GUIDED AND UNGUIDED INTERFACIAL SOLITARY WAVES
GUIDED AND UNGUIDED INTERFACIAL SOLITARY WAVES
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DOI：
10.1093/qjmam/48.1.21
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发表时间：
1995-02-01
影响因子：
0.9
通讯作者：
KING, AC
中科院分区：
文献类型：
--
作者：
MONI, JN;KING, AC
本文研究了两种不同密度叠加流体界面处的进动孤立波。在上下由刚性壁隔开的两流体系统中，我们称这种波为导波。如果没有顶壁，也就是说，顶部流体的自由表面暴露在空气中，则波是无导向的。该问题是通过使用广义Schwartz-Christoffel变换技术来表述的，该技术得到了界面角(i)、自由表面角(s)的非线性积分微分方程系统，以及界面上电位跳跃的连接方程。数值解的系统给出了一个范围的弗劳德数显示密度和深度比的影响。
This paper deals with progressing solitary waves at the interface of two superimposed fluids of different densities. In the case of a two-fluid system bounded above and below by rigid walls, we refer to the wave as guided. If the top wall is absent, that is, the top fluid has its free surface exposed to air, the wave is unguided. The problem is formulated by using a generalized Schwartz-Christoffel transformation technique which results in a system of nonlinear integro-differential equations for the interfacial angle theta(i), free surface angle theta(s), and a connection equation for the jump in the potential across the interface. Numerical solutions for the system are presented for a range of Froude numbers showing the effect of density and depth ratios.