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Surface relief accompanying natural convection in liquid pools heated from below

Published online by Cambridge University Press:  29 March 2006

William V. Kayser  and
John C. Berg
William V. Kayser
Affiliation:
Department of Chemical Engineering, University of Washington, Seattle Present address: Distillation Research Laboratory, Rochester Institute of Technology, Rochester, New York 14623.
John C. Berg
Affiliation:
Department of Chemical Engineering, University of Washington, Seattle
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Abstract

Free-surface deformations accompanying natural convection in shallow liquid pools heated from below by a straight wire are studied. Two-dimensional flow ensues as density gradients are set up in the bulk liquid and surface tension gradients are set up in the interface. Surface profiles are measured experimentally using a reflecting schlieren technique. Profiles concave above the rising warm current are produced in the shallower pools and convex profiles in the deeper pools. The profile for intermediate depths is a hybrid with a shallow crest rising from a shallow trough. A mathematical model of the system is developed and yields numerical results in qualitative agreement with experiment. The import- ance of various fluid properties and system parameters on the surface profile is examined using further calculations based on the model.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 57 , Issue 4 , 6 March 1973 , pp. 739 - 752
Copyright
© 1973 Cambridge University Press

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