Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-12-01T12:52:19.791Z Has data issue: false hasContentIssue false
  • English
  • Français

Effect of modulation on the onset of thermal convection

Published online by Cambridge University Press:  28 March 2006

Giulio Venezian
Giulio Venezian
Affiliation:
California Institute of Technology, Pasadena, California 91109 Present address: University of Hawaii, Honolulu, Hawaii 96822.
Get access Rights & Permissions [Opens in a new window]

Abstract

The stability of a horizontal layer of fluid heated from below is examined when, in addition to a steady temperature difference between the walls of the layer, a time-dependent sinusoidal perturbation is applied to the wall temperatures. Only infinitesimal disturbances are considered. The effects of the oscillating temperature field are treated by a perturbation expansion in powers of the amplitude of the applied field. The shift in the critical Rayleigh number is calculated as a function of frequency, and it is found that it is possible to advance or delay the onset of convection by time modulation of the wall temperatures.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 35 , Issue 2 , 16 January 1969 , pp. 243 - 254
Copyright
© 1969 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

Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
Donnelly, R. J. 1964 Proc. Roy. Soc. A, 281, 130.
Ingersoll, A. 1966 Phys. Fluids, 9, 682.
Krishnamurti, R. E. 1967 Ph.D. Dissertation, University of California. Los Angeles.
Malkus, W. V. R. & Veronis, G. 1958 J. Fluid Mech. 4, 225.
Schlüter, A., Lortz, D. & Busse, F. 1965 J. Fluid Mech. 23, 129.
Veronis, G. 1963 Astrophys. J. 137, 641.