Linear drag law for high-Reynolds-number flow past an oscillating body

the problem in order to investigate the fluid mechanical consequences of combined dc and ac motions. Specifically, we will vary the relative magnitudes of the (time-averaged) ac speed w and the dc speed U in order to explore a range of fluid dynamic conditions, from purely steady to strongly unsteady. For dc-dominated conditions, one expects that local flows generated in one oscillation are left behind and do not strongly affect the next. The ac-dominated conditions, in contrast, could lead to strong body-vortex interactions that significantly alter the fluid forces.

为了研究直流和交流运动相结合的流体力学结果这一问题。具体而言，我们将改变（时间平均的）交流速度ω和直流速度U的相对大小，以便探索一系列从纯稳态到强非稳态的流体动力学条件。对于以直流为主的情况，人们预计在一次振荡中产生的局部流动会被遗留下来，并且不会对下一次产生强烈影响。相比之下，以交流为主的情况可能会导致强烈的物体 - 涡旋相互作用，从而显著改变流体力。