishna, and J. H. Arakeri, 2005, " The multifractal nature of plume structure in high-Rayleigh-number convection, " J. Fluid Mech. 526, 245-256. 10.1017/S0022112004002897
    • (2005) J. Fluid Mech. , vol.526 , pp. 245-256
    • Puthenveettil, B.A.1    Ananthakrishna, G.2    Arakeri, J.H.3
  • 157
    • 27844454412 scopus 로고    scopus 로고
    • Plume structure in high-Rayleigh-number convection
    • 10.1017/S002211200500618X
    • Puthenveettil, B. A., and J. H. Arakeri, 2005, " Plume structure in high-Rayleigh-number convection, " J. Fluid Mech. 542, 217-249. 10.1017/S002211200500618X
    • (2005) J. Fluid Mech. , vol.542 , pp. 217-249
    • Puthenveettil, B.A.1    Arakeri, J.H.2
  • 158
    • 48849090892 scopus 로고    scopus 로고
    • Convection due to an unstable density difference across a permeable membrane
    • Puthenveettil, B. A., and J. H. Arakeri, 2008, " Convection due to an unstable density difference across a permeable membrane, " J. Fluid Mech. 609, 139-170.
    • (2008) J. Fluid Mech. , vol.609 , pp. 139-170
    • Puthenveettil, B.A.1    Arakeri, J.H.2
  • 159
    • 1542290495 scopus 로고    scopus 로고
    • Velocity oscillations in turbulent Rayleigh-Bénard convection
    • 10.1063/1.1637350
    • Qiu, X. L., X. D. Shang, P. Tong, and K.-Q. Xia, 2004, " Velocity oscillations in turbulent Rayleigh-Bénard convection, " Phys. Fluids 16, 412-423. 10.1063/1.1637350
    • (2004) Phys. Fluids , vol.16 , pp. 412-423
    • Qiu, X.L.1    Shang, X.D.2    Tong, P.3    Xia, K.-Q.4
  • 160
    • 0035443692 scopus 로고    scopus 로고
    • Large scale velocity structures in turbulent thermal convection
    • 10.1103/PhysRevE.64.036304
    • Qiu, X. L., and P. Tong, 2001a, " Large scale velocity structures in turbulent thermal convection, " Phys. Rev. E 64, 036304. 10.1103/PhysRevE.64.036304
    • (2001) Phys. Rev. e , vol.64 , pp. 036304
    • Qiu, X.L.1    Tong, P.2
  • 161
    • 4244113036 scopus 로고    scopus 로고
    • Onset of coherent oscillations in turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevLett.87.094501
    • Qiu, X. L., and P. Tong, 2001b, " Onset of coherent oscillations in turbulent Rayleigh-Bénard convection, " Phys. Rev. Lett. 87, 094501. 10.1103/PhysRevLett.87.094501
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 094501
    • Qiu, X.L.1    Tong, P.2
  • 162
    • 37649030526 scopus 로고    scopus 로고
    • Temperature oscillations in turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevE.66.026308
    • Qiu, X. L., and P. Tong, 2002, " Temperature oscillations in turbulent Rayleigh-Bénard convection, " Phys. Rev. E 66, 026308. 10.1103/PhysRevE.66.026308
    • (2002) Phys. Rev. e , vol.66 , pp. 026308
    • Qiu, X.L.1    Tong, P.2
  • 163
    • 0003217760 scopus 로고    scopus 로고
    • Spatial structure of the viscous boundary layer in turbulent convection
    • 10.1103/PhysRevE.58.5816
    • Qiu, X. L., and K.-Q. Xia, 1998a, " Spatial structure of the viscous boundary layer in turbulent convection, " Phys. Rev. E 58, 5816-5820. 10.1103/PhysRevE.58.5816
    • (1998) Phys. Rev. e , vol.58 , pp. 5816-5820
    • Qiu, X.L.1    Xia, K.-Q.2
  • 164
    • 0001573196 scopus 로고    scopus 로고
    • Viscous boundary layers at the sidewall of a convection cell
    • 10.1103/PhysRevE.58.486
    • Qiu, X. L., and K.-Q. Xia, 1998b, " Viscous boundary layers at the sidewall of a convection cell, " Phys. Rev. E 58, 486-491. 10.1103/PhysRevE.58.486
    • (1998) Phys. Rev. e , vol.58 , pp. 486-491
    • Qiu, X.L.1    Xia, K.-Q.2
  • 165
    • 33644550640 scopus 로고    scopus 로고
    • Experimental study of velocity boundary layer near a rough conducting surface in turbulent natural convection
    • Qiu, X. L., K. Q. Xia, and P. Tong, 2005, " Experimental study of velocity boundary layer near a rough conducting surface in turbulent natural convection, " J. Turbul. 6, 1-13.
    • (2005) J. Turbul. , vol.6 , pp. 1-13
    • Qiu, X.L.1    Xia, K.Q.2    Tong, P.3
  • 166
    • 0034206472 scopus 로고    scopus 로고
    • Large-scale coherent rotation and oscillation in turbulent thermal convection
    • 10.1103/PhysRevE.61.R6075
    • Qiu, X. L., S. H. Yao, and P. Tong, 2000, " Large-scale coherent rotation and oscillation in turbulent thermal convection, " Phys. Rev. E 61, R6075-R6078. 10.1103/PhysRevE.61.R6075
    • (2000) Phys. Rev. e , vol.61
    • Qiu, X.L.1    Yao, S.H.2    Tong, P.3
  • 167
    • 0033840033 scopus 로고    scopus 로고
    • The thermohaline ocean circulation: A system with dangerous thresholds?
