Two-dimensional numerical analysis of the Poiseuille–Be´nard flow in a rectangular channel heated from below
作者:
X. Nicolas,
A. Mojtabi,
J. K. Platten,
期刊:
Physics of Fluids
(AIP Available online 1997)
卷期:
Volume 9,
issue 2
页码: 337-348
ISSN:1070-6631
年代: 1997
DOI:10.1063/1.869235
出版商: AIP
数据来源: AIP
摘要:
The Poiseuille–Be´nard flow (PBF) is studied by a two-dimensional numerical simulation for a Prandtl number equal to 6.4 (that of water at 23 °C) and for a wide range of Rayleigh (Ra) and Reynolds (Re) numbers: Ra⩽6000 and Re⩽3. The two observed flow configurations are (1) thermally stratified Poiseuille flow and (2) thermoconvective transversal rolls superimposed to the basic Poiseuille flow. The time evolution of the velocity components, the spatial development of the transversal rolls, their frequency, wavelength and velocity, the Nusselt number, together with the stability map in the Ra–Re plane, are studied in detail. Whenever possible, quantitative comparisons are made with published results: most of the experimental data, based on laser-Doppler anemometry (LDA), are recovered with amazing accuracy; a good agreement with results of convective stability deduced from a weakly nonlinear Ginzburg–Landau theory is also obtained. ©1997 American Institute of Physics.
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