Laboratoire FAST, Université Paris-Sud, UPMC Université Paris 6, CNRS, Bâtiment 502, Campus Universitaire, 91405 Orsay, France.
Phys Rev Lett. 2013 May 24;110(21):214503. doi: 10.1103/PhysRevLett.110.214503. Epub 2013 May 22.
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° 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/√[gL]~/=0.5, where L is the hull ship length.
从一组船舶尾迹的航空图像分析中,我们表明在较大速度下,尾迹角度随 U(-1) 减小,这与超音速飞机的马赫锥类似。这种以前未被注意到的马赫类似状态与著名的开尔文预测相矛盾,开尔文预测表明角度为 19.47°,与船舶速度无关。我们在这里提出了一个模型,该模型得到了数值模拟的证实,其中干扰的有限大小解释了开尔文和马赫状态之间在弗劳德数 Fr=U/√[gL]~=/=0.5 下的这种转变,其中 L 是船体的长度。