Infinite Prandtl number limit of Rayleigh-Benard convection

被引：56
|
作者：
Wang, XM [1 ]
机构：
[1] Fudan Univ, Shanghai 200433, Peoples R China
[2] Iowa State Univ, Ames, IA USA
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2004年 / 57卷 / 10期
关键词：
D O I：
10.1002/cpa.3047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We rigorously justify the infinite Prandtl number model of convection as the limit of the Boussinesq approximation to the Rayleigh-Benard convection as the Prandtl number approaches infinity. This is a singular limit problem involving an initial layer. (C) 2004 Wiley Periodicals, Inc.
引用
收藏
页码：1265 / 1282
页数：18
相关论文
共 50 条
  • [1] The initial layer problem and infinite Prandtl number limit of Rayleigh-Benard convection
    Shi, Jianguo
    Wang, Ke
    Wang, Shu
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2007, 5 (01) : 53 - 66
  • [2] Reversals in infinite-Prandtl-number Rayleigh-Benard convection
    Pandey, Ambrish
    Verma, Mahendra K.
    Barma, Mustansir
    PHYSICAL REVIEW E, 2018, 98 (02)
  • [3] Rayleigh-Benard convection at high Rayleigh number and infinite Prandtl number: Asymptotics and numerics
    Vynnycky, M.
    Masuda, Y.
    PHYSICS OF FLUIDS, 2013, 25 (11)
  • [4] Dynamic bifurcation theory of Rayleigh-Benard convection with infinite Prandtl number
    Park, Jungho
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2006, 6 (03): : 591 - 604
  • [5] Initial layer problem of the Boussinesq system for Rayleigh-Benard convection with infinite Prandtl number limit
    Fan, Xiaoting
    Wang, Shu
    Xu, Wen-Qing
    Liu, Mingshuo
    OPEN MATHEMATICS, 2018, 16 : 1145 - 1160
  • [6] Dynamo action in rapidly rotating Rayleigh-Benard convection at infinite Prandtl number
    Cattaneo, Fausto
    Hughes, David W.
    JOURNAL OF FLUID MECHANICS, 2017, 825 : 385 - 411
  • [7] A model for the emergence of thermal plumes in Rayleigh-Benard convection at infinite Prandtl number
    Lemery, C
    Ricard, Y
    Sommeria, J
    JOURNAL OF FLUID MECHANICS, 2000, 414 : 225 - 250
  • [8] Turbulent Rayleigh-Benard convection for a Prandtl number of 0.67
    Ahlers, Guenter
    Bodenschatz, Eberhard
    Funfschilling, Denis
    Hogg, James
    JOURNAL OF FLUID MECHANICS, 2009, 641 : 157 - 167
  • [9] Bounds on vertical heat transport for infinite-Prandtl-number Rayleigh-Benard convection
    Doering, Charles R.
    Otto, Felix
    Reznikoff, Maria G.
    JOURNAL OF FLUID MECHANICS, 2006, 560 : 229 - 241
  • [10] Influence of Prandtl number on strongly turbulent Rayleigh-Benard convection
    Cioni, S
    Ciliberto, S
    Sommeria, J
    ADVANCES IN TURBULENCES VI, 1996, 36 : 219 - 222
12345