    • 10.1023/A:1005648404783
    • Rahmstorf, S., 2000, " The thermohaline ocean circulation: A system with dangerous thresholds?, " Clim. Change 46, 247-256. 10.1023/A:1005648404783
    • (2000) Clim. Change , vol.46 , pp. 247-256
    • Rahmstorf, S.1
  • 169
    • 0001336863 scopus 로고    scopus 로고
    • Side wall effects in Rayleigh-Bénard experiments
    • 10.1007/s10051-001-8690-5
    • Roche, P., B. Castaing, B. Chabaud, B. Hebral, and J. Sommeria, 2001, " Side wall effects in Rayleigh-Bénard experiments, " Eur. Phys. J. B 24, 405-408. 10.1007/s10051-001-8690-5
    • (2001) Eur. Phys. J. B , vol.24 , pp. 405-408
    • Roche, P.1    Castaing, B.2    Chabaud, B.3    Hebral, B.4    Sommeria, J.5
  • 170
    • 30044436014 scopus 로고    scopus 로고
    • Ultimate regime of convection: Robustness to poor thermal reservoirs
    • 10.1063/1.2136807
    • Roche, P., F. Gauthier, B. Chabaud, and B. Hébral, 2005, " Ultimate regime of convection: Robustness to poor thermal reservoirs, " Phys. Fluids 17, 115107. 10.1063/1.2136807
    • (2005) Phys. Fluids , vol.17 , pp. 115107
    • Roche, P.1    Gauthier, F.2    Chabaud, B.3    Hébral, B.4
  • 171
    • 0035305108 scopus 로고    scopus 로고
    • Observation of the 12 power law in Rayleigh-Bénard convection
    • 10.1103/PhysRevE.63.045303
    • Roche, P. E., B. Castaing, B. Chabaud, and B. Hebral, 2001, " Observation of the 12 power law in Rayleigh-Bénard convection, " Phys. Rev. E 63, 045303 (R). 10.1103/PhysRevE.63.045303
    • (2001) Phys. Rev. e , vol.63 , pp. 045303
    • Roche, P.E.1    Castaing, B.2    Chabaud, B.3    Hebral, B.4
  • 172
    • 0036591813 scopus 로고    scopus 로고
    • Prandtl and Rayleigh numbers dependences in Rayleigh-Bénard convection
    • 10.1209/epl/i2002-00405-1
    • Roche, P. E., B. Castaing, B. Chabaud, and B. Hebral, 2002, " Prandtl and Rayleigh numbers dependences in Rayleigh-Bénard convection, " Europhys. Lett. 58, 693-698. 10.1209/epl/i2002-00405-1
    • (2002) Europhys. Lett. , vol.58 , pp. 693-698
    • Roche, P.E.1    Castaing, B.2    Chabaud, B.3    Hebral, B.4
  • 173
    • 1842664400 scopus 로고    scopus 로고
    • Heat transfer in turbulent Rayleigh-Bénard convection below the ultimate regime
    • 10.1023/B:JOLT.0000016727.23228.78
    • Roche, P. E., B. Castaing, B. Chabaud, and B. Hebral, 2004, " Heat transfer in turbulent Rayleigh-Bénard convection below the ultimate regime, " J. Low Temp. Phys. 134, 1011-1042. 10.1023/B:JOLT.0000016727. 23228.78
    • (2004) J. Low Temp. Phys. , vol.134 , pp. 1011-1042
    • Roche, P.E.1    Castaing, B.2    Chabaud, B.3    Hebral, B.4
  • 174
    • 0014492103 scopus 로고
    • A study of Bénard convection with and without rotation
    • 10.1017/S0022112069001674
    • Rossby, H. T., 1969, " A study of Bénard convection with and without rotation, " J. Fluid Mech. 36, 309-335. 10.1017/S0022112069001674
    • (1969) J. Fluid Mech. , vol.36 , pp. 309-335
    • Rossby, H.T.1
  • 175
    • 0000107395 scopus 로고
    • Turbulence in helium-gas gree-convection
    • 10.1103/PhysRevA.40.6421
    • Sano, M., X. Z. Wu, and A. Libchaber, 1989, " Turbulence in helium-gas gree-convection, " Phys. Rev. A 40, 6421-6430. 10.1103/PhysRevA.40.6421
    • (1989) Phys. Rev. A , vol.40 , pp. 6421-6430
    • Sano, M.1    Wu, X.Z.2    Libchaber, A.3
  • 177
    • 0013033447 scopus 로고    scopus 로고
    • The influence of the Prandtl number on the style of vigorous thermal convection
    • 10.1080/0309192021000049929
    • Schmalzl, J., M. Breuer, and U. Hansen, 2002, " The influence of the Prandtl number on the style of vigorous thermal convection, " Geophys. Astrophys. Fluid Dyn. 96, 381-403. 10.1080/0309192021000049929
    • (2002) Geophys. Astrophys. Fluid Dyn. , vol.96 , pp. 381-403
    • Schmalzl, J.1    Breuer, M.2    Hansen, U.3
  • 178
    • 3843060046 scopus 로고    scopus 로고
    • On the validity of two-dimensional numerical approaches to time-dependent thermal convection
    • 10.1209/epl/i2003-10298-4
    • Schmalzl, J., M. Breuer, S. Wessling, and U. Hansen, 2004, " On the validity of two-dimensional numerical approaches to time-dependent thermal convection, " Europhys. Lett. 67, 390-396. 10.1209/epl/i2003-10298-4
    • (2004) Europhys. Lett. , vol.67 , pp. 390-396
    • Schmalzl, J.1    Breuer, M.2    Wessling, S.3    Hansen, U.4
  • 179
    • 0037458431 scopus 로고    scopus 로고
    • Measured local heat transport in turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevLett.90.074501
    • Shang, X. D., X. L. Qiu, P. Tong, and K.-Q. Xia, 2003, " Measured local heat transport in turbulent Rayleigh-Bénard convection, " Phys. Rev. Lett. 90, 074501. 10.1103/PhysRevLett.90.074501
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 074501
    • Shang, X.D.1    Qiu, X.L.2    Tong, P.3    Xia, K.-Q.4
  • 180
    • 37649032396 scopus 로고    scopus 로고
    • Measurements of the local convective heat flux in turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevE.70.026308
    • Shang, X.-D., X.-L. Qiu, P. Tong, and K.-Q. Xia, 2004, " Measurements of the local convective heat flux in turbulent Rayleigh- Bénard convection, " Phys. Rev. E 70, 026308. 10.1103/PhysRevE.70. 026308
    • (2004) Phys. Rev. e , vol.70 , pp. 026308
    • Shang, X.-D.1    Qiu, X.-L.2    Tong, P.3    Xia, K.-Q.4
  • 181
    • 45749128663 scopus 로고    scopus 로고
    • Scaling of the local convective heat flux in turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevLett.100.244503
    • Shang, X. D., P. Tong, and K.-Q. Xia, 2008, " Scaling of the local convective heat flux in turbulent Rayleigh-Bénard convection, " Phys. Rev. Lett. 100, 244503. 10.1103/PhysRevLett.100.244503
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 244503
    • Shang, X.D.1    Tong, P.2    Xia, K.-Q.3
  • 182
    • 31144460476 scopus 로고    scopus 로고
    • Analysis of thermal dissipation rates in turbulent Rayleigh-Bénard convection
    • Shishkina, O., and C. Wagner, 2006, " Analysis of thermal dissipation rates in turbulent Rayleigh-Bénard convection, " J. Fluid Mech. 546, 51-60.
