An asymptotic solution with double-deck boundary layer structure is constructed for the problem of an incompressible fluid flow over a semi-infinite plate with small localized or periodic (fast-oscillating) irregularities on the surface whose shape depends on time. Numerical simulation of flow in the near-plate region is presented for two types of the shape change: oscillations of the amplitude of irregularities and the motion of the irregularity in the upstream and downstream directions. The influence of the time-dependent shape on the flow behavior (including the vortex formation process) is shown in detail.

中文翻译：

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具有随时间变化形状的小不规则板的流体流动问题中的双层结构

一种具有双层边界层结构的渐近解是针对不可压缩流体流过半无限板的问题构建的，该板的表面具有小的局部或周期性（快速振荡）不规则性，其形状取决于时间。对近板区流动的数值模拟提出了两种形状变化：不规则幅度的振荡和不规则在上下游方向的运动。详细显示了随时间变化的形状对流动行为（包括涡流形成过程）的影响。