Dasgupta, Ratul ; Govindarajan, Rama (2012) The hydraulic jump and the shallow-water equations International Journal of Advances in Engineering Sciences and Applied Mathematics, 3 (1-4). pp. 126-130. ISSN 0975-0770
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Official URL: http://www.springerlink.com/content/v05126w06t3q60...
Related URL: http://dx.doi.org/10.1007/s12572-011-0047-6
Abstract
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Hydraulic Jumps; Shallow-water Equations |
| ID Code: | 89663 |
| Deposited On: | 30 Apr 2012 14:57 |
| Last Modified: | 30 Apr 2012 14:57 |
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