Oscillating flow over steep sand ripples

Journal of Fluid Mechanics

Volumn 107, Issue WW3, 1981, Pages 1-35

  Longuet Higgins, Michael S ^a,b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b NATIONAL OCEANOGRAPHY CENTRE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DRAG COEFFICIENTS; FLUID MOTION; OSCILLATING FLOW; VORTEX DRAG; VORTEX RIPPLES;

FLOW OF FLUIDS - VORTEX FLOW; SAND AND GRAVEL;

OSCILLATING FLOW; SAND RIPPLES;

FLOW OF WATER;

HIGGINS, M.S. LONGUET;

EID: 0019384107     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112081001651     Document Type: Article

References (28)

1. Abramowitz, M. & Stegun, I. A. 1965 Handbook of Mathematical Functions. Dover.
2. Aref, H. 1979 Motion of three vortices. Phys. Fluids 22, 393–400.
3. Ayrton, H. 1910 The origin and growth of ripple-mark. Proc. Roy. Soc. A 84, 285–310.
4. Bagnold, R. A. 1946 Motion of waves in shallow water. Interaction between waves and sand bottoms. Proc. Roy. Soc. A 187, 1–15.
5. Bearman, P. W., Graham, J. M. R. & Singh, S. 1979 Forces on cylinders in harmonically oscillating flow. In Mechanisms of Wave Induced Forces on Cylinders (ed. J. H. Shaw). Pitman.
6. Bijker, E. W., van Hijum, E. & Vellinga, P. 1976 Sand transport by waves. Proc. 15th Conf. on Coastal Engng, Hawaii, pp. 1149–1167.
7. Carstens, M. R., Nielson, F. M. & Altinbilek, H. D. 1969 Bed forms generated in the laboratory under oscillatory flow. Coastal Engng Res. Center, Fort Belvoir, Va., Tech. Mem. no. 28.
8. Clements, R. R. 1973 An inviscid model of two-dimensional vortex shedding. J. Fluid Mech. 57, 321–336.
9. Clements, R. R. & Maull, D. J. 1975 The representation of sheets of vorticity by discrete vortices. Progr. Aerospace Sci. 16, 129–146.
10. Graham, J. M. R. 1980 The forces on sharp-edged cylinders in oscillatory flow at low Keulegan-Carpenter numbers. J. Fluid Mech. 97, 331–346.
11. Inman, D. L. 1957 Wave-generated ripples in nearshore sands. Beach Erosion Board, Washington, Tech. Mem. no. 100.
12. Kajiura, K. 1968 A model of the bottom boundary layer in water waves. Bull. Earthquake Res. Inst., Univ. of Tokyo 46, 75–123.
13. Kalkanis, G. 1964 Transport of bed material due to wave action. Coastal Engng Res. Center, Fort Belvoir, Va., Tech. Mem. no. 2.
14. Kiya, M. & Arie, M. 1977 A contribution to an inviscid vortex shedding model for an inclined flat plate in uniform flow. J. Fluid Mech. 82, 223–240.
15. Lamb, H. 1932 Hydrodynamics, 6th edn. Cambridge University Press.
16. Lofquist, K. E. B. 1978 Sand ripple growth in an oscillatory-flow water tunnel. Coastal Engng Res. Center, Fort Belvoir, Va., Tech. Paper no. 78-5.
17. Lofquist, K. E. B. 1980 Observations of drag on naturally rippled sand beds under oscillatory flows. Proc. 17th Conf. on Coastal Engng, Sydney, Australia (in press).
18. Longuet-Higgins, M. S. 1973 On the form of the highest progressive and standing waves in deep water. Proc. Roy. Soc. A 331, 445–465.
19. Mogridge, G. R. & Kamphuis, J. W. 1972 Experiments on bed form generation by wave action. Proc. 13th Conf. on Coastal Engng, Vancouver, B.C., pp. 1123–1142.
20. Nehari, L. 1952 Conformal Mapping. McGraw-Hill.
21. Nielsen, P. 1979 Some basic concepts of wave sediment transport. Inst. of Hydraulics and Hydraulic Engng, Tech. Univ. of Denmark, Lyngby, Series Paper no. 20.
22. Prandtl, L. & Tietjens, O. G. 1934 Fundamentals of Hydro and Aeromechanics (translated by L. Rosenhead). Dover.
23. Ramsey, A. S. 1942 Hydromechanics. Part II. Hydrodynamics. Cambridge University Press.
24. Saffman, P. G. & Baker, G. R. 1979 Vortex interactions. Ann. Rev. Fluid Mech. 11, 95–122.
25. Sleath, J. F. A. 1975 A contribution to the study of vortex ripples. J. Hydraulic Res. 13, 315–328.
26. Stansby, P. K. 1977 An inviscid model of vortex shedding from a circular cylinder in steady and oscillatory far flows. Proc. Inst. Civil Eng. 63, 865–880.
27. Tunstall, E. B. & Inman, D. L. 1974 Vortex generation of oscillatory flows over rippled surfaces. J. Geophys. Res. 80, 3475–3484.
28. Vitale, P. 1979 Sand bed friction factors for oscillatory flows. Proc. A.S.C.E. 105 (), 229–245.