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.
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页码：126 / 130
页数：5
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