THERMALLY DRIVEN FLOWS AT LOW PRANDTL NUMBERS - AN EXTENSION OF THE PRANDTL-BATCHELOR THEOREM

被引：2
|
作者：
BLYTHE, PA
LIAKOPOULOS, A
HARUTA, E
机构：
[1] Department of Mechanical Engineering and Mechanics, Packard Laboratory, Lehigh University, Bethlehem, PA 18015-3085
来源：
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 1995年 / 33卷 / 12期
基金：
美国国家航空航天局;
关键词：
D O I：
10.1016/0020-7225(95)00030-2
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
New results for the structure of closed eddies in thermally driven hows at low Prandtl numbers and high Grashof numbers are presented. The analysis provides an extension of the classical Prandtl-Batchelor theorem. Numerical calculations given here for laterally heated rectangular cavities are in excellent agreement with the extended theorem.
引用
收藏
页码：1699 / 1711
页数：13
相关论文
共 50 条
  • [1] Prandtl-Batchelor flows on an annulus
    Fei, Mingwen
    Gao, Chen
    Lin, Zhiwu
    Tao, Tao
    ADVANCES IN MATHEMATICS, 2024, 458
  • [2] Prandtl-Batchelor flows revisited
    van Wijngaarden, Leen
    FLUID DYNAMICS RESEARCH, 2007, 39 (1-3) : 267 - 278
  • [3] Prandtl-Batchelor Flows on a Disk
    Fei, Mingwen
    Gao, Chen
    Lin, Zhiwu
    Tao, Tao
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2023, 397 (03) : 1103 - 1161
  • [4] Prandtl-Batchelor theorem for flows with quasiperiodic time dependence
    Arbabi, Hassan
    Mezic, Igor
    JOURNAL OF FLUID MECHANICS, 2019, 862
  • [5] Prandtl-Batchelor Theory for Kolmogorov Flows
    Kim, Sun-Chul
    Okamoto, Hisashi
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2020, 89 (11)
  • [6] Extension of the Prandtl-Batchelor theorem to three-dimensional flows slowly varying in one direction
    Sandoval, M.
    Chernyshenko, S.
    JOURNAL OF FLUID MECHANICS, 2010, 654 : 351 - 361
  • [7] An extension of Prandtl-Batchelor theory and consequences for chaotic advection
    Mezic, I
    PHYSICS OF FLUIDS, 2002, 14 (09) : L61 - L64
  • [8] Steady Prandtl-Batchelor flows past a circular cylinder
    Hocking, G. C.
    ANZIAM JOURNAL, 2006, 48 : 165 - 177
  • [9] PRANDTL-BATCHELOR FLOW IN A CHANNEL
    GIANNAKIDIS, G
    PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1993, 5 (04): : 863 - 867
  • [10] Toward an asymptotic description of Prandtl-Batchelor flows with corners
    Vynnycky, M.
    PHYSICS OF FLUIDS, 2022, 34 (11)
12345