Abstract

On the basis of an analytical model of the flow of tractional sediments which takes into account the influence of the slopes of the bottom surface and bottom normal and tangential stresses on the movement of the bottom material, an analytical solution that allows one to determine the bottom tangential and normal stresses that arise when a turbulent flow around periodic long bottom waves of small amplitude is formulated and the problem of determining the growth rate of the amplitude of the bottom wave is solved. An analytical dependence is obtained from the solution of the problem which determines the growth rate of the amplitude of the bottom waves on the current value of its amplitude. Using the example of the development of a periodic sinusoidal bottom wave of small steepness, a verification is carried out which shows a good qualitative and quantitative agreement of the solution with the experimental data.

中文翻译：

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河道底面波浪扰动的发展

摘要

基于牵引沉积物流动的分析模型，该模型考虑了底部表面的斜率以及底部法向和切向应力对底部材料运动的影响，是一种可以确定底部的分析解决方案。解决了围绕周期性小振幅长底波的湍流形成时产生的切向应力和法向应力，解决了确定底波振幅增长率的问题。从问题的解决方案中获得了解析依赖性，该问题确定了底波振幅的增长率取决于其振幅的当前值。以出现一个小陡度的周期性正弦波底波为例，