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The suppression of wind-generated waves by a surface film

  • J. C. Gottifredi (a1) and G. J. Jameson (a1)


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.



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Aitken, J. 1882 On the effect of oil on a stormy sea Proc. Roy. Soc. Edin. 12, 56.
Bede, the VENERABLE A. D. 731 Ecclesiastical History. Book (iii), Chapter 15.
Benjamin, T. B. 1959 Shearing flow over a wavy boundary J. Fluid Mech. 6, 161.
Davies, J. T. & Rideal, E. K. 1961 Interfacial Phenomena. London: Academic Press.
Davies, J. T. & Vose, R. M. 1965 On the damping of capillary waves by surface films. Proc. Boy. Soc. A 286, 218.
Deissler, R. G. 1955 Analysis of turbulent heat transfer, mass transfer and friction in smooth tubes at high Prandtl and Schmidt numbers. N.A.C.A. Rept. 1210.
Dorrestein, R. 1951 General linearized theory of the effect of surface films on water ripples. Nederl. Akad. van Wetenschappen. Ser. B 54, 260, 350.
Fitzgerald, L. M. 1963 Wind-induced stresses on water surfaces; a wind tunnel study Aust. J. Phys. 16, 475.
Francis, J. R. D. 1954 Wind stress on a water surface Quart. J. R. Met. Soc. 80, 438.
Francis, J. R. D. 1967 Private communication.
Franklin, BENJAMIN 1774 Of the stilling of waves by means of oil Phil. Trans. 64, 445.
Goodrich, F. C. 1962 On the damping of waves by monomolecular films J. Phys. Chem. 66, 1858.
Keulegan, G. H. 1951 J. Res. Nat. Bur. Stand. 46, 358.
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
Levich, V. 1962 Physicochemical Hydrodynamics. New York: Prentice Hall.
Lucassen, J. & Hansen, R. S. 1966 Damping of waves on a monolayer-covered surface J. Colloid Sci. 22, 32.
Miles, J. W. 1962 On the generation of surface waves by shear flows. Part 4 J. Fluid Mech. 13, 433.
Miles, J. W. 1967a Surface wave damping in a closed basin. Proc. Roy. Soc. A 297, 459.
Miles, J. W. 1967b On the generation of surface waves by shear flows. Part 5. J. Fluid Mech. 30, 163.
Pliny, A. D. 77 Naturalis Historia. Book ii, Chapter 107, section 234.
Plutarch, A.D. 95 Moralia: Quaestiones Naturales Section 12.
Reynolds, O. 1880 On the effect of oil on destroying waves on the surface of water Br. Assoc. Rept.; Papers, 1, 409.
Shemdin, O. H. & Hsu, E. Y. 1967 Direct measurement of aerodynamic pressure above a simple progressive gravity wave J. Fluid Mech. 30, 403.
Van Dorn, W. G. 1953 Wind stress on an artificial pond J. Mar. Res. 12, 249.
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The suppression of wind-generated waves by a surface film

  • J. C. Gottifredi (a1) and G. J. Jameson (a1)


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