Flow Field Induced by Sea Waves over Brick‐Pattern Ripples
Publication: Journal of Hydraulic Engineering
Volume 118, Issue 9
Abstract
This paper examines the oscillatory flow induced by progressive gravity waves near a sea bottom covered with three‐dimensional ripples. Previous works on the subject, in which only two‐dimensional bottom waviness were considered, are thus extended. By assuming small values of the ratio ε between ripple amplitude and the thickness of the bottom boundary layer, the solution is given analytically by means of a perturbation approach. Arbitrary values of the ratio r between fluid displacement and ripple wavelength are considered. For vanishing values of r an asymptotic solution is also determined as an independent check for the previous one. Even though the solution can provide the flow field over arbitrary bottom topographies, detailed results are presented only for the profile of brick‐pattern ripples, which is characterized by transverse crests joined by longitudinal bridges. Finally, relevance of the results to understanding the mechanism of three‐dimensional ripple formation (brick‐pattern ripples, tile ripples) is discussed.
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References
1.
Allen, J. R. L. (1984). Developments in sedimentology. Elsevier, Amsterdam, the Netherlands.
2.
Bagnold, R. A. (1946). “Motion of waves in shallow water. Interaction of waves and sand bottom.” Proc. Roy. Soc. Ser. A., 187, 1–15.
3.
Blondeaux, P. (1986). “Sulla formazione dei ripples al fondo di un'onda di gravita.” XX Conv. di Idraulica e Costr. Idr., Libreria Progetto, Padova.
4.
Blondeaux, P. (1990). “Sand ripples under sea waves. Part one: Ripple formation.” J. Fluid Mech., 218, 1–17.
5.
Blondeaux, P., and Vittori, G. (1991). “Vorticity dynamics in an oscillatory flow over a rippled bed.” J. Fluid Mech., 226, 257–289.
6.
Hara, T., and Mei, C. C. (1990). “Oscillating flows over periodic ripples.” J. Fluid Mech., 211, 183–209.
7.
Kaneko, A., and Honji, H. (1979). “Double structures of steady streaming in the oscillatory visous flow over a wavy wall.” J. Fluid Mech., 93, 727–736.
8.
Lyne, W. H. (1971). “Unsteady viscous flow over a wavy wall,” J. Fluid Mech., 50, 33–48.
9.
Seminara, G., and Hall, P. (1976). “Centrifugal instability of a Stokes layer: Linear theory.” Proc. Roy. Soc. London, A350, 299–315.
10.
Sleath, J. F. A. (1976). “On rolling‐grain ripples.” J. Hydr. Res., 14(1), 69–81.
11.
Sleath, J. F. A. (1984). Sea bed mechanics. John Wiley and Sons, New York, N.Y.
12.
Vittori, G. (1989). “Non linear viscous oscillatory flow over a wavy wall.” J. Hydr. Res., 27(2), 267–280.
13.
Vittori, G. (1990). “Formazione ed evoluzione non lineare di ripples al fondo di onde di gravita,” Ph.D. thesis, Universitá di Genova, Genova, Italy.
14.
Vittori, G., and Blondeaux, P. (1988). “Sul trasporto solido al fondo di un'ondo di mare.” Riunione annuale M.P.I. 40% Fenomeni di trasporto solido. Dip. Imgegnena Civile ed Ambientale, Trento, (in Italian).
15.
Vittori, G., and Blondeaux, P. (1990). “Sand ripples under sea waves. Part two: Finite amplitude development.” J. Fluid Mech., 218, 18–33.
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Copyright © 1992 ASCE.
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Published online: Sep 1, 1992
Published in print: Sep 1992
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