Some analytical properties of capillary-gravity waves in two-fluid flows of infinite depth
Some analytical properties of capillary-gravity waves in two-fluid flows of infinite depth
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无限深度二流体流动中毛细管重力波的一些解析性质
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
S. Sun
中科院分区：
文献类型：
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作者：
S. Sun
本文研究了两流体界面上的有限振幅毛细重力波。在每个方向上无限延伸的恒定密度的流体是无粘性和不可压缩的。流动是二维的，在每种流体中都是无旋的。假设在界面上有一个以恒定速度运动的永久波，该波以一定的速率衰减到无穷远处的零。它表明，波必须在无穷远二次衰减和相应的精确控制方程的解必须满足两个积分恒等式的净位移和波的能量，而前者意味着不存在波的纯低压或纯海拔的流动。
Capillary-gravity waves of finite amplitude at the interface of a two-fluid flow are considered. The fluids of constant densities, extended to infinity in each direction, are inviscid and incompressible. The flow is two-dimensional and irrotational in each fluid. Assume that there is a permanent wave at the interface moving with a constant speed and the wave decays to zero at infinity with a certain rate. It is shown that the wave must decay at infinity quadratically and the solution of the exact governing equations corresponding to such a wave must satisfy two integral identities for the net displacement and the energy of the wave, while the former implies non-existence of waves of pure depression or pure elevation in the flow.