    • (2006) J. Fluid Mech. , vol.546 , pp. 51-60
    • Shishkina, O.1    Wagner, C.2
  • 183
    • 35348875555 scopus 로고    scopus 로고
    • Local heat fluxes in turbulent Rayleigh-Bénard convection
    • 10.1063/1.2756583
    • Shishkina, O., and C. Wagner, 2007, " Local heat fluxes in turbulent Rayleigh-Bénard convection, " Phys. Fluids 19, 085107. 10.1063/1.2756583
    • (2007) Phys. Fluids , vol.19 , pp. 085107
    • Shishkina, O.1    Wagner, C.2
  • 184
    • 40549145162 scopus 로고    scopus 로고
    • Analysis of sheetlike thermal plumes in turbulent Rayleigh-Bénard convection
    • Shishkina, O., and C. Wagner, 2008, " Analysis of sheetlike thermal plumes in turbulent Rayleigh-Bénard convection, " J. Fluid Mech. 599, 383-404.
    • (2008) J. Fluid Mech. , vol.599 , pp. 383-404
    • Shishkina, O.1    Wagner, C.2
  • 185
    • 0000011029 scopus 로고
    • Heat transport in high-Rayleigh number convection
    • 10.1103/PhysRevA.42.3650
    • Shraiman, B. I. and E. D. Siggia, 1990, " Heat transport in high-Rayleigh number convection, " Phys. Rev. A 42, 3650-3653. 10.1103/PhysRevA.42.3650
    • (1990) Phys. Rev. A , vol.42 , pp. 3650-3653
    • Shraiman, B.I.1    Siggia, E.D.2
  • 186
    • 4243254563 scopus 로고
    • High Rayleigh number convection
    • 10.1146/annurev.fl.26.010194.001033
    • Siggia, E. D., 1994, " High Rayleigh number convection, " Annu. Rev. Fluid Mech. 26, 137-168. 10.1146/annurev.fl.26.010194.001033
    • (1994) Annu. Rev. Fluid Mech. , vol.26 , pp. 137-168
    • Siggia, E.D.1
  • 187
    • 2842608793 scopus 로고
    • Simulation of turbulent thermal convection
    • Sirovich, L., S. Balachandar, and M. R. Maxey, 1989, " Simulation of turbulent thermal convection, " Phys. Fluids A 1, 1911-1914.
    • (1989) Phys. Fluids A , vol.1 , pp. 1911-1914
    • Sirovich, L.1    Balachandar, S.2    Maxey, M.R.3
  • 188
    • 0000453333 scopus 로고
    • Convection in stars
    • 10.1146/annurev.aa.09.090171.001543
    • Spiegel, E. A., 1971, " Convection in stars, " Annu. Rev. Astron. Astrophys. 9, 323-352. 10.1146/annurev.aa.09.090171.001543
    • (1971) Annu. Rev. Astron. Astrophys. , vol.9 , pp. 323-352
    • Spiegel, E.A.1
  • 189
    • 41349095667 scopus 로고    scopus 로고
    • Mean wind and its reversals in thermal convection
    • 10.1103/PhysRevE.65.056306
    • Sreenivasan, K. R., A. Bershadski, and J. Niemela, 2002, " Mean wind and its reversals in thermal convection, " Phys. Rev. E 65, 056306. 10.1103/PhysRevE.65.056306
    • (2002) Phys. Rev. e , vol.65 , pp. 056306
    • Sreenivasan, K.R.1    Bershadski, A.2    Niemela, J.3
  • 191
    • 33746098191 scopus 로고    scopus 로고
    • Turbulent thermal convection over grooved plates
    • 10.1017/S0022112006009785
    • Stringano, G., G. Pascazio, and R. Verzicco, 2006, " Turbulent thermal convection over grooved plates, " J. Fluid Mech. 557, 307-336. 10.1017/S0022112006009785
    • (2006) J. Fluid Mech. , vol.557 , pp. 307-336
    • Stringano, G.1    Pascazio, G.2    Verzicco, R.3
  • 192
    • 32044452683 scopus 로고    scopus 로고
    • Mean flow structure in thermal convection in a cylindrical cell of aspect-ratio one half
    • 10.1017/S0022112005007378
    • Stringano, G., and R. Verzicco, 2006, " Mean flow structure in thermal convection in a cylindrical cell of aspect-ratio one half, " J. Fluid Mech. 548, 1-16. 10.1017/S0022112005007378
    • (2006) J. Fluid Mech. , vol.548 , pp. 1-16
    • Stringano, G.1    Verzicco, R.2
  • 193
    • 70449679496 scopus 로고    scopus 로고
    • Non-Oberbeck-Boussinesq effects in Rayleigh-Bénard convection: Beyond boundary-layer theory
    • 10.1209/0295-5075/80/34002
    • Sugiyama, K., E. Calzavarini, S. Grossmann, and D. Lohse, 2007, " Non-Oberbeck-Boussinesq effects in Rayleigh-Bénard convection: Beyond boundary-layer theory, " Europhys. Lett. 80, 34002. 10.1209/0295-5075/80/ 34002
    • (2007) Europhys. Lett. , vol.80 , pp. 34002
    • Sugiyama, K.1    Calzavarini, E.2    Grossmann, S.3    Lohse, D.4
  • 194
    • 76249087619 scopus 로고    scopus 로고
    • Flow organization in non-Oberbeck-Boussinesq Rayleigh-Bénard convection in water
    • Sugiyama, K., E. Calzavarini, S. Grossmann, and D. Lohse, 2009, " Flow organization in non-Oberbeck-Boussinesq Rayleigh-Bénard convection in water, " J. Fluid Mech. (in press).
