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Free-surface flow behind elastic plate impacting on a thin liquid layer
Journal of Physics: Conference Series Pub Date : 2020-11-21 , DOI: 10.1088/1742-6596/1666/1/012059
K A Shishmarev 1, 2 , T I Khabakhpasheva 1 , A A Korobkin 1, 3
Affiliation  

The problem of an inclined impact by an elastic plate on a thin liquid layer is considered. Evolution of the flow behind the plate is studied. The main input parameters are the position of the separation point of the liquid from the plate and the speed of the liquid under this point. The flow in the wake behind the plate is described by shallow water equations without gravity. Analytical formulae for the shape of the free surface behind the plate are derived. The study is focused on the possibility of the formation of jets arising from the wake perpendicular to the liquid layer. The problem is solved in two stages: before and after the formation of the first such a jet. The effects of the flow speed at the beginning of the wake, its time derivative, and the law of motion of the separation point on the formation of jets are investigated. The positions of the jets, their speeds and shapes are determined. Using the obtained results, mechanisms of the thin layer aeration behind the plate are discussed.



中文翻译:

弹性板后面的自由表面流撞击薄液体层

考虑了弹性板在薄液体层上倾斜冲击的问题。研究了板后流动的演变。主要输入参数是液体与板分离点的位置以及在该点下液体的速度。板后尾流中的水流由没有重力的浅水方程描述。推导出板后自由表面形状的解析公式。该研究集中于垂直于液层的尾流形成射流的可能性。该问题分两个阶段解决:在第一个此类射流形成之前和之后。研究了尾流开始时的流速,其时间导数以及分离点的运动规律对射流形成的影响。确定喷嘴的位置,速度和形状。利用获得的结果,讨论了板后薄层曝气的机理。

更新日期:2020-11-21
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