The hydraulic jump and the shallow-water equations

被引：0

作者：

Dasgupta, Ratul ^{[1
]}

Govindarajan, Rama ^{[2
]}

机构：

[1] Weizmann Inst Sci, Dept Chem Phys, Rehovot, Israel

[2] Jawaharlal Nehru Ctr Adv Sci Res Jakkur, Engn Mech Unit, Bangalore, Karnataka, India

来源：

INTERNATIONAL JOURNAL OF ADVANCES IN ENGINEERING SCIENCES AND APPLIED MATHEMATICS | 2011年 / 3卷 / 1-4期

关键词：

Hydraulic Jumps; Shallow-water equations;

D O I：

10.1007/s12572-011-0047-6

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This is a study of the shallow-water equations in the context of standing hydraulic jumps in a planar geometry. The inviscid solutions are reviewed and it is demonstrated that the commonly used vertical averaging procedure leads to a closure problem. Inconsistencies associated with the vertical averaging procedure are also pointed out. We thus show that the recent solutions of the boundary-layer shallow-water equations provided in Dasgupta and Govindarajan (Phys Fluids 22:108-112, 2010) are consistent and correct.

引用

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页码：126 / 130

页数：5

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