Thermal convection for large Prandtl numbers.

  title={Thermal convection for large Prandtl numbers.},
  author={S. K. Grossmann and Detlef Lohse},
  journal={Physical review letters},
  volume={86 15},
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
Highly Influential
This paper has highly influenced 11 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS

From This Paper

Figures, tables, and topics from this paper.


Publications citing this paper.
Showing 1-10 of 41 extracted citations


Publications referenced by this paper.
Showing 1-10 of 10 references

following Letter

G. Ahlers, X. Xu
Phys. Rev. Lett. 86, 3320 • 2001
View 12 Excerpts
Highly Influenced


S. Grossmann, D. Lohse, J. Fluid Mech
27 • 2000
View 10 Excerpts
Highly Influenced

Nature (London) 404

J. Niemela, L. Skrebek, K. R. Sreenivasan, R. Donelly
837 • 2000
View 7 Excerpts
Highly Influenced


S. Cioni, S. Ciliberto, J. Sommeria, J. Fluid Mech
111 • 1997
View 4 Excerpts
Highly Influenced


G. O. Roberts
Astrophys. Fluid Dyn. 12, 235 • 1979
View 4 Excerpts
Highly Influenced


R. Verzicco, R. Camussi, J. Fluid Mech
55 • 1999
View 4 Excerpts
Highly Influenced


E. D. Siggia
Rev. Fluid Mech. 26, 137 • 1994
View 4 Excerpts
Highly Influenced


R. Kerr, J. Herring, J. Fluid Mech
325 • 2000
View 3 Excerpts


G. Ahlers
Rev. E 63, 015303 • 2000

Numerical Recipes (Cambridge

W. Press
View 2 Excerpts

Similar Papers

Loading similar papers…