Bed-Shear Stress in Turbulent Wave-Current Boundary Layers
Publication: Journal of Hydraulic Engineering
Volume 134, Issue 2
Abstract
An approach for calculating turbulent flows in a wave-current boundary layer over a slowly varying bed is presented. Waves are periodic in time with several harmonics. In this paper, we adopt a time invariant eddy viscosity model, in which the eddy viscosity is linearly proportional to the distance from the bed. The boundary-layer flow field is solved analytically in terms of Fourier components. The approach allows fast computations and can be easily included in a phase resolving wave propagation model. As a part of the results, bottom shear stress and the spatial variation of the boundary layer thickness are also obtained. Present results compare well with experimental data and can explain the asymmetries in the bottom shear stress under sawtooth shaped waves.
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Acknowledgments
The writers would like to thank B. M. Sumer and co-workers for providing experimental data. The first two writers would like to thank the financial support from CSIC (2006-3-01068) and Govern Balear (AE13706/2005). The third writer would like to acknowledge financial support from NSF and ONR through grants to Cornell University.NSFONR
References
Fredsoe, J., and Deigaard, R. (1992). Mechanics of coastal sediment transport, World Scientific, Singapore.
Graf, W. H., and Altinakar, M. S. (1998). Fluvial hydraulics, Wiley, London.
Grant, W. D., and Madsen, O. S. (1979). “Combined wave and current interaction with a rough bottom.” J. Geophys. Res., C: Oceans Atmos., 84(4), 1797–1808.
Jensen, B. L., Sumer, B. M., and Fredsoe, J. (1989). “Boundary layers at high reynolds numbers.” J. Fluid Mech., 206, 265–297.
Jonsson, I. G. (1967). “Wave boundary layers and friction factors.” Proc., 10th Int. Conf. Coastal Engineering, ASCE, New York, 127.
Kajiura, K. (1964). “On the bottom friction in an oscillatory current.” Bull. Earthquake Res. Inst., Univ. Tokyo, 42, 147–174.
Liu, P. L.-F. (2006). “Turbulent boundary-layer effects on transient wave propagation in shallow water.” Proc. R. Soc. London, 462(2075), 3481–3491.
Liu, P. L.-F., and Orfila, A. (2004). “Viscous effects on transient long wave propagation.” J. Fluid Mech., 520, 83–92.
Liu, P. L.-F., Park, Y. S., and Cowen, E. A. (2007). “Boundary layer flow and bed shear stress under a solitary wave.” J. Fluid Mech., 574, 449–463.
Lodahl, C. R., Sumer, B. M., and Fredsoe, J. (1998). “Turbulent combined oscillatory flow and current in a pipe.” J. Fluid Mech., 373, 313–348.
Nielsen, P. (1992). Coastal bottom boundary layer and sediment transport, World Scientific, Singapore.
Orfila, A., Simarro, G., and Liu, P. L.-F. (2007). “Bottom friction and its effects on periodic long wave propagation.” Coastal Eng., 54, 856–864.
Riedel, H. P. (1972). “Direct measurement of bed shear stress under waves.” Ph.D. thesis, Queen’s University, Ont., Canada.
Sleath, J. (1987). “Turbulent oscillatory flow over rough beds.” J. Fluid Mech., 182, 369–409.
Soulsby, R. L., Hamm, L., Klopmann, G., Myrhaug, D., Simons, R. R., and Thomas, G. P. (1993). “Wave current interaction within and outside the bottom boundary layer.” Coastal Eng., 21(1–3), 41–69.
Malarkey, J., and Davies, A. G. (1998). “Modelling wave-current interactions in rough turbulent bottom boundary layers.” Ocean Eng., 25(2–3), 119–141.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 134 • Issue 2 • February 2008
Pages: 225 - 230
Copyright
© 2008 ASCE.
History
Received: Oct 2, 2006
Accepted: Apr 12, 2007
Published online: Feb 1, 2008
Published in print: Feb 2008
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