    • (2009) J. Fluid Mech.
    • Sugiyama, K.1    Calzavarini, E.2    Grossmann, S.3    Lohse, D.4
  • 195
    • 44449143581 scopus 로고    scopus 로고
    • Experimental studies of the viscous boundary layer properties in turbulent Rayleigh-Bénard convection
    • Sun, C., Y. H. Cheung, and K. Q. Xia, 2008, " Experimental studies of the viscous boundary layer properties in turbulent Rayleigh-Bénard convection, " J. Fluid Mech. 605, 79-113.
    • (2008) J. Fluid Mech. , vol.605 , pp. 79-113
    • Sun, C.1    Cheung, Y.H.2    Xia, K.Q.3
  • 196
    • 27844466863 scopus 로고    scopus 로고
    • Heat transport by turbulent Rayleigh-Bénard convection in 1 m diameter cylindrical cells of widely varying aspect ratio
    • 10.1017/S0022112005006610
    • Sun, C., L.-Y. Ren, H. Song, and K.-Q. Xia, 2005, " Heat transport by turbulent Rayleigh-Bénard convection in 1 m diameter cylindrical cells of widely varying aspect ratio, " J. Fluid Mech. 542, 165-174. 10.1017/S0022112005006610
    • (2005) J. Fluid Mech. , vol.542 , pp. 165-174
    • Sun, C.1    Ren, L.-Y.2    Song, H.3    Xia, K.-Q.4
  • 197
    • 27144509101 scopus 로고    scopus 로고
    • Azimuthal symmetry, flow dynamics, and heat transport in turbulent thermal convection in a cylinder with an aspect ratio of 0.5
    • 10.1103/PhysRevLett.95.074502
    • Sun, C., H. D. Xi, and K. Q. Xia, 2005, " Azimuthal symmetry, flow dynamics, and heat transport in turbulent thermal convection in a cylinder with an aspect ratio of 0.5, " Phys. Rev. Lett. 95, 074502. 10.1103/PhysRevLett. 95.074502
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 074502
    • Sun, C.1    Xi, H.D.2    Xia, K.Q.3
  • 198
    • 33244470143 scopus 로고    scopus 로고
    • Scaling of the Reynolds number in turbulent thermal convection
    • 10.1103/PhysRevE.72.067302
    • Sun, C., and K.-Q. Xia, 2005, " Scaling of the Reynolds number in turbulent thermal convection, " Phys. Rev. E 72, 067302. 10.1103/PhysRevE.72.067302
    • (2005) Phys. Rev. e , vol.72 , pp. 067302
    • Sun, C.1    Xia, K.-Q.2
  • 199
    • 27244444395 scopus 로고    scopus 로고
    • Three-dimensional flow structures and dynamics of turbulent thermal convection in a cylindrical cell
    • 10.1103/PhysRevE.72.026302
    • Sun, C., K. Q. Xia, and P. Tong, 2005, " Three-dimensional flow structures and dynamics of turbulent thermal convection in a cylindrical cell, " Phys. Rev. E 72, 026302. 10.1103/PhysRevE.72.026302
    • (2005) Phys. Rev. e , vol.72 , pp. 026302
    • Sun, C.1    Xia, K.Q.2    Tong, P.3
  • 200
    • 33749370409 scopus 로고    scopus 로고
    • Cascades of velocity and temperature fluctuations in buoyancy-driven thermal turbulence
    • 10.1103/PhysRevLett.97.144504
    • Sun, C., Q. Zhou, and K. Q. Xia, 2006, " Cascades of velocity and temperature fluctuations in buoyancy-driven thermal turbulence, " Phys. Rev. Lett. 97, 144504. 10.1103/PhysRevLett.97.144504
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 144504
    • Sun, C.1    Zhou, Q.2    Xia, K.Q.3
  • 201
    • 0000104481 scopus 로고    scopus 로고
    • Thermal turbulence in mercury
    • 10.1103/PhysRevLett.76.1465
    • Takeshita, T., T. Segawa, J. A. Glazier, and M. Sano, 1996, " Thermal turbulence in mercury, " Phys. Rev. Lett. 76, 1465-1468. 10.1103/PhysRevLett.76.1465
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 1465-1468
    • Takeshita, T.1    Segawa, T.2    Glazier, J.A.3    Sano, M.4
  • 202
    • 0032179736 scopus 로고    scopus 로고
    • A model for near-wall dynamics in turbulent Rayleigh-Bénard convection
    • Theerthan, S. A., and J. H. Arakeri, 1998, " A model for near-wall dynamics in turbulent Rayleigh-Bénard convection, " J. Fluid Mech. 372, 221-254.
