HEAT-TRANSPORT IN HIGH-RAYLEIGH-NUMBER CONVECTION

被引：416
|
作者：
SHRAIMAN, BI [1 ]
SIGGIA, ED [1 ]
机构：
[1] CORNELL UNIV, ATOM & SOLID STATE PHYS LAB, ITHACA, NY 14853 USA
来源：
PHYSICAL REVIEW A | 1990年 / 42卷 / 06期
关键词：
D O I：
10.1103/PhysRevA.42.3650
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The heat flux (Nusselt number) as a function of Rayleigh number, NNu0.3NRa2/7, is deduced from the presence of a mean flow and the nesting of the thermal boundary layer within the viscous one. The numerical coefficients are obtained from those known empirically for turbulent boundary layers. The consistency of our assumptions as a function of Prandtl number limits this regime to (107108)NPr5/3NRa (10131015)NPr4. The Bolgiano-Obukhov k-7/5 spectrum for the temperature fluctuations is inconsistent with a simple scaling treatment of the equations. © 1990 The American Physical Society.
引用
收藏
页码：3650 / 3653
页数：4
相关论文
共 50 条
  • [11] Prandtl-number Effects in High-Rayleigh-number Spherical Convection
    Orvedahl, Ryan J.
    Calkins, Michael A.
    Featherstone, Nicholas A.
    Hindman, Bradley W.
    ASTROPHYSICAL JOURNAL, 2018, 856 (01):
  • [12] Experimental study of high-Rayleigh-number convection in mercury and water
    Cioni, S
    Ciliberto, S
    Sommeria, J
    DYNAMICS OF ATMOSPHERES AND OCEANS, 1996, 24 (1-4) : 117 - 127
  • [13] High-Rayleigh-number convection of a reactive solute in a porous medium
    Ward, T. J.
    Jensen, O. E.
    Power, H.
    Riley, D. S.
    JOURNAL OF FLUID MECHANICS, 2014, 760 : 95 - 126
  • [14] High-Rayleigh-number turbulent natural convection on an inclined surface
    Zaichik, LI
    Alipchenkov, VM
    HIGH TEMPERATURE, 2000, 38 (03) : 421 - 427
  • [15] High-Rayleigh-number convection of pressurized gases in a horizontal enclosure
    Fleischer, AS
    Goldstein, RJ
    JOURNAL OF FLUID MECHANICS, 2002, 469 : 1 - 12
  • [16] High-Rayleigh-number turbulent natural convection on an inclined surface
    L. I. Zaichik
    V. M. Alipchenkov
    High Temperature, 2000, 38 : 421 - 427
  • [17] The multifractal nature of plume structure in high-Rayleigh-number convection
    Puthenveettil, BA
    Ananthakrishna, G
    Arakeri, JH
    JOURNAL OF FLUID MECHANICS, 2005, 526 : 245 - 256
  • [18] High-Rayleigh-number convection in porous-fluid layers
    Le Reun, Thomas
    Hewitt, Duncan R.
    JOURNAL OF FLUID MECHANICS, 2021, 920
  • [19] Prandtl and Rayleigh number dependence of heat transport in high Rayleigh number thermal convection
    Stevens, Richard J. A. M.
    Lohse, Detlef
    Verzicco, Roberto
    JOURNAL OF FLUID MECHANICS, 2011, 688 : 31 - 43
  • [20] Fluid flow and heat transfer of high-Rayleigh-number natural convection around heated spheres
    Kitamura, K.
    Mitsuishi, A.
    Suzuki, T.
    Misumi, T.
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2015, 86 : 149 - 157
12345