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Vortex sound with special reference to vortex rings: theory, computer simulations, and experiments

机译:漩涡声,特别涉及漩涡环:理论,计算机模拟和实验

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This is a review paper on vortex sound with special reference to vortex rings and sound emission detected in experimental tests. Any unsteady vortex motion excites acoustic waves. From the fundamental conservation equations of mass, momentum and energy of fluid flows, one can derive a wave equation of aerodynamic sound. The wave equation of acoustic pressure can be reduced to a compact form, called the equation of vortex sound. This equation predicts sound generation by unsteady vortex motions. On the other hand, based on the matched asymptotic expansion (using the multipole expansions), one can derive a formula of wave pressure excited by time-dependent vorticity field localized in space. The theoretical predictions are compared with experimental observations and direct computer simulations. The systems considered are, head-on collision or oblique collision of two vortex rings, vortex-cylinder interaction, vortex-edge interaction, and others. Scaling laws of the pressure of emitted sound are predicted by the theory and compared with experimental observations. Comparison between theories and observations shows excellence of the theoretical predictions. Direct numerical simulations are reviewed briefly for sound generation by collisions of two vortex rings and that by a cylinder immersed in a uniform stream (aeolian tones). Vortex sound in superfluid is also reviewed about experimental observations and computational studies on the basis of the Gross-Pitaevski equation.
机译:这是一篇有关涡旋声的评论论文,其中特别提到了涡流环和在实验测试中检测到的声音发射。任何不稳定的涡旋运动都会激发声波。根据质量,流体动量和能量守恒的基本方程,可以推导出空气动力学声波方程。声压的波动方程可以简化为紧凑形式,称为涡旋声方程。该方程可预测非定常涡旋运动产生的声音。另一方面,基于匹配的渐近展开式(使用多极展开式),可以推导出由空间中随时间变化的涡度场激发的波压公式。将理论预测与实验观察结果和直接计算机模拟进行比较。所考虑的系统是两个涡流环的正面碰撞或斜向碰撞,涡流-圆柱相互作用,涡流-边缘相互作用等。该理论预测了发出声音的压力的比例定律,并与实验观察结果进行了比较。理论与观察之间的比较表明了理论预测的卓越。对于两个涡流环的碰撞以及浸没在均匀流(风声)中的圆柱体产生的声音,简要回顾了直接数值模拟的声音。还基于Gross-Pitaevski方程对超流体中的涡旋声进行了实验观察和计算研究的综述。

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