The present study is concerned with possible mechanisms of air entrainment in a thin liquid layer caused by oblique impact of a deformable body on the layer. The two-dimensional unsteady problem of oblique elastic plate impact is considered within the thin-layer approximation for the first time. The plate deflection is described by the Euler beam equation. The plate edges are free of stresses and shear forces. The plate deflections are comparable with the liquid layer thickness. It is revealed in this paper that, for a stiff plate, the initial impact by the trailing edge makes the plate rotate with the leading plate edge entering water before the wetted part of the plate arrives at this edge. The air cavity trapped in such cases can be as long as 40% of the plate length. For a flexible plate, the impact does not cause the plate rotation. However, the dry part of the plate in front of the advancing wetted region is deflected toward the liquid layer also trapping the air. The numerical results are presented for elastic and rigid motions of the plate, hydrodynamic pressure in the wetted part of the plate, position of this wetted part, and the flow beneath the plate.

中文翻译：

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斜弹性板对薄液层的冲击

本研究涉及由可变形体对薄液层的斜向冲击引起的薄液层中夹带空气的可能机制。首次在薄层近似中考虑了斜向弹性板冲击的二维非定常问题。板挠度由欧拉梁方程描述。板边缘没有应力和剪切力。板挠度与液层厚度相当。本文揭示，对于刚性板，在板的润湿部分到达该边缘之前，后缘的初始冲击使板随着前板边缘进入水中而旋转。在这种情况下被困的气腔可能长达板长的 40%。对于柔性板，冲击不会引起板旋转。然而，在前进的润湿区域前面的板的干燥部分向液体层偏转，同时也捕获了空气。给出了板的弹性和刚性运动、板润湿部分的流体动压、该润湿部分的位置以及板下方的流动的数值结果。