Abstract
Theoretical and experimental data which make it possible to find the flow-rate, momentum and energy of the fluid that enters the lower pool after a discontinuity breakdown (dam break) in a rectangular channel with an even bottom, a step (sharp downstream rise in the bottom), a shelf (sharp drop in the bottom), and a threshold on the bottom are presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
J. J. Stoker, Water Waves, Intersci. Publ., New York, London (1959).
L. D. Landau and E. M. Lifshits, Theoretical Physics. V. 6. Hydrodynamics [in Russian], Nauka, Moscow (1986).
A. A. Atavin, M. T. Gladyshev, and S. M. Shugrin, “On discontinuous flows in open beds,” Continuum Dynamics [in Russian], Publishing House of the Institute of Hydrodynamics of the Siberian Branch of the Academy of Sciences of the USSR, Novosibirsk, Is. 22, 37–64 (1975)
P. G. Kiselev, Handbook of Hydraulic Calculations [in Russian], Gosenergoizdat, Moscow & Leningrad (1958).
V. I. Bukreev, “Turbulent flow past a threshold in an open channel,” Prikl. Mekh. Tekhn. Fiz., 43, No.6, 54–61 (2002).
V. I. Bukreev and A. V. Gusev, “Waves behind a step in an open channel,” Prikl. Mekh. Tekhn. Fiz., 44, No.1, 62–70 (2003).
V. I. Bukreev, “On critical velocities and depths in a nonuniform steady-state flow in an open channel,” Vodnye Resursy, 31, No.1, 40–45 (2004).
V. I. Bukreev and A. V. Gusev, “Cavities behind a spillway with a wide threshold,” Prikl. Mekh. Tekhn. Fiz., 43, No.2, 129–135 (2002).
A. A. Atavin, O. F. Vasilyev, A. F. Voyevodin, and S. M. Shugrin, “Numerical methods of solving one-dimensional hydraulic problems,” Vodnye Resursy, No. 4, 38–47 (1983).
V. V. Belikov, A. A. Zaitsev, and A. N. Militeev, “Mathematical modeling of complex segments of the beds of large rivers,” Vodnye Resursy, 29, No.6, 698–705 (2002).
C. Colicchio, A. Colagrossi, M. Greco, and M. Landrini, “Free-surface flow after a dam break: a comparative study,” Schiffstechnik (Ship Technol. Res.), 49, No.3, 95–104 (2002).
R. F. Dressler, “Comparison of theories and experiments for the hydraulic dam-break wave,” Intern. Assoc. Sci. Hydrol., 3, No.38, 319–328 (1954).
V. I. Bukreev, A. V. Gusev, A. A. Malysheva, and I. A. Malysheva, “Experimental verification of the gas-hydraulic analogy with reference to the dam-break problem,” Fluid Dynamics, 39, No.5, 801–809 (2004).
V. V. Ostapenko, “Flows arising at a dam break above a bottom shelf,” Prikl. Mekh. Tekhn. Fiz., 44, No.6, 107–122 (2003).
V. I. Bukreev, A. V. Gusev, and V. V. Ostapenko, “Waves in an open channel arising on removal of a gate in front of an uneven shelf-type bottom,” Vodnye Resursy, 31, No. 5, 540–545 (2004).
V. I. Bukreev, A. V. Gusev, and V. V. Ostapenko, “Breakdown of a discontinuity of the free fluid surface over a bottom step in a channel,” Fluid Dynamics, 38, No.6, 889–899 (2003).
V. N. Shatalina, “Propagation of a break-through wave in a channel above a bottom threshold. Experiment,” Transactions of the Novosibirsk State Architectural and Building University, 4, No.2(13), 162–167 (2001).
V. Yu. Lyapidevskii and V. M. Teshukov, Mathematical Models of the Propagation of Long Waves in an Inhomogeneous Fluid [in Russian], Publishing House of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk (2000).
Additional information
__________
Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 5, 2005, pp. 115–123.
Original Russian Text Copyright © 2005 by Bukreev.
Rights and permissions
About this article
Cite this article
Bukreev, V.I. On the Water Depth in the Breach during a Partial Dam Break. Fluid Dyn 40, 769–776 (2005). https://doi.org/10.1007/s10697-005-0114-4
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10697-005-0114-4