Turbulent Viscosity in Rough Oscillatory Flow
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 111, Issue 3
Abstract
In an earlier paper, a three‐layer model of an oscillatory rough turbulent layer was simplified to a two‐layer model. The model consisted of an overlap layer in which the turbulent viscosity varied linearly with height, and an outer layer in which the viscosity was constant. This paper improves the theory from the earlier paper: Turbulent viscosity is allowed to decrease linearly above the overlap layer until a certain height is reached, after which the viscosity is held constant. The viscosity everywhere is assumed time independent. The theory is compared with observations by other researchers. The agreement between theory and experiment is reasonably good. Also, a theoretical derivation of the wave friction factor is given, which for the larger excursion amplitudes agrees well with a previously established semi‐empirical friction factor formula.
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References
1.
Abramowitz, M., and Stegun, I. A., ed., Handbook of Mathematical Functions, The National Bureau of Standards, Washington, D.C., 1964, pp. 374–433.
2.
Bakker, W. T., “Sand Concentration in an Oscillatory Flow,” Proceedings of the 14th Conference on Coastal Engineering, Copenhagen, Denmark, Vol. 2, June, 1974, pp. 1129–1148.
3.
Brevik, I., “Oscillatory Rough Turbulent Boundary Layers,” Journal of the Waterway, Port, Coastal, and Ocean Division, ASCE, Vol. 107, No. WW3, Proc. Paper 16478, Aug., 1981, pp. 175–188.
4.
Doom, T. van, “Experimental Investigation of Near‐Bottom Velocities in Water Waves without and with a Current. Report on Investigations,” Delft Hydraulics Laboratory, M1423, Part 1, Delft, Holland, 1981.
5.
Doorn, T. van, and Godefroy, H. W. H. E., “Experimental Investigation of the Bottom Boundary Layer under Periodic Progressive Water Waves,” Delft Hydraulics Laboratory, M1362, Part 1, Delft, Holland, 1978.
6.
Fredsøe, J., “A Simple Model for the Wave Boundary Layer,” Progress Report No. 54, Institute of Hydrodynamics and Hydraulic Engineering, Technical University of Denmark, Aug., 1981, pp. 21–28.
7.
Horikawa, K., and Watanabe, A., “Laboratory Study on Oscillatory Boundary Layer Flow,” Proceedings of the 11th Conference on Coastal Engineering, London, England, Vol. 1, Sept., 1968, pp. 467–486.
8.
Johns, B., “The Form of the Velocity Profile in a Turbulent Shear Wave Boundary Layer,” Journal of Geophysical Research, Vol. 80, No. 36, 1975, pp. 5109–5112.
9.
Jonsson, I. G., “Measurements in the Turbulent Wave Boundary Layer,” Proceedings of the 10th Congress IAHR, London, England, Vol. 1, Paper 1.12, 1963, pp. 85–92.
10.
Jonsson, I. G., “Wave Boundary Layers and Friction Factors,” Proceedings 10th Conference on Coastal Engineering, ASCE, Tokyo, Japan, Vol. 1, 1966, pp. 127–148.
11.
Jonsson, I. G., “A New Approach to Oscillatory Rough Turbulent Boundary Layers,” Ocean Engineering, Vol. 7, Oxford, England, 1980, pp. 109–152, 567–570.
12.
Jonsson, I. G., and Carlsen, N. A., “Experimental and Theoretical Investigations in an Oscillatory Turbulent Boundary Layer,” Journal of Hydraulic Research, Vol. 14, No. 1, Delft, Holland, 1976, pp. 45–60.
13.
Kajiura, K., “A Model of the Bottom Boundary Layer in Water Waves,” Bulletin of the Earthquake Research Institute, Vol. 46, Tokyo, Japan, 1968, pp. 75–123.
14.
Kalkanis, G., “Transportation of Bed Material due to Wave Action,” Technical Memorandum No. 2, U.S. Army Coastal Engineering Research Center, Wash., 1964.
15.
Kamphuis, J. W., “Friction Factor under Oscillatory Waves,” Journal of the Waterways, Harbors and Coastal Engineering Division, ASCE, Vol. 101, No. WW2, Proc. Paper 11292, May, 1975, pp. 135–144.
16.
Knight, D. W., “Review on Oscillatory Boundary Layer Flow,” Journal of the Hydraulics Division, ASCE, Vol. 104, No. HY6, Proc. Paper 13796, June, 1978, pp. 839–855.
17.
Lambrakos, K. F., “Seabed Wave Boundary Layer Measurements and Analysis,” Journal of Geophysical Research, Vol. 87, No. C6, 1982, pp. 4171–4189.
18.
Myrhaug, D., “On a Theoretical Model of Rough Turbulent Wave Boundary Layers,” Ocean Engineering, Vol. 9, Oxford, England, 1982, pp. 547–565.
19.
Swart, D. H., “Off‐shore Sediment Transport and Equilibrium Beach Profiles,” Delft Univ. Technology Diss., Delft, Hydr. Lab. Publication 131, Delft, Holland, 1974.
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Information
Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 111 • Issue 3 • May 1985
Pages: 525 - 541
Copyright
Copyright © 1985 ASCE.
History
Published online: May 1, 1985
Published in print: May 1985
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