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Waves produced by a vertically oscillating plate

Published online by Cambridge University Press:  21 April 2006

L. M. Hocking
Affiliation:
Department of Mathematics, University College London, Gower Street, London WC1E 6BT, UK

Abstract

The vertical oscillation of a plate partially immersed in a non-wetting fluid produces a radiated wavetrain when the contact line between the plate and the free surface of the fluid cannot move freely along the plate. Realistic conditions to apply at the contact line when capillarity is not negligible include the dynamic variation of the contact angle and contact-angle hysteresis. Both of these effects are included in this paper and the amplitude of the radiated waves and the energy dissipation at the contact line are calculated.

Type
Research Article
Copyright
© 1987 Cambridge University Press

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References

Benjamin, T. B. & Scott, J. C. 1979 J. Fluid Mech. 92, 241.
Dussan V., E. B. 1979 Ann. Rev. Fluid Mech. 11, 371.
Dussan V., E. B. 1985 J. Fluid Mech. 151, 1.
Dussan V. E. B. & Chow, R. T.-P. 1983 J. Fluid Mech. 137, 1.
Dussan V. E. B. & Davis, S. H. 1986 J. Fluid Mech. 173, 115.
Evans, D. V. 1981 Ann. Rev. Fluid Mech. 13, 157.
Graham-Eagle, J. 1984 Gravity-capillary waves with edge constraints. D.Phil. thesis, University of Oxford.
Hocking, L. M. 1987 J. Fluid Mech. 179, 253.
Hogan, S. J. 1979 J. Fluid Mech. 91, 167.
Vanden-Broeck, J.-M. 1983 J. Fluid Mech. 139, 97.
Wehausen, J. V. 1971 Ann. Rev. Fluid Mech. 3, 237.
Young, G. W. & Davis, S. H. 1987 J. Fluid Mech. 174, 187.