Mass transport in the boundary layer at a free oscillating surface

Author:

Longuet-Higgins M. S.

Abstract

In a previous paper (1953b) it was shown theoretically that just below the boundary layer at the surface of a free wave the mass-transport gradient should be exactly twice that given by Stokes's irrotational theory. The present paper describes careful experiments which confirm the higher value of the gradient.The results have an implication for any oscillatory boundary layer at the free surface of a fluid; such a boundary layer must generate a second-order mean vorticity which diffuses inwards into the interior of the fluid.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference10 articles.

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3. Allen, J. & Gibson, D. H. 1959 Experiments on the displacement of water by waves of various heights and frequencies.Min. Proc. Instn Civ. Engrs,13,363–86.

4. Vincent, G. & Ruellan, F. 1957 Contribution à l'étude des mouvements solides provoqués per la houle sur un fond horizontal.Houille blanche, B,12,605–722.

5. Russell, R. C. H. & Osorio, J. D. C. 1958 An experimental investigation of drift profiles in a closed channel.Proc. 6th Conf. on Coastal Engan, Miami, 1957, pp.171–93. Council on Wave Res., University of California, Berkeley.

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