    • (1998) J. Fluid Mech. , vol.372 , pp. 221-254
    • Theerthan, S.A.1    Arakeri, J.H.2
  • 203
    • 0034123333 scopus 로고    scopus 로고
    • Planform structure and heat transfer in turbulent free convection over horizontal surfaces
    • 10.1063/1.870343
    • Theerthan, S. A., and J. H. Arakeri, 2000, " Planform structure and heat transfer in turbulent free convection over horizontal surfaces, " Phys. Fluids 12, 884-894. 10.1063/1.870343
    • (2000) Phys. Fluids , vol.12 , pp. 884-894
    • Theerthan, S.A.1    Arakeri, J.H.2
  • 204
    • 0016433470 scopus 로고
    • Free convection in low temperature gaseous helium
    • 10.1017/S0022112075000158
    • Threlfall, D. C., 1975, " Free convection in low temperature gaseous helium, " J. Fluid Mech. 67, 17-28. 10.1017/S0022112075000158
    • (1975) J. Fluid Mech. , vol.67 , pp. 17-28
    • Threlfall, D.C.1
  • 205
    • 5944234063 scopus 로고
    • Temperature and velocity profiles of turbulence convection in water
    • 10.1103/PhysRevE.47.R2253
    • Tilgner, A., A. Belmonte, and A. Libchaber, 1993, " Temperature and velocity profiles of turbulence convection in water, " Phys. Rev. E 47, R2253-R2256. 10.1103/PhysRevE.47.R2253
    • (1993) Phys. Rev. e , vol.47
    • Tilgner, A.1    Belmonte, A.2    Libchaber, A.3
  • 206
    • 56349084651 scopus 로고    scopus 로고
    • Direct numerical simulation of supercritical annular electroconvection
    • 10.1103/PhysRevE.76.026305
    • Tsai, P., Z. A. Daya, V. B. Deyirmenjian, and S. W. Morris, 2007, " Direct numerical simulation of supercritical annular electroconvection, " Phys. Rev. E 76, 026305. 10.1103/PhysRevE.76.026305
    • (2007) Phys. Rev. e , vol.76 , pp. 026305
    • Tsai, P.1    Daya, Z.A.2    Deyirmenjian, V.B.3    Morris, S.W.4
  • 207
    • 1842557600 scopus 로고    scopus 로고
    • Aspect-ratio dependence of charge transport in turbulent electroconvection
    • Tsai, P., Z. A. Daya, and S. W. Morris, 2003, " Aspect-ratio dependence of charge transport in turbulent electroconvection, " Phys. Rev. Lett. 92, 084503.
    • (2003) Phys. Rev. Lett. , vol.92 , pp. 084503
    • Tsai, P.1    Daya, Z.A.2    Morris, S.W.3
  • 208
    • 28844440125 scopus 로고    scopus 로고
    • Charge transport scaling in turbulent electroconvection
    • 10.1103/PhysRevE.72.046311
    • Tsai, P., Z. A. Daya, and S. W. Morris, 2005, " Charge transport scaling in turbulent electroconvection, " Phys. Rev. E 72, 046311. 10.1103/PhysRevE.72.046311
    • (2005) Phys. Rev. e , vol.72 , pp. 046311
    • Tsai, P.1    Daya, Z.A.2    Morris, S.W.3
  • 209
    • 0034040386 scopus 로고    scopus 로고
    • Statistics of wind direction and its increments
    • 10.1063/1.870288
    • van Doorn, E., B. Dhruva, K. R. Sreenivasan, and V. Cassella, 2000, " Statistics of wind direction and its increments, " Phys. Fluids 12, 1529. 10.1063/1.870288
    • (2000) Phys. Fluids , vol.12 , pp. 1529
    • Van Doorn, E.1    Dhruva, B.2    Sreenivasan, K.R.3    Cassella, V.4
  • 210
    • 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
  • 211
    • 2942645275 scopus 로고    scopus 로고
    • Turbulent thermal convection in a closed domain: Viscous boundary layer and mean flow effects
    • 10.1140/epjb/e2003-00264-6
    • Verzicco, R., 2003, " Turbulent thermal convection in a closed domain: Viscous boundary layer and mean flow effects, " Eur. Phys. J. B 35, 133-141. 10.1140/epjb/e2003-00264-6
    • (2003) Eur. Phys. J. B , vol.35 , pp. 133-141
    • Verzicco, R.1
  • 212
    • 2942682932 scopus 로고    scopus 로고
    • Effect of non-perfect thermal sources in turbulent thermal convection
    • 10.1063/1.1723463
    • Verzicco, R., 2004, " Effect of non-perfect thermal sources in turbulent thermal convection, " Phys. Fluids 16, 1965-1979. 10.1063/1.1723463
    • (2004) Phys. Fluids , vol.16 , pp. 1965-1979
    • Verzicco, R.1
  • 213
    • 0030826318 scopus 로고    scopus 로고
    • Transitional regimes of low-Prandtl thermal convection in a cylindrical cell
    • 10.1063/1.869244
    • Verzicco, R., and R. Camussi, 1997, " Transitional regimes of low-Prandtl thermal convection in a cylindrical cell, " Phys. Fluids 9, 1287-1295. 10.1063/1.869244
    • (1997) Phys. Fluids , vol.9 , pp. 1287-1295
    • Verzicco, R.1    Camussi, R.2
  • 214
    • 0032678790 scopus 로고    scopus 로고
    • Prandtl number effects in convective turbulence
    • 10.1017/S0022112098003619
    • Verzicco, R., and R. Camussi, 1999, " Prandtl number effects in convective turbulence, " J. Fluid Mech. 383, 55-73. 10.1017/ S0022112098003619
    • (1999) J. Fluid Mech. , vol.383 , pp. 55-73
    • Verzicco, R.1    Camussi, R.2
  • 215
    • 0037465223 scopus 로고    scopus 로고
    • Numerical experiments on strongly turbulent thermal convection in a slender cylindrical cell
    • Verzicco, R., and R. Camussi, 2003, " Numerical experiments on strongly turbulent thermal convection in a slender cylindrical cell, " J. Fluid Mech. 477, 19-49.
