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Velocities and concentrations in oscillatory flow over beds of sediment

Published online by Cambridge University Press:  26 April 2006

J. E. Dick
Affiliation:
Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK
J. F. A. Sleath
Affiliation:
Department of Engineering, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, UK

Abstract

Measurements are reported of the velocity and concentration distributions both within and above two beds of sediment in oscillatory flow. The experiments were carried out in an oscillatory flow water tunnel, the velocities were measured with a laser-Doppler anemometer and the concentrations of sediment with resistance probes operating through the sidewall of the tunnel. The sediments studied consisted of nylon granules of median diameter 4.0 mm and Perspex of median diameter 0.7 mm. Most of the beds were plane for the tests with the 0.7 mm sediment and rippled for those with the 4 mm sediment.

The measured velocity profile could be divided into three regions: a central region in which the amplitude and phase of the velocity increased almost linearly with height and two outer regions in which the variation in velocity with height was much less rapid. It is suggested that at very high sediment transport rates the central region covers almost the entire depth of the moving bed but that at lower transport rates the outer regions are more significant.

The effect of sediment movement on the velocity distribution above the bed is very marked. Bed roughness length is increased and the velocity amplitude falls off more slowly with height than for fixed beds under similar conditions.

Within the bed the shear stress increases almost linearly with depth. Apparent viscosity also increases steadily with depth below the surface of the bed.

The measurements of concentrations are in good agreement with the results of other investigators in the region above the moving bed. Within the bed the time-mean concentration rises steadily, with distance below the initial bed surface, towards the limiting value for a stationary bed. The concentration record also shows a fluctuation during the course of the cycle at twice the frequency of the fundamental oscillation. The amplitude of this fluctuation in concentration decreases with depth below the initial bed level. The phase variation with height is close to that of zero velocity gradient, within the moving bed.

Type
Research Article
Copyright
© 1991 Cambridge University Press

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References

Abou-Seida, M. M. 1965 Bed load function due to wave action. Hydraul. Engng Lab. Rep. HEL 2–11, University of California, Berkeley, 78 pp.
Ahilan, R. V. 1985 Flow of cohesionless grains in oscillatory fluids. PhD thesis, University of Cambridge, 191 pp.
Ahilan, R. V. & Sleath, J. F. A. 1987 Sediment transport in oscillatory flow over flat beds. J. Hydraul. Div. ASCE 113 (3), 308322.Google Scholar
Bagnold, R. A. 1954 Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear.. Proc. R. Soc. Lond. A 225, 4963.Google Scholar
Bakker, W. T., Van Kesteren, W. G. M. & Klomp, W. H. G. 1990 Grain—fluid interaction in Couette flow In Proc. 22nd Intl Conf. Coastal Engng. Delft, pp. 26962709.
Chua, S. K., Cleaver, J. W. & Millward, A. 1986 The measurement of salt concentration in a plume using a conductivity probe. J. Hydraul. Res. 25 (3), 171178.Google Scholar
Dick, J. E. 1989 Sediment transport in oscillatory flow. PhD thesis, University of Cambridge, 169 pp.
Dingler, J. R. & Inman, D. L. 1976 Wave formed ripples in nearshore sands In Proc. 15th Conf. Coastal Engng, pp. 21092126.
Durao, D. F. G., Adrian, R. J., Durst, F., Mishina, H. & Whitelaw, J. H. (eds) 1982 International Symposium on Applications of Laser-Doppler Anemometry to Fluid Mechanics. Lisbon.
Du Toit, C. G. & Sleath, J. F. A. 1981 Velocity measurements close to rippled beds in oscillatory flow. J. Fluid Mech. 112, 7196.Google Scholar
Gibson, C. H. & Schwarz, W. H. 1963 Detection of conductivity fluctuations in a turbulent flow field. J. Fluid Mech. 16, 357364.Google Scholar
Grant, W. D. & Madsen, O. S. 1982 Moveable bed roughness in unsteady oscillatory flow. J. Geophys. Res. 87 (C1), 469481.Google Scholar
Hanes, D. M. & Inman, D. L. 1985 Observations of rapidly flowing granular-fluid materials. J. Fluid Mech. 150, 357380.Google Scholar
Homma, M., Horikawa, K. & Kajima, R. 1965 A study on suspended sediment due to wave action. Coastal Engng Japan 8, 85103.Google Scholar
Horikawa, K., Watanabe, A. & Katori, S. 1982 Sediment transport under sheet flow conditions. Proc. 18th Conf. Coastal Engng, vol. 2, pp. 13351352.
Jonsson, I. G. 1963 Measurements in the turbulent wave boundary layer. Proc. 10th IAHR Congress, London, pp. 8592.
Kalkanis, G. 1964 Transportation of bed material due to wave action. Tech. Memo. 2, US Army Corps of Engineers, Coastal Engng Res. Center.
Kamphuis, J. W. 1975 Friction factors under oscillatory waves. J. Waterways, Port, Coastal and Ocean Engng Div. ASCE 101 (WW2), 135144.Google Scholar
Kemp, P. H. & Simons, R. R. 1982 The interaction between waves and a turbulent current: waves propagating with the current. J. Fluid Mech. 116, 227250.Google Scholar
Kemp, P. H. & Simons, R. R. 1983 The interaction of waves and a turbulent current: waves propagating against the current. J. Fluid Mech. 130, 7389.Google Scholar
Krumbein, W. C. & Monk, G. D. 1942 Permeability as a function of the size parameters of unconsolidated sand. Am. Inst. of Mining and Met. Engng Tech. Pub. 1492.
Landauer, R. 1952 The electrical resistance of binary metallic mixtures. J. Appl. Phys. 23 (7), 779784.Google Scholar
Manohar, M. 1955 Mechanics of bottom sediment movement due to wave action. Tech. Memo. 75, US Army Corps of Engineers, Beach Erosion Board.
Nielsen, P. 1984 On the motion of suspended sand particles. J. Geophys. Res. 89 (C1), 616626.Google Scholar
Nielsen, P. 1986 Suspended sediment concentrations under waves. Coastal Engng 10, 2331.Google Scholar
Savage, S. B. & McKeown, S. 1983 Shear stresses developed during rapid shear of concentrated suspensions of large spherical particles between concentric cylinders. J. Fluid Mech. 127, 453472.Google Scholar
Sawamoto, M. & Yamashita, T. 1986 Sediment transport rate due to wave action. J. Hydrosci. Hydraul. Engng 4 (1), 115.Google Scholar
Sleath, J. F. A. 1978 Measurements of bed load in oscillatory flow. J. Waterways, Port, Coastal and Ocean Div. ASCE 104 (WW3), 291307.Google Scholar
Sleath, J. F. A. 1982 The effect of jet formation on the velocity distribution in oscillatory flow over flat beds of sand or gravel. Coastal Engng 6, 151177.Google Scholar
Sleath, J. F. A. 1987 Turbulent oscillatory flow over rough beds. J. Fluid Mech. 182, 369409.Google Scholar
Smith, J. D. & McLean, S. R. 1977 Boundary layer adjustments to bottom topography and suspended sediment. In Bottom Turbulence (ed. J. C. J. Nihoul), pp. 123151. Elsevier.
Stokes, G. G. 1851 On the effect of the internal friction of fluids on the motion of pendulums. Trans. Camb. Phil. Soc. 9, 2021.Google Scholar
Wilson, K. C. 1989 Friction of wave-induced sheet flow. Coastal Engng 12, 371379.Google Scholar