论文标题

沿任意轨迹移动的干扰上不稳定的波浪阻力

Unsteady Wave Drag on a Disturbance Moving Along an Arbitrary Trajectory

论文作者

Gierczak, Lucas, Fadle, Assil, Arutkin, Maxence, Raphaël, Elie, Benzaquen, Michael

论文摘要

我们为在空气水界面任意移动的干扰的唤醒和波浪阻力得出分析公式。我们表明,只要在有限的时间内达到恒定的速度,则不稳定的表面位移会融合到Havelock著名公式所给出的众所周知的稳定对应物。最后,我们在特定情况下评估了哪种程度可以正确地使用Havelock的稳定波阻力公式进行不均匀运动(准静态)。这种方法可用于使或抹黑许多在不稳定情况下使用稳定波阻力公式的研究。

We derive analytical formulas for the wake and wave drag of a disturbance moving arbitrarily at the air-water interface. We show that, provided a constant velocity is reached in finite time, the unsteady surface displacement converges to its well-known steady counterpart as given by Havelock's famous formula. Finally we assess, in a specific situation, to which extent one can rightfully use Havelock's steady wave drag formula for non-uniform motion (quasi-static). Such an approach can be used to legitimize or discredit a number of studies which used steady wave drag formulas in unsteady situations.

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