TY - JOUR

T1 - The Dam-Break Problem in a Semi-Open Channel

AU - Ostapenko, V. V.

N1 - Публикация для корректировки.

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Benjamin flow

KW - dam failure in a semi-open channel

KW - shallow water theories

UR - https://www.mendeley.com/catalogue/dcb191d1-c503-3d02-a787-f43d7659e2f8/

U2 - 10.1134/S1028335822120059

DO - 10.1134/S1028335822120059

M3 - Article

VL - 67

SP - 480

EP - 485

JO - Doklady Physics

JF - Doklady Physics

SN - 1028-3358

IS - 12

ER -