Thermal convection for large Prandtl numbers.

@article{Grossmann2001ThermalCF,
  title={Thermal convection for large Prandtl numbers.},
  author={S. K. Grossmann and Detlef Lohse},
  journal={Physical review letters},
  year={2001},
  volume={86 15},
  pages={3316-9}
}
The Rayleigh-Bénard theory by Grossmann and Lohse [J. Fluid Mech. 407, 27 (2000)] is extended towards very large Prandtl numbers Pr. The Nusselt number Nu is found here to be independent of Pr. However, for fixed Rayleigh numbers Ra a maximum in the Nu(Pr) dependence is predicted. We moreover offer the full functional dependences of Nu(Ra,Pr) and Re(Ra,Pr) within this extended theory, rather than only give the limiting power laws as done in J. Fluid. Mech. 407, 27 (2000). This enables us to… CONTINUE READING
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