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On the flux of heat through laminar wavy liquid layers

Published online by Cambridge University Press:  28 March 2006

Edward E. O'Brien
Edward E. O'Brien
Affiliation:
College of Engineering, State University of New York, Stony Brook, New York
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Abstract

Dynamically passive transfer of heat across a layer of liquid supporting a progressive, periodic surface wave is approached from a Lagrangian viewpoint. The model layer considered is the region between two constant pressure surfaces of a Gerstner wave and the thermal boundary conditions are that the average temperature of any surface particle remains constant and that there is horizontal homogeneity of the average temperature field.

It is shown that fluctuations in the temperature of any particle are negligibly small for ordinary liquids and a uniformly valid approximation to the average temperature of each particle is presented.

The extent to which the flux of heat through the layer is augmented is computed for typical cases and it is shown to be at most doubled. Indication is given of extensions of the method to other kinds of progressive waves and to situations in which the boundary conditions are unsteady and spatially inhomogeneous.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 28 , Issue 2 , 8 May 1967 , pp. 295 - 303
Copyright
© 1967 Cambridge University Press

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References

Lamb, H. 1945 Hydrodynamics. New York: Dover.
Mcadams, W. H. 1954 Heat Transmission. New York: McGraw-Hill.
O'Brien, E. E. 1965 State University of New York at Stony Brook, Stony Brook, New York, College of Engineering Rept. no. 28.Google Scholar
Nusselt, W. 1923 Z. Ver. deut. Ing. 67, 206.