The Dam-Break Problem in a Semi-Open Channel

In this paper, we consider the nonclassical dam-break problem in a semi-open rectangular channel in the first approximation of the shallow water theory when the liquid is under the lid in the upper pool of the dam (i.e., it completely fills a semi-infinite rectangular container) and the liquid surfa...

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Bibliographic Details
Published in:Doklady. a journal of the Russian Academy of Sciences. Physics 2022-12, Vol.67 (12), p.480-485
Main Author: Ostapenko, V. V.
Format: Article
Language:English
Subjects:
Approximation
Classical Mechanics
Containers
Liquid flow
Liquid surfaces
Mathematical and Computational Physics
Mechanics
Open channels
Physics
Physics and Astronomy
Self-similarity
Shallow water
Theoretical
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Summary:In this paper, we consider the nonclassical dam-break problem in a semi-open rectangular channel in the first approximation of the shallow water theory when the liquid is under the lid in the upper pool of the dam (i.e., it completely fills a semi-infinite rectangular container) and the liquid surface is free in the bottom pool. It is shown that there is a unique piecewise constant self-similar solution to this problem, in which the hydraulic bore in the bottom pool of the dam is modeled by a shock wave, the descent wave in the upper pool of the dam is modeled by a strong discontinuity (when passing through which the total energy of the liquid flow is conserved), while the flow in the region between the hydraulic bore and the descent wave is approximated by a constant solution. Experimental modeling of this problem will make it possible to obtain wave flows that arise when liquid flows out of a rectangular container, a special case of which is the classical Benjamin flow.
ISSN:1028-3358
1562-6903
DOI:10.1134/S1028335822120059