舰船尾流:开尔文角还是马赫角?
Ship wakes: Kelvin or Mach angle?
摘要:
从一组航空图像的船舶尾流的分析,我们表明,尾流角减少$U^{-1}$在大的速度,在某种程度上类似于马赫锥超音速飞机。这种以前未被注意到的马赫状态与著名的开尔文预测相矛盾,开尔文预测$19.47\degree$的恒定角与船的速度无关。我们在这里提出了一个模型,证实了数值模拟,在该模型中,有限大小的扰动解释了这种转变之间的开尔文和马赫制度在弗劳德数$Fr = U/\sqrt{gL} \simeq 0.5$,其中$L$是船体船的长度。
英文摘要:
From the analysis of a set of airborne images of ship wakes, we show that the wake angles decrease as $U^{-1}$ at large velocities, in a way similar to the Mach cone for supersonic airplanes. This previously unnoticed Mach-like regime is in contradiction with the celebrated Kelvin prediction of a constant angle of $19.47\degree$ independent of the ship's speed. We propose here a model, confirmed by numerical simulations, in which the finite size of the disturbance explains this transition between the Kelvin and Mach regimes at a Froude number $Fr = U/\sqrt{gL} \simeq 0.5$, where $L$ is the hull ship length.
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