Research output: Contribution to journal › Article › peer-review
The Dam-Break Problem in a Semi-Open Channel. / Ostapenko, V. V.
In: Doklady Physics, Vol. 67, No. 12, 2022, p. 480-485.Research output: Contribution to journal › Article › peer-review
}
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 -
ID: 55694454