    • (2003) J. Fluid Mech. , vol.477 , pp. 19-49
    • Verzicco, R.1    Camussi, R.2
  • 216
    • 38049110148 scopus 로고    scopus 로고
    • A comparison of turbulent thermal convection between conditions of constant temperature and constant heat flux
    • Verzicco, R., and K. R. Sreenivasan, 2008, " A comparison of turbulent thermal convection between conditions of constant temperature and constant heat flux, " J. Fluid Mech. 595, 203-219.
    • (2008) J. Fluid Mech. , vol.595 , pp. 203-219
    • Verzicco, R.1    Sreenivasan, K.R.2
  • 217
    • 0000603983 scopus 로고
    • Memory-induced low frequency oscillations in closed convection boxes
    • 10.1103/PhysRevLett.75.4618
    • Villermaux, E., 1995, " Memory-induced low frequency oscillations in closed convection boxes, " Phys. Rev. Lett. 75, 4618-4621. 10.1103/PhysRevLett.75.4618
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 4618-4621
    • Villermaux, E.1
  • 218
    • 1442322387 scopus 로고    scopus 로고
    • Spatial variations of the mean and statistical quantities in the thermal boundary layers of turbulent convection
    • Wang, J., and K.-Q. Xia, 2003, " Spatial variations of the mean and statistical quantities in the thermal boundary layers of turbulent convection, " Eur. Phys. J. B 32, 127-136.
    • (2003) Eur. Phys. J. B , vol.32 , pp. 127-136
    • Wang, J.1    Xia, K.-Q.2
  • 219
    • 0000991277 scopus 로고
    • Structure of hard-turbulent convection in two-dimensions: Numerical evidence
    • 10.1103/PhysRevE.48.1020
    • Werne, J., 1993, " Structure of hard-turbulent convection in two-dimensions: Numerical evidence, " Phys. Rev. E 48, 1020-1035. 10.1103/PhysRevE.48.1020
    • (1993) Phys. Rev. e , vol.48 , pp. 1020-1035
    • Werne, J.1
  • 220
    • 0000991276 scopus 로고
    • Development of hard-turbulence convection in two dimensions-Numerical evidence
    • 10.1103/PhysRevLett.67.3519
    • Werne, J., E. E. DeLuca, R. Rosner, and F. Cattaneo, 1991, " Development of hard-turbulence convection in two dimensions-Numerical evidence, " Phys. Rev. Lett. 67, 3519-3522. 10.1103/PhysRevLett.67.3519
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 3519-3522
    • Werne, J.1    Deluca, E.E.2    Rosner, R.3    Cattaneo, F.4
  • 221
    • 5344234561 scopus 로고
    • Frequency power spectrum of temperature-fluctuation in free-convection
    • 10.1103/PhysRevLett.64.2140
    • Wu, X. Z., L. Kadanoff, A. Libchaber, and M. Sano, 1990, " Frequency power spectrum of temperature-fluctuation in free-convection, " Phys. Rev. Lett. 64, 2140-2143. 10.1103/PhysRevLett.64.2140
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 2140-2143
    • Wu, X.Z.1    Kadanoff, L.2    Libchaber, A.3    Sano, M.4
  • 222
    • 35949008359 scopus 로고
    • Non-Boussinesq effects in free thermal convection
    • 10.1103/PhysRevA.43.2833
    • Wu, X. Z., and A. Libchaber, 1991, " Non-Boussinesq effects in free thermal convection, " Phys. Rev. A 43, 2833-2839. 10.1103/PhysRevA.43.2833
    • (1991) Phys. Rev. A , vol.43 , pp. 2833-2839
    • Wu, X.Z.1    Libchaber, A.2
  • 223
    • 35949007103 scopus 로고
    • Scaling relations in thermal turbulence: The aspect ratio dependence
    • 10.1103/PhysRevA.45.842
    • Wu, X. Z., and A. Libchaber, 1992, " Scaling relations in thermal turbulence: The aspect ratio dependence, " Phys. Rev. A 45, 842-845. 10.1103/PhysRevA.45.842
    • (1992) Phys. Rev. A , vol.45 , pp. 842-845
    • Wu, X.Z.1    Libchaber, A.2
  • 224
    • 1842738566 scopus 로고    scopus 로고
    • From laminar plumes to organized flows: The onset of large-scale circulation in turbulent thermal convection
    • 10.1017/S0022112004008079
    • Xi, H. D., S. Lam, and K.-Q. Xia, 2004, " From laminar plumes to organized flows: The onset of large-scale circulation in turbulent thermal convection, " J. Fluid Mech. 503, 47-56. 10.1017/S0022112004008079
    • (2004) J. Fluid Mech. , vol.503 , pp. 47-56
    • Xi, H.D.1    Lam, S.2    Xia, K.-Q.3
  • 225
    • 34547256319 scopus 로고    scopus 로고
    • Cessations and reversals of the large-scale circulation in turbulent thermal convection
    • 10.1103/PhysRevE.75.066307
    • Xi, H. D., and K. Q. Xia, 2007, " Cessations and reversals of the large-scale circulation in turbulent thermal convection, " Phys. Rev. E 75, 066307. 10.1103/PhysRevE.75.066307
    • (2007) Phys. Rev. e , vol.75 , pp. 066307
    • Xi, H.D.1    Xia, K.Q.2
  • 226
    • 53449084032 scopus 로고    scopus 로고
    • Azimuthal motion, reorientation, cessation, and reversal of the large-scale circulation in turbulent thermal convection: A comparison between aspect ratio one and one-half geometries
    • Xi, H. D., and K. Q. Xia, 2008a, " Azimuthal motion, reorientation, cessation, and reversal of the large-scale circulation in turbulent thermal convection: A comparison between aspect ratio one and one-half geometries, " Phys. Rev. E 78, 036326.
