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A temperature adjustment process in a Boussinesq fluid via a buoyancy-induced meridional circulation

Published online by Cambridge University Press:  29 March 2006

Takeo Sakurai
Affiliation:
Department of Aeronautical Engineering, Faculty of Engineering, Kyoto University, Japan
Takuya Matsuda
Affiliation:
Department of Aeronautical Engineering, Faculty of Engineering, Kyoto University, Japan

Abstract

The existence of a new time scale t = σ-¼(L2/kN)½, where σ, k, L and N are the Prandtl number, the thermometric conductivity, a typical length and the Brunt-Väisälä frequency, respectively, is clarified for a temperature adjustment process of a Boussinesq fluid in a circular cylinder.

Type
Research Article
Copyright
© 1972 Cambridge University Press

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References

Barcilon, V. & Pedlosky, J. 1967 J. Fluid Mech. 29, 609.
Greenspan, H. P. & Howard, L. N. 1963 J. Fluid Mech. 17, 385.
Veronis, G. 1970 Ann. Rev. Fluid Mech. vol. 2, p. 37. Annual Rev. Inc.
Walin, G. 1971 J. Fluid Mech. 48, 647.