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Eddy Viscosity Models for Wave Boundary Layers

机译:波边界层的涡流粘度模型

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Motivated by recent experimental results on wave, current and combined wave-current flows over an artifiicially rippled bed, the boudnary resistance experienced by waves over two-dimensional bottom roughness elements is formulated in terms of a drag law. The resulting empirical relationship for the drag coefficient suggests a flwo resistance that is similar in nature to one obtained from a constnat, pseudo-laminar eddy viscosity model for the wave boundary layer flow. Analysis of available experimental data on energy dissipation for oscillatory flow over movable rippled beds leads to a constant eddy viscosity model for wave boundary layers above naturally rippled beds. The constant eddy viscosity model is modified to include a near-bottom linear transition to make it zero at the bed. This hybrid eddy viscosity model is shown to capture the essential features of wave boundary layer flows for the full range of bottom roughnesses encountered, i.e. from sand grains to ripples. Application of the hybrid model requires knowledge of the equivalent bottom roughness for which empirical expressions are derived. The implication of the results, obtained here for waves, for combined wave-current boundary layer flows suggests modifications of the Grant-Madsen model that greatly improve this model's ability to predict observed current velocity profiles over rippled bottoms in the presence of waves.
机译:根据最近在人造波纹床上的波浪,电流和联合波浪-电流流动的实验结果的激励,波浪在二维底部粗糙度元件上所经受的基流阻力是根据阻力定律来表述的。所得的阻力系数经验关系表明,其抗流性与从波边界层流的恒定,拟层流涡流粘度模型获得的阻力本质上相似。对可动波纹床上方振荡流的能量耗散的可用实验数据进行分析,得出了自然波纹床上方波边界层的恒定涡流粘度模型。修改了恒定涡流粘度模型,使其包括一个接近底部的线性过渡,以使其在床层处为零。该混合涡流粘度模型显示出在遇到的所有底部粗糙度范围内(即从沙粒到波纹)捕获了波边界层流的基本特征。混合模型的应用需要了解等效的底部粗糙度,并为此得出经验表达式。对于波,这里得到的结果意味着对于波-电流边界层流的合并流动,表明对Grant-Madsen模型进行了修改,极大地提高了该模型预测存在波的波纹底部上观测到的流速分布的能力。

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