Hostname: page-component-77c89778f8-5wvtr Total loading time: 0 Render date: 2024-07-19T12:52:36.887Z Has data issue: false hasContentIssue false

Effects of horizontally two-dimensional bodies on the mass transport near the sea bottom

Published online by Cambridge University Press:  12 April 2006

Jacques Lamoure
Affiliation:
Laboratoire Régional CETE de Bordeaux, France
Chiang C. Mei
Affiliation:
Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge

Abstract

Mass transport close to the sea bottom is investigated for simple harmonic waves around a body with a small horizontal dimension. For gravity waves it is shown that the mass transport very near the bottom points towards a convex corner, but near the top of the boundary layer its direction reverses. Possible implications for silting near a pile and a harbour entrance are discussed and some experimental evidence given. For tides, the Coriolis force introduces a spiralling variation within the boundary layer, and possible inferences for coastline modification are drawn.

Type
Research Article
Copyright
© 1977 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Buchwald, V. T. 1971 The diffraction of tides by a narrow channel. J. Fluid Mech. 46, 501511.Google Scholar
Carter, T. G., Liu, P. L-F. & Mei, C. C. 1973 Mass transport by waves and offshore sand bedforms. J. Waterways, Harbors Coastal Engng, Div. A.S.C.E. 99, 165184.Google Scholar
Crighton, D. G. & Leppington, F. G. 1973 Singular perturbation methods in acoustics: diffraction by a plate of finite thickness. Proc. Roy. Soc. A 335, 313339.Google Scholar
Horikawa, K. & Watanabe, A. 1968 Laboratory study on oscillatory boundary layer flow. Proc. 12th Conf. Coastal Engng, vol. 1, pp. 467486.
Hunt, J. N. & Johns, B. 1963 Currents induced by tides and gravity waves. Tellus 15, 4.Google Scholar
Johnson, I. G. & Carlsen, N. A. 1976 Experimental and theoretical investigations in an oscillatory turbulent boundary layer. J. Hydraul. Res. 14, 4560.Google Scholar
Lamoure, J. 1976 Effects of topographical variations on mass transport in oscillatory flows. M.S. thesis, Dept. Civil Engineering, Massachusetts Institute of Technology.
Lau, J. & Travis, B. 1973 Slowly varying Stokes waves and submarine longshore bars. J. Geophys. Res. 78, 44894498.Google Scholar
Longuet-Higgins, M. S. 1953 Mass transport in water waves. Phil. Trans. Roy. Soc. A 245, 535581.Google Scholar
Longuet-Higgins, M. S. 1970 Steady currents induced by oscillations round islands. J. Fluid Mech. 42, 701720.Google Scholar
Mei, C. C. & Ünlüata, Ü. 1976 Resonant scattering by a harbor with two coupled basins. J. Engng Math. 10, 333353.Google Scholar
Moore, D. 1970 The mass transport velocity induced by force oscillations of a single frequency. Geophys. Fluid Dyn. 1, 237247.Google Scholar
Rayleigh, Lord 1883 On the circulation of air observed in Kundt's tubes, and some allied acoustical problems. Phil. Trans. Roy. Soc. 175, 121.Google Scholar
Veronis, G. 1966 Generation of mean ocean circulation by fluctuating winds. Tellus 18, 6676.Google Scholar