Prandtl-number dependence of heat transport in turbulent Rayleigh-Benard convection

Authors
Citation
G. Ahlers et Xc. Xu, Prandtl-number dependence of heat transport in turbulent Rayleigh-Benard convection, PHYS REV L, 86(15), 2001, pp. 3320-3323
Citations number
16
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
86
Issue
15
Year of publication
2001
Pages
3320 - 3323
Database
ISI
SICI code
0031-9007(20010409)86:15<3320:PDOHTI>2.0.ZU;2-Q
Abstract
We present measurements of the Nusselt number N as a function of the Raylei gh number R and the Prandtl number a in cylindrical cells with aspect ratio s Gamma = 0.5 and 1.0. We used acetone, methanol, ethanol, and 2-propanol w ith Prandtl numbers sigma = 4.0, 6.5, 14.2, and 34.1, respectively, in the range 3 X 10(7) less than or similar to R less than or similar to 10(11). A t constant R, N(R, sigma) varies with sigma by only about 2%. This result d isagrees with the extrapolation of the Grossmann and Lohse theory beyond it s range of validity, which implies a decrease by 20% over our a range, but agrees with their recent extension of the theory to small Reynolds numbers.