Abstract: 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 drill 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.

Cite: Ostapenko V.V.
The dam-break problem in a semi-open channel
Doklady Physics. 2022. V.67. N12. P.482-487. DOI: 10.1134/S1028335822120059 WOS Scopus РИНЦ OpenAlex

Original: Остапенко В.В.
Задача о разрушении плотины в полуоткрытом канале
Доклады Российской академии наук. Физика, технические науки.. 2022. Т.507. №1. С.52-58. DOI: 10.31857/S268674002206013X РИНЦ OpenAlex

Identifiers:

Web of science:	WOS:000957175300003
Scopus:	2-s2.0-85150952624
Elibrary:	59235490
OpenAlex:	W4360931035

Citing: Пока нет цитирований

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