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Effect of modulation on the onset of thermal convection

Venezian, Giulio (1969) Effect of modulation on the onset of thermal convection. Journal of Fluid Mechanics, 35 (2). pp. 243-254. ISSN 0022-1120. doi:10.1017/S0022112069001091.

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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.

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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.
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Office of Naval ResearchUNSPECIFIED
Issue or Number:2
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Official Citation:Giulio Venezian (1969). Effect of modulation on the onset of thermal convection. Journal of Fluid Mechanics, 35, pp 243-254 doi:10.1017/S0022112069001091
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:34282
Deposited On:21 Sep 2012 19:37
Last Modified:09 Nov 2021 23:07

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