平坦底床上恒定涡度流中周期性行进水波下方的压力
Pressure beneath a periodic travelling water-wave in constant-vorticity flow over a flat bed
AI总结：
在线性理论框架下，研究了恒定涡度流中平坦底床上的规则波列的总压力（水动力压力）和动压力行为，发现非零涡度会显著改变动压力极值的位置，且涡度虽不改变水动力压力随深度增加的趋势，但会改变固定深度处水动力压力极值的位置。
摘要：
我们在线性理论框架内研究了在具有平坦底床的恒定涡度流中，传播于水面的规则波列的总（水动力）压力和动压力的行为。我们表明，非零涡度（非均匀底层流的标志）可能会强烈改变相对于无旋流的情况的行为，在无旋流中，动压力的最大值和最小值分别始终出现在波峰和波谷处（动压力的极值可能出现在平坦底床或临界层处，具体取决于涡度强度）。虽然涡度不会改变水动力压力随深度增加的趋势，但它可以显著改变固定深度处水动力压力极值的位置。
英文摘要：
We investigate within the framework of linear theory the behaviour of the total (hydrodynamic) pressure and of the dynamic pressure in a regular wave train which propagates at the surface of water with a flat bed in a flow with constant vorticity. We show that nonzero vorticity, the hallmark of a non-uniform underlying current, may strongly alter the behaviour with respect to the case of irrotational flows, for which the maximum and minimum of the dynamic pressure always occur at the wave crest and at the wave trough, respectively (the extrema of the dynamic pressure may occur along the flat bed or along the critical level, depending on the vorticity strength). While vorticity does not modify the increase of the hydrodynamic pressure with depth, it can significantly alter the location of the extrema of the hydrodynamic pressure at a fixed depth level.
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