On geometry effects in Rayleigh-Benard convection


Grossmann, Siegfried and Lohse, Detlef (2003) On geometry effects in Rayleigh-Benard convection. Journal of Fluid Mechanics, 486 . pp. 105-114. ISSN 0022-1120

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Abstract:Various recent experiments hint at a geometry dependence of scaling relations in Rayleigh–Bénard convection. Aspect ratio and shape dependences have been found. In this paper a mechanism is suggested which can account for such dependences, based on Prandtl's theory for laminar boundary layers and on the conservation of volume flux of the large-scale wind. The mechanism implies the possibility of different thicknesses of the kinetic boundary layers at the sidewalls and at the top/bottom plates, as found experimentally, and also different Ra-scaling of the wind over the plates and at the sidewalls. A scaling argument for the velocity and temperature fluctuations in the bulk is also developed.
Item Type:Article
Copyright:© 2003 Cambridge University Press
Science and Technology (TNW)
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Link to this item:http://purl.utwente.nl/publications/40522
Official URL:https://doi.org/10.1017/S0022112003004270
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