Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-19T00:24:39.024Z Has data issue: false hasContentIssue false
  • English
  • Français

On the transition to turbulent convection. Part 1. The transition from two- to three-dimensional flow

Published online by Cambridge University Press:  29 March 2006

Ruby Krishnamurti
Ruby Krishnamurti
Affiliation:
Geophysical Fluid Dynamics Institute, Florida State University
Get access Rights & Permissions [Opens in a new window]

Abstract

In a horizontal convecting layer several distinct transitions occur before the flow becomes turbulent. These are studied experimentally for several Prandtl numbers from 1 to 104. Cell size plan form, transitions in plan form, transition to time-dependence, as well as the heat flux, are measured for Rayleigh numbers from 103 to 105. The second transition, occurring at around 12 times the critical Rayleigh number, is one from steady two-dimensional rolls to a steady regular cellular pattern. There is associated with this a discrete change of slope of the heat flux curve, coinciding with the second transition observed by Malkus. Transitions to time-dependence will be discussed in part 2.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 42 , Issue 2 , 22 June 1970 , pp. 295 - 307
Copyright
© 1970 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

Busse, F. H. 1962 Dissertation, University of Munich. (Translation from the German by S. H. Davis, the Rand Corporation, Santa Monica, California, 1966.)
Busse, F. H. 1968 J. Math. Phys. 46, 14.
Chen, M. M. & Whitehead, J. A. 1968 J. Fluid Mech. 31, 1.
Davis, S. H. 1967 J. Fluid Mech. 30, 46.
Elder, J. W. 1965 J. Fluid Mech. 23, 7.
Koschmieder, L. 1966 Beit. Z. Phys. Atmos. 39, 1.
Krishnamurti, R. 1967 Dissertation, University of California at Los Angeles.
Krishnamurti, R. 1968a J. Fluid Mech. 33, 44.
Krishnamurti, R. 1968b J. Fluid Mech. 33, 45.
Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics. Oxford: Pergamon.
Malkus, W. V. R. 1954a Proc. Roy. Soc. A 225, 185.
Malkus, W. V. R. 1954b Proc. Roy. Soc. A 225, 196.
Newell, A. C. & Whitehead, J. A. 1969 J. Fluid Mech. 38, 27.
Rossby, H. T. 1966 Dissertation, M.I.T.
Schlüter, A., Lortz, A. & Busse, F. 1965 J. Fluid Mech. 23, 12.
Segel, L. A. 1969 J. Fluid Mech. 38, 20.
Segel, L. A. & Stuart, J. T. 1962 J. Fluid Mech. 13, 28.
Willis, G. E. & Deardorff, J. W. 1967 Phys. Fluids, 10, 1861.