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Dipole Vorticity Sources at Sharp Corners along a Fluid Interface

机译:沿流体界面的尖角处的偶极涡流源

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In recent experiments of translating droplets, results have indicated that there may be a unique source of vorticity located at the triple contact line or corner singularity. In this paper, vorticity generation at sharp corners is identified and characterized by investigating a small region near the corner where the Reynolds number is small and Stokes flow assumptions are valid. Specifically, the flows described by a stream function of order r and constant interface velocity are investigated. For this class of flow, it is determined that the vorticity near the corner singularity scales with r~(-1) and expresses a dipole vorticity distribution with a point source of vorticity at the corner singularity. The vortex dipole is created by a jump in the interface velocity or direction at the sharp corner. Analytical relations are provided for predicting the strength and orientation of the dipole. A comparison of the analytically predicted dipole vorticity distribution shows good agreement with independent Navier-Stokes simulations of the paint scraper problem.
机译:在最近的液滴平移实验中,结果表明在三重接触线或拐角奇点处可能存在唯一的涡旋源。在本文中,通过研究靠近雷诺数小且斯托克斯流假设有效的拐角附近的一个小区域来识别和表征尖角处的涡流。具体而言,研究了由阶r和恒定界面速度的流函数描述的流。对于此类流动,确定拐角奇点附近的涡度与r〜(-1)成比例,并表示一个偶极涡度分布,拐点奇点处具有涡点源。涡旋偶极子是由尖角处的界面速度或方向上的跳跃产生的。提供了用于预测偶极子的强度和方向的分析关系。分析预测的偶极子涡度分布的比较表明,与刮漆器问题的独立Navier-Stokes模拟具有良好的一致性。

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