Volume 58, Number 5, June 2002
|Page(s)||693 - 698|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 May 2002|
Prandtl and Rayleigh numbers dependences in Rayleigh-Bénard convection
Centre de Recherches sur les Très Basses
Températures associé à l'Université Joseph Fourier -
38042 Grenoble Cedex 9, France
2 Laboratoire de Physique de la Matière Condensée, Ecole Normale Supérieure 24 rue Lhomond, 75231 Paris Cedex 5, France
3 Ecole Normale Supérieure de Lyon - 46 allée d'Italie, 69364 Lyon Cedex 7, France
Accepted: 14 March 2002
Using low-temperature gaseous helium close to the critical point, we investigate the Prandtl-number dependence of the effective heat conductivity (Nusselt number) for a 1/2 aspect ratio Rayleigh-Bénard cell. Very weak dependence is observed in the range 0.7< Pr < 21; : the absolute value of the average logarithmic slope is smaller than 0.03. A bimodality of Nu, with 7% difference between the two sets of data, is observed, which could explain some discrepancies between precise previous experiments in this range.
PACS: 47.27.-i – Turbulent flows, convection, and heat transfer / 44.25.+f – Natural convection / 67.90.+z – Other topics in quantum fluids and solids; liquid and solid helium (restricted to new topics in section 67)
© EDP Sciences, 2002
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