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arXiv 2005.00857physics.flu-dyn
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沿任意轨迹运动的扰动所受的非定常波阻

Unsteady Wave Drag on a Disturbance Moving Along an Arbitrary Trajectory

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

AI总结:

本文推导空气-水界面任意运动扰动的尾迹与波阻解析公式,证明有限时间达到恒速时非定常位移收敛于 Havelock 定常解,并评估准静态公式的适用边界。

摘要:

我们推导了在空气-水界面上任意运动的扰动所受尾迹阻力与波阻的解析公式。我们表明,若扰动在有限时间内达到恒定速度,则非定常表面位移会收敛到由著名的 Havelock 公式给出的众所周知的定常对应结果。最后,我们在一种特定情形下评估:人们在多大程度上可以正当地将 Havelock 的定常波阻公式用于非匀速运动(准静态)。这种方法可用于认可或质疑若干在非定常情形中使用定常波阻公式的研究。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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