Prandtl and Rayleigh number dependence of the Reynolds number in turbulent thermal convection

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 1, 2002, Pages

  Grossmann, Siegfried ^a   Lohse, Detlef ^b  

^a PHILIPPS UNIVERSITY MARBURG   (Germany)

^b UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

BUOYANCY; CRYSTAL GROWTH; DIFFUSION; DISPERSIONS; FLUID DYNAMICS; FREQUENCIES; OSCILLATIONS; PRANDTL NUMBER;

BIOT NUMBERS; HYDROTHERMAL WAVES; RAYLEIGH NUMBERS; THERMAL BOUNDARY CONDITIONS;

BOUNDARY CONDITIONS;

EID: 37649026515     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.016305     Document Type: Article

References (22)

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11. The Navier-Stokes based approximate equations to describe laminar boundary layer flow near a plane surface of streamwise extension (Formula presented) were given first in 1904 by Ludwig Prandtl;see L. Prandtl, Verhandlungen des III. Int. Math. Kongr., Heidelberg 1904, (Teubner, Leipzig, 1905), p. 484;see also Ludwig Prandtl, Ges. Abhandlungen, edited by W. Tollmien et al. (Springer, Berlin, 1961), Vol. 2, p. 575. Since we consider aspect ratio (Formula presented), we can use the cell height L instead of the cell width (Formula presented). In 1908, in his thesis, Paul Richard Heinrich Blasius extended the laminar boundary layer theory to semi-infinite surfaces, (Formula presented);
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