1984
DOI: 10.1029/jc089ic05p07999
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Turbulent wave boundary layers: 2. Second‐order theory and mass transport

Abstract: The solution for the turbulent near‐bottom boundary layer produced by a progressive wave train is advanced to second order in wave steepness. As in the first‐order analysis (part 1) the effective viscosity is assumed to be the product of a vertical length scale and the first few Fourier components of a shear velocity based on the instantaneous, local bed shear stress. An analytical solution for the second‐order flow field is obtained, with attention directed primarily toward the second‐order, wave‐induced stea… Show more

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Cited by 131 publications
(114 citation statements)
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References 13 publications
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“…Moreover, the present predictions are closer to the experimental data than those obtained by previous researchers (e.g. Trowbridge & Madsen 1984b). The significant differences which appear far from the bottom might be due to the finite length of the wave channel used in the experiments and the consequent offshore steady current which is present outside the boundary layer.…”
Section: The Numerical Solutioncontrasting
confidence: 52%
“…Moreover, the present predictions are closer to the experimental data than those obtained by previous researchers (e.g. Trowbridge & Madsen 1984b). The significant differences which appear far from the bottom might be due to the finite length of the wave channel used in the experiments and the consequent offshore steady current which is present outside the boundary layer.…”
Section: The Numerical Solutioncontrasting
confidence: 52%
“…How close to shore streaming commences will vary with the wave field (Trowbridge & Madsen 1984, Kranenburg et al 2012, Henriquez et al 2014) and the slope of the bottom, but it is probably often present within tens to hundreds of meters of the shore (Fig. 12).…”
Section: Discussionmentioning
confidence: 99%
“…The mechanism giving rise to the residual velocity is the asymmetry in turbulence intensity between the two flow half-cycles, which leads to the generation of a time-averaged, height-dependent stress within the boundary layer (Trowbridge & Madsen 1984;Davies & Li 1997;Holmedal & Myrhaug 2006). Figure 11 presents the residual velocity profiles for all of the present 12 experiments.…”
Section: Time-averaged Flowmentioning
confidence: 99%