Motivated by the laboratory experiments of Rodenborn et al. [Phys. Fluids 23, 026601 (2011)], a weakly nonlinear model is developed that accounts for viscous dissipation in the reflection of a finite-width internal wave beam from a uniform slope. Asymptotically, at high Reynolds number, viscous effects come into play predominantly in the immediate vicinity of the critical slope angle equal to the propagation angle to the horizontal of the incident wave beam. However, in the experiments of Rodenborn et al. where the Reynolds number is moderately large, it turns out that viscosity is important throughout the slope range considered, which explains the overall poor agreement of their observations with earlier inviscid models. The predictions of the proposed model, by contrast, are in good qualitative, and in some respects quantitative, agreement with these experiments, and they also compare favorably against numerical Navier-Stokes simulations.

中文翻译：

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斜坡内部波的粘性反射

受Rodenborn等人的实验室实验启发。[物理 [流体 23（026601）（2011）]，建立了一个弱非线性模型，该模型考虑了有限宽度的内部光束从均匀斜率反射时的粘性耗散。渐近地，在高雷诺数下，粘性效应主要在临界斜率角的紧邻范围内发挥作用，该临界斜率角等于相对于入射光束水平线的传播角。但是，在Rodenborn等人的实验中。在雷诺数适中的情况下，事实证明，粘度在所考虑的整个斜率范围内都是重要的，这解释了他们的观测与较早的无粘性模型的总体一致性较差。相比之下，所提出的模型的预测具有良好的定性，并且在某些方面是定量的，与这些实验吻合，并且它们与数值Navier-Stokes模拟也具有可比性。