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VOLUME 86, NUMBER 15 P H Y S I C A L R E V I E W L E T T E R S 9 APRIL 2001 Prandtl-Number Dependence of Heat Transport in Turbulent Rayleigh-Bnard Convection
 

Summary: VOLUME 86, NUMBER 15 P H Y S I C A L R E V I E W L E T T E R S 9 APRIL 2001
Prandtl-Number Dependence of Heat Transport in Turbulent Rayleigh-Bénard Convection
Guenter Ahlers and Xiaochao Xu
Department of Physics and iQUEST, University of California, Santa Barbara, California 93106
(Received 13 November 2000)
We present measurements of the Nusselt number N as a function of the Rayleigh number R and the
Prandtl number s in cylindrical cells with aspect ratios G 0.5 and 1.0. We used acetone, methanol,
ethanol, and 2-propanol with Prandtl numbers s 4.0, 6.5, 14.2, and 34.1, respectively, in the range
3 3 107
& R & 1011
. At constant R, N R, s varies with s by only about 2%. This result disagrees
with the extrapolation of the Grossmann and Lohse theory beyond its range of validity, which implies a
decrease by 20% over our s range, but agrees with their recent extension of the theory to small Reynolds
numbers.
DOI: 10.1103/PhysRevLett.86.3320 PACS numbers: 47.27.Te, 44.25.+f
During the last decade or two a great deal of effort has
been devoted to the study of turbulent convection of fluids
heated from below [1­4]. One of the central issues has
been the global heat transport of the system, as expressed
by the Nusselt number

  

Source: Ahlers, Guenter - Department of Physics, University of California at Santa Barbara

 

Collections: Physics