Interfacial solitary waves in a two-fluid medium

Interfacial solitary waves in a two-fluid medium
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DOI:
10.1063/1.1694215
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发表时间:
1973-11
期刊:
影响因子:
4.6
通讯作者:
L. Walker
L. Walker
中科院分区:
工程技术2区
文献类型:
--
作者:
L. Walker

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孤立波是在两种不互溶液体之间的界面上产生的,具有自由上表面;它们的行为通常与Korteweg‐de弗里斯方程预测的行为一致。无粘性理论扩展到包括毛细效应预测不变的波速和缩小的波形,以一阶振幅,无论上边界条件;但测量的速度下降8%,缩小是大大在非常小的振幅。速度差似乎与界面粘性边界层一致。分离稳定重力孤立波升降模式的临界深度比在无粘极限下进行了预测。本文讨论了一种可编程变通量造波机的设计,它能有效地产生界面波。
Solitary waves are generated on the interface between two immiscible liquids with free upper surface; their behavior is generally consistent with that predicted by the Korteweg‐de Vries equation. Inviscid theory expanded to include capillary effects predicts unchanged wave speed and narrowed wave shape to first order in amplitude regardless of upper boundary condition; but measured speeds are down 8% and narrowing is substantially greater at very small amplitudes. The speed difference appears consistent with an interfacial viscous boundary layer. The critical depth ratio separating the elevation and depression modes of the stable gravity solitary wave ageees with prediction in the inviscid limit. The design of a programmed, variable flux wavemaker for efficiently generating interfacial waves is discussed.