    • (2008) Phys. Rev. e , vol.78 , pp. 036326
    • Xi, H.D.1    Xia, K.Q.2
  • 227
    • 44649155145 scopus 로고    scopus 로고
    • Flow mode transitions in turbulent thermal convection
    • Xi, H. D., and K. Q. Xia, 2008b, " Flow mode transitions in turbulent thermal convection, " Phys. Fluids 20, 055104.
    • (2008) Phys. Fluids , vol.20 , pp. 055104
    • Xi, H.D.1    Xia, K.Q.2
  • 228
    • 33744461017 scopus 로고    scopus 로고
    • Azimuthal motion of the mean wind in turbulent thermal convection
    • 10.1103/PhysRevE.73.056312
    • Xi, H.-D., Q. Zhou, and K.-Q. Xia, 2006, " Azimuthal motion of the mean wind in turbulent thermal convection, " Phys. Rev. E 73, 056312. 10.1103/PhysRevE.73.056312
    • (2006) Phys. Rev. e , vol.73 , pp. 056312
    • Xi, H.-D.1    Zhou, Q.2    Xia, K.-Q.3
  • 229
    • 60449102137 scopus 로고    scopus 로고
    • Origin of the temperature oscillations in turbulent thermal convection
    • 10.1103/PhysRevLett.102.044503
    • Xi, H. D., S. Q. Zhou, Q. Zhou, T. S. Chan, and K. Q. Xia, 2009, " Origin of the temperature oscillations in turbulent thermal convection, " Phys. Rev. Lett. 102, 044503. 10.1103/PhysRevLett.102.044503
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 044503
    • Xi, H.D.1    Zhou, S.Q.2    Zhou, Q.3    Chan, T.S.4    Xia, K.Q.5
  • 230
    • 0037060309 scopus 로고    scopus 로고
    • Heat-flux measurement in high-Prandtl-number turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevLett.88.064501
    • Xia, K.-Q., S. Lam, and S. Q. Zhou, 2002, " Heat-flux measurement in high-Prandtl-number turbulent Rayleigh-Bénard convection, " Phys. Rev. Lett. 88, 064501. 10.1103/PhysRevLett.88.064501
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 064501
    • Xia, K.-Q.1    Lam, S.2    Zhou, S.Q.3
  • 231
    • 0000742105 scopus 로고    scopus 로고
    • Turbulent thermal convection with an obstructed sidewall
    • 10.1103/PhysRevLett.79.5006
    • Xia, K.-Q., and S.-L. Lui, 1997, " Turbulent thermal convection with an obstructed sidewall, " Phys. Rev. Lett. 79, 5006-5009. 10.1103/PhysRevLett.79.5006
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 5006-5009
    • Xia, K.-Q.1    Lui, S.-L.2
  • 232
    • 0033560196 scopus 로고    scopus 로고
    • Turbulent convection with "disconnected" top and bottom boundary layers
    • 10.1209/epl/i1999-00241-3
    • Xia, K.-Q., and X. L. Qiu, 1999, " Turbulent convection with "disconnected" top and bottom boundary layers, " Europhys. Lett. 46, 171-176. 10.1209/epl/i1999-00241-3
    • (1999) Europhys. Lett. , vol.46 , pp. 171-176
    • Xia, K.-Q.1    Qiu, X.L.2
  • 233
    • 1442354814 scopus 로고    scopus 로고
    • Particle image velocimetry measurement of the velocity field in turbulent thermal convection
    • 10.1103/PhysRevE.68.066303
    • Xia, K.-Q., C. Sun, and S. Q. Zhou, 2003, " Particle image velocimetry measurement of the velocity field in turbulent thermal convection, " Phys. Rev. E 68, 066303. 10.1103/PhysRevE.68.066303
    • (2003) Phys. Rev. e , vol.68 , pp. 066303
    • Xia, K.-Q.1    Sun, C.2    Zhou, S.Q.3
  • 234
    • 0031223614 scopus 로고    scopus 로고
    • Boundary layer length scales in convective turbulence
    • 10.1103/PhysRevE.56.3010
    • Xin, Y. B., and K.-Q. Xia, 1997, " Boundary layer length scales in convective turbulence, " Phys. Rev. E 56, 3010-3015. 10.1103/PhysRevE.56. 3010
    • (1997) Phys. Rev. e , vol.56 , pp. 3010-3015
    • Xin, Y.B.1    Xia, K.-Q.2
  • 235
    • 0000807782 scopus 로고    scopus 로고
    • Measured velocity boundary layers in turbulent convection
    • 10.1103/PhysRevLett.77.1266
    • Xin, Y. B., K.-Q. Xia, and P. Tong, 1996, " Measured velocity boundary layers in turbulent convection, " Phys. Rev. Lett. 77, 1266-1269. 10.1103/PhysRevLett.77.1266
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 1266-1269
    • Xin, Y.B.1    Xia, K.-Q.2    Tong, P.3
  • 236
    • 0001614825 scopus 로고    scopus 로고
    • Heat transport in turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevLett.84.4357
    • Xu, X., K. M. S. Bajaj, and G. Ahlers, 2000, " Heat transport in turbulent Rayleigh-Bénard convection, " Phys. Rev. Lett. 84, 4357-4360. 10.1103/PhysRevLett.84.4357
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 4357-4360
    • Xu, X.1    Bajaj, K.M.S.2    Ahlers, G.3
  • 237
    • 0000350435 scopus 로고
    • 45 Kolmogorov law for statistically stationary turbulence: Application to high Rayleigh number Bénard convection
    • 10.1103/PhysRevLett.69.769
    • Yakhot, V., 1992, " 45 Kolmogorov law for statistically stationary turbulence: Application to high Rayleigh number Bénard convection, " Phys. Rev. Lett. 69, 769-771. 10.1103/PhysRevLett.69.769
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 769-771
    • Yakhot, V.1
  • 238
    • 34547858900 scopus 로고    scopus 로고
    • Scaling in laminar natural convection in laterally heated cavities: Is turbulence essential in the classical scaling of heat transfer?
