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The effects of gravity modulation on the stability of a heated fluid layer

Published online by Cambridge University Press:  29 March 2006

P. M. Gresho  and
R. L. Sani
P. M. Gresho
Affiliation:
Department of Chemistry and Chemical Engineering, University of Illinois
R. L. Sani
Affiliation:
Department of Chemistry and Chemical Engineering, University of Illinois
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Abstract

The stability of a horizontal layer of fluid heated from above or below is examined for the case of a time-dependent buoyancy force which is generated by shaking the fluid layer, thus causing a sinusoidal modulation of the gravitational field. A linearized stability analysis is performed to show that gravity modulation can significantly affect the stability limits of the system. In this analysis, much emphasis is placed on qualitative results obtained by an approximate solution, which permits a rather complete stability analysis. A useful mechanical analogy is developed by considering the effects of gravity modulation on a simple pendulum. Finally, some effects of finite amplitude flows are considered and discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 40 , Issue 4 , 9 March 1970 , pp. 783 - 806
Copyright
© 1970 Cambridge University Press

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