Hostname: page-component-7dd5485656-frp75 Total loading time: 0 Render date: 2025-10-31T07:40:59.403Z Has data issue: false hasContentIssue false
  • English
  • Français

Convection in a box: on the dependence of preferred wave-number upon the Rayleigh number at finite amplitude

Published online by Cambridge University Press:  28 March 2006

Stephen H. Davis
Stephen H. Davis
Affiliation:
Department of Mathematics, Imperial College, London
Get access Rights & Permissions [Opens in a new window]

Abstract

Using Stuart's shape assumption and a condition of maximum heat transport it is found that the preferred number of finite roll cells present in Bénard convection in a three-dimensional rectangular box tends to decrease with increasing supercritical Rayleigh number in contradiction to the behaviour in an infinite layer but in accordance with experimental observation.

This ‘end effect’ might explain the similar observation of wave-number decrease in the Taylor instability between rotating cylinders.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 32 , Issue 3 , 24 May 1968 , pp. 619 - 624
Copyright
© 1968 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Coles, D. 1965 J. Fluid. Mech. 21, 3.
Davey, A. 1962 J. Fluid Mech. 14, 3.
Davis, S. H. 1967 J. Fluid Mech. 30, 465.
Koschmieder, E. L. 1966 Beitr. Phys. Atmos. 39, 1.
Krishnamurti, R. 1967 Doctoral dissertation, Institute of Geophysics and Planetary Physics, U.C.L.A., Los Angeles, California.
SCHLÜTER, A., Lortz, D. & Busse, F. 1965 J. Fluid Mech. 23, 1.
Stuart, J. T. 1958 J. Fluid Mech. 4, 1.