    • 10.1103/PhysRevE.76.026303
    • Yu, H., N. Li, and R. E. Ecke, 2007, " Scaling in laminar natural convection in laterally heated cavities: Is turbulence essential in the classical scaling of heat transfer?, " Phys. Rev. E 76, 026303. 10.1103/PhysRevE.76.026303
    • (2007) Phys. Rev. e , vol.76 , pp. 026303
    • Yu, H.1    Li, N.2    Ecke, R.E.3
  • 239
    • 65549137633 scopus 로고    scopus 로고
    • edited by P. Fox, and R. Kerr (Gordon and Breach Science, New York), pp.
    • Zaleski, S., 1998, in Geophysical and Astrophysical Convection, edited by, P. Fox, and, R. Kerr, (Gordon and Breach Science, New York), pp. 129-143.
    • (1998) Geophysical and Astrophysical Convection , pp. 129-143
    • Zaleski, S.1
  • 240
    • 0001247944 scopus 로고    scopus 로고
    • Non-Boussinesq effect: Thermal convection with broken symmetry
    • 10.1063/1.869198
    • Zhang, J., S. Childress, and A. Libchaber, 1997, " Non-Boussinesq effect: Thermal convection with broken symmetry, " Phys. Fluids 9, 1034-1042. 10.1063/1.869198
    • (1997) Phys. Fluids , vol.9 , pp. 1034-1042
    • Zhang, J.1    Childress, S.2    Libchaber, A.3
  • 241
    • 60449120705 scopus 로고    scopus 로고
    • Prandtl-, Rayleigh-, and Rossby-number dependence of heat transport in turbulent rotating Rayleigh-Bénard convection
    • 10.1103/PhysRevLett.102.044502
    • Zhong, J. Q., R. J. A. M. Stevens, H. J. H. Clercx, R. Verzicco, D. Lohse, and G. Ahlers, 2009, " Prandtl-, Rayleigh-, and Rossby-number dependence of heat transport in turbulent rotating Rayleigh-Bénard convection, " Phys. Rev. Lett. 102, 044502. 10.1103/PhysRevLett.102.044502
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 044502
    • Zhong, J.Q.1    Stevens, R.J.A.M.2    Clercx, H.J.H.3    Verzicco, R.4    Lohse, D.5    Ahlers, G.6
  • 242
    • 34548819968 scopus 로고    scopus 로고
    • Measured oscillations of the velocity and temperature fields in turbulent Rayleigh-Bénard convection in a rectangular cell
    • 10.1103/PhysRevE.76.036301
    • Zhou, S.-Q., C. Sun, and K.-Q. Xia, 2007a, " Measured oscillations of the velocity and temperature fields in turbulent Rayleigh-Bénard convection in a rectangular cell, " Phys. Rev. E 76, 036301. 10.1103/PhysRevE.76.036301
    • (2007) Phys. Rev. e , vol.76 , pp. 036301
    • Zhou, S.-Q.1    Sun, C.2    Xia, K.-Q.3
  • 243
    • 33847073414 scopus 로고    scopus 로고
    • Morphological evolution of thermal plumes in turbulent Rayleigh-Bénard convection
    • 10.1103/PhysRevLett.98.074501
    • Zhou, Q., C. Sun, and K.-Q. Xia, 2007b, " Morphological evolution of thermal plumes in turbulent Rayleigh-Bénard convection, " Phys. Rev. Lett. 98, 074501. 10.1103/PhysRevLett.98.074501
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 074501
    • Zhou, Q.1    Sun, C.2    Xia, K.-Q.3
  • 244
    • 40349089619 scopus 로고    scopus 로고
    • Experimental investigations of homogeneity, isotropy, and circulation of the velocity field in buoyancy-driven turbulence
    • Zhou, Q., C. Sun, and K. Q. Xia, 2008, " Experimental investigations of homogeneity, isotropy, and circulation of the velocity field in buoyancy-driven turbulence, " J. Fluid Mech. 598, 361-372.
    • (2008) J. Fluid Mech. , vol.598 , pp. 361-372
    • Zhou, Q.1    Sun, C.2    Xia, K.Q.3
  • 246
    • 0037191479 scopus 로고    scopus 로고
    • Plume statistics in thermal turbulence: Mixing of an active scalar
    • 10.1103/PhysRevLett.89.184502
    • Zhou, S. Q., and K.-Q. Xia, 2002, " Plume statistics in thermal turbulence: Mixing of an active scalar, " Phys. Rev. Lett. 89, 184502. 10.1103/PhysRevLett.89.184502
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 184502
    • Zhou, S.Q.1    Xia, K.-Q.2
  • 247
    • 0001438125 scopus 로고
    • Coherent structures in turbulent convection: An experimental study
    • Zocchi, G., E. Moses, and A. Libchaber, 1990, " Coherent structures in turbulent convection: An experimental study, " Physica A 166, 387-407.
    • (1990) Physica A , vol.166 , pp. 387-407
    • Zocchi, G.1    Moses, E.2    Libchaber, A.3


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