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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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References

Anand, J. N. & Karam, H. J. 1969 J. Colloid Interface Sci. 31, 196.
Bbnard, H. 1901 Ann. China. Phys. 23, 62.
Block, M. J. 1956 Nature, 178, 529.
Davidhazy, A. 1969 Photographic Sci. Engng, 13, 156.
Hershey, A. V. 1939 Phys. Rev. 56, 204.
Jeffreys, H. 1951 Quart. J. Mech. 4, 283.
Kayser, W. V. 1971 Ph.D. dissertation, University of Washington.
Levich, V. G. 1962 Physicochemical Hydrodynamics. Prentice Hall.
Lim, Y. C. 1971 Ph.D. dissertation, University of Washington.
Palmer, H. J. 1971 Ph.D. dissertation, University of Washington.
Pearson, J. R. A. 1958 J. Pluid Mech. 4, 489.
Scriven, L. E. & Sternling, C. V. 1964 J. Fluid Mech. 19, 321.
Spangenberg, W. B. & Roland, W. R. 1961 Phys. Fluids, 4, 743.
Volkovisky, V. 1939 Publ. Sci. Tech. du Minist. de l'Air, no. 151.