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Mass transport around a horizontal cylinder beneath waves

Published online by Cambridge University Press:  20 April 2006

John R. Chaplin
John R. Chaplin
Affiliation:
Department of Civil Engineering, University of Liverpool
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Abstract

Around a horizontal cylinder submerged beneath waves with its axis parallel to the wave crests there exists, owing to streaming flow in the boundary layer, circulation with the same sense of rotation as that of the orbital motion in the waves. Experimental results, for conditions in which the effects of separation are not important, confirm theoretical predictions of the mass-transport velocity at the outer edge of the oscillatory boundary layer. Pressure measurements on the cylinder reveal a nonlinear component which is interpreted as a consequence of circulation induced by steady streaming.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 140 , March 1984 , pp. 175 - 187
Copyright
© 1984 Cambridge University Press

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References

Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Chaplin, J. R. 1981 On the irrotational flow around a horizontal cylinder in waves. Trans. ASME E: J. Appl. Mech. 48, 689–694.Google Scholar
Dean, W. R. 1948 On the reflexion of surface waves by a submerged circular cylinder. Proc. Camb. Phil. Soc. 44, 483–491.Google Scholar
Longuet-Higgins, M. S. 1953 Mass transport in water waves. Phil. Trans. R. Soc. Lond. A 245, 535–581.Google Scholar
Longuet-Higgins, M. S. 1960 Mass transport in the boundary layer at a free oscillating surface. J. Fluid Mech. 8, 293–306.Google Scholar
Longuet-Higgins, M. S. 1970 Steady currents induced by oscillations round islands. J. Fluid Mech. 42, 701–720.Google Scholar
Milne-Thomson, L. M. 1968 Theoretical Hydrodynamics, 4th edn. Macmillan.
Ogilvie, T. F. 1963 First and second order forces on a cylinder submerged under a free surface. J. Fluid Mech. 16, 451–472.Google Scholar
Riley, N. 1965 Oscillating viscous flows. Mathematika 12, 161–175.Google Scholar
Riley, N. 1971 Stirring of a viscous fluid. Z. angew. Math. Phys. 22, 645–653.Google Scholar
Riley, N. 1978 Circular oscillations of a cylinder in a viscous fluid. Z. angew. Math. Phys. 29, 439–449.Google Scholar
Schlichting, H. 1932 Berechnung ebener periodischer Grenzschichtströmungen. Phys. Z. 33, 327–335.Google Scholar
Stuart, J. T. 1966 Double boundary layers in oscillatory viscous flow. J. Fluid Mech. 24, 673–687.Google Scholar
Ursell, F. 1950 Surface waves in the presence of a submerged circular cylinder, I and II. Proc. Camb. Phil. Soc. 46, 141–158.Google Scholar