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The suppression of wind-generated waves by a surface film

Published online by Cambridge University Press:  28 March 2006

J. C. Gottifredi  and
G. J. Jameson
J. C. Gottifredi
Affiliation:
Department of Chemical Engineering and Chemical Technology, Imperial College, London, S.W. 7
G. J. Jameson
Affiliation:
Department of Chemical Engineering and Chemical Technology, Imperial College, London, S.W. 7
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Abstract

In the presence of a surface-active agent waves generated on the surface of a liquid by a wind may be stabilized. This problem is explored, and in particular the critical wind velocity is calculated for wave inception in the presence of such a film.

The dominant parameter associated with the surface layer is the surface elasticity χ the ‘inextensible film’ of Lamb is obtained as a limit as χ → ∞. Such a value is hypothetical as for real films χ is not large, being in the range 0 to 80 dyne/cm approximately. Nevertheless, we show that damping exceeding that of the inextensible film can be obtained for short wavelengths, and that the critical wind speed for capillary ripples can be increased by a factor of ten in the presence of a film of experimentally attainable characteristics.

The reason for the effectiveness of films of low χ is that the damping in the liquid is related to χ and the wavelength λ in such a way that for small λ, damping is a maximum for small χ.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 32 , Issue 3 , 24 May 1968 , pp. 609 - 618
Copyright
© 1968 Cambridge University Press

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