Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-29T21:38:19.755Z Has data issue: false hasContentIssue false

On the influence of Coriolis force on onset of thermal convection

Published online by Cambridge University Press:  28 March 2006

P. P. Niiler
Affiliation:
Division of Applied Mathematics, Brown University, Providence, Rhode Island Now at Department of Applied Physics, Harvard University, Cambridge, Massachusetts.
F. E. Bisshopp
Affiliation:
Division of Applied Mathematics, Brown University, Providence, Rhode Island

Abstract

The effect of Coriolis force on the onset of thermal convection in a shallow layer of viscous liquid is studied in the limit of rapid rotation of the layer. Existing results which apply when the fluid lies between free boundaries are extended to the case where the boundaries are rigid.

Type
Research Article
Copyright
© 1965 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.)

References

Benard, H. 1900 Review Gén. Sci. Pur. Appl. 12, 1261.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
Pellew, A. & Southwell, R. V. 1940 Proc. Roy. Soc. A, 176, 312.
Proudman, I. 1956 J. Fluid Mech. 1, 505.
Robinson, A. R. 1959 J. Fluid Mech. 6, 599.
Stewartson, K. 1957 J. Fluid Mech. 3, 17.
Veronis, G. 1959 J. Fluid Mech. 5, 401.