论文标题
在浅水中阻力滞后
Hysteretic wave drag in shallow water
论文作者
论文摘要
从深水到浅水的运动期间，可能会出现多个平衡，每个平衡都具有相同的阻力 - 这种现象可以通过在浅波速度附近的波浪阻力的局部扩增来解释。这的含义是几种先前未研究的分叉模式和磁滞途径的出现。在这里，我们通过考虑深水和浅水之间的物体的准稳态运动来解决这些非线性动力学，其中深度正在缓慢变化。我们调查了一些用于阻力的理论模型，将这些模型与我们的TOW-TANK实验测量值进行比较，然后使用经过验证的理论使用两个参数探索分叉模式：运动深度和强迫。特别是，使用具有正弦深度谱的湖泊的案例研究，我们说明滞后效应在运动速度和旅行时间的速度上可以发挥重要作用，从而对海军和赛车应用产生了有趣的含义。
During motion from deep to shallow water, multiple equilibria may emerge, each with identical drag - a phenomenon that can be explained by a localised amplification of the wave drag near the shallow wave speed. The implication of this is the emergence of several previously unstudied bifurcation patterns and hysteresis routes. Here, we address these nonlinear dynamics by considering the quasi-steady motion of a body between deep and shallow water, where the depth is slowly varying. We survey several theoretical models for the drag, compare these against our tow-tank experimental measurements, and then use the validated theory to explore the bifurcation patterns using two parameters: the depth of motion and the forcing. In particular, using a case study of a lake with a sinusoidal depth profile, we illustrate that hysteresis effects can play a significant role on the speed of motion and journey time, presenting interesting implications for naval and racing applications.
