Mathermatical modelling of gravity-driven flows in environmental settings

已经观察到，在一定条件下，流体在开放的倾斜通道中的稳定排放不会导致均匀流体层的流动。相反，水流沿着其表面呈现出一系列间歇性的钻孔，这种模式被称为“滚波”。这种现象的发生对人工管道（如明渠、径流通道和大坝溢洪道）具有重要影响。相关的井眼可能会损坏流量控制和流量测量装置，并且可能足够高，使流体液位超出通道的限制。沿斜面自然发生的流动也可能涉及翻滚波。例如，多雨期过后在山区产生的泥石流或由火山爆发引发的泥石流会形成巨大的间歇性钻孔，这些钻孔会以足够的力量涌向山下，造成广泛的财产损失，甚至生命损失。此外，与翻滚波的出现有关的流体层底部剪切应力的显著增加加剧了土壤侵蚀。

It has been observed that, under certain conditions, the steady discharge of fluid in an open inclined channel does not result in the flow of a uniform fluid layer. Instead, the flow exhibits a series of intermittent bores along its surface, a pattern referred to as "roll waves". The occurrence of this phenomenon has important consequences in artificial conduits such as open aqueducts, run-off channels, and spillways from dams. The associated bores can damage flow control and flow measuring devices, and may be sufficiently high to raise the fluid level beyond the constraints of the channel. Naturally occurring flows along inclined surfaces can also involve roll waves. Mudflows, for example, generated in mountainous regions after intense rainy periods or initiated by volcanic eruptions can develop large intermittent bores that surge downhill with enough force to inflict extensive property damage and even loss of life. Furthermore, soil erosion is exacerbated by the significant increase in shear stress at the bottom of the fluid layer associated with the appearance of roll waves.