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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 2, Pages 25–37
(Mi pmtf1077)
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This article is cited in 2 scientific papers (total in 2 papers)
Hydraulic jumps in two-layer flow with a free surface
S. L. Gavrilyuka, M. Yu. Kazakovabc a Institute of Industrial Thermal Systems University of Aix-Marseille, Marseille, 13453, France
b Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
c Novosibirsk State University, Novosibirsk, 630090, Russia
Abstract:
This paper presents a closure relation which describes hydraulic jumps in two-layer flows with a free surface over a flat bottom. This relation is derived from the momentum equations for each layer, which, subject to the condition of conservation of the total momentum and mass of each layer, become conservative in a sense. It is shown that use of this relation provides a reduction in the total energy at the jump.
Keywords:
two-layer shallow water equations, conservation laws, Rankine–Hugoniot relations, conservative equations.
Received: 28.06.2013
Citation:
S. L. Gavrilyuk, M. Yu. Kazakova, “Hydraulic jumps in two-layer flow with a free surface”, Prikl. Mekh. Tekh. Fiz., 55:2 (2014), 25–37; J. Appl. Mech. Tech. Phys., 55:2 (2014), 209–219
Linking options:
https://www.mathnet.ru/eng/pmtf1077 https://www.mathnet.ru/eng/pmtf/v55/i2/p25
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Abstract page: | 39 | Full-text PDF : | 17 |
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