论文标题

炮台摇摆

Gunwale bobbing

论文作者

Benham, GP, Devauchelle, O, Morris, SW, Neufeld, JA

论文摘要

经过实验表明,在振动的液体浴上弹跳的小滴,由于它们与自己的波场相互作用,可以在整个表面上“行走”。 Gunwale Bobbing是这种现象的真人大小实例,其中一个站在独木舟上的人通过将其泵入腿部振荡来推动它。独木舟通过浏览所得波场来向前移动。初始瞬态之后,独木舟达到了巡航速度,该速度满足了从向下向下向下推进波场表面梯度而产生的推力之间的平衡与由于轮廓阻力和波浪阻力的结合而产生的电阻。通过对Havelock(1919)的线性波理论进行稳定的巡航和Helmholtz的震撼力,我们证明可以维持这种平衡。我们计算最佳参数值以达到最大的独木舟速度。我们将理论结果与从热情的炮板浮雕中获取的加速度计进行了比较。我们讨论了炮wale摇摆和流体动力量子类似物的相似性和差异,以及在竞争运动中的可能应用。

It has been shown experimentally that small droplets, bouncing on a vibrated liquid bath, can "walk" across the surface due to their interaction with their own wave-field. Gunwale bobbing is a life-size instance of this phenomena in which a person standing on the gunwales of a canoe propels it by pumping it into oscillation with the legs. The canoe moves forward by surfing the resulting wave-field. After an initial transient, the canoe achieves a cruising velocity which satisfies a balance between the thrust generated from pushing downwards into the surface gradients of the wave-field and the resistance due to a combination of profile drag and wave drag. By superposing the linear wave theories of Havelock (1919) for steady cruising and of Helmholtz for an oscillating source, we demonstrate that such a balance can be sustained. We calculate the optimal parameter values to achieve maximum canoe velocity. We compare our theoretical result to accelerometer data taken from an enthusiastic gunwale bobber. We discuss the similarities and differences between gunwale bobbing and hydrodynamic quantum analogues, and possible applications to competitive sports.

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