Published January 1969
| Published
Journal Article
Open
Effect of modulation on the onset of thermal convection
- Creators
- Venezian, Giulio
Chicago
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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.
Additional Information
© 1969 Cambridge University Press. Received 21 February 1968. The author is grateful to Professors A. Ingersoll and W. V. R. Malkus for their This work was supported by the Office of Naval Research. valuable advice and interest in this study.Attached Files
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Additional details
- Eprint ID
- 34282
- Resolver ID
- CaltechAUTHORS:20120921-105023392
- Office of Naval Research
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2012-09-21Created from EPrint's datestamp field
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2021-11-09Created from EPrint's last_modified field