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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 2, Pages 127–140 (Mi pmtf1086)  
This article is cited in 10 scientific papers (total in 10 papers)

Mixing layer under a free surface

V. Yu. Lyapidevskiiab, A. A. Chesnokovab

a Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
Full-text PDF (393 kB) Citations (10)
Abstract: In the long-wave approximation, the flow of a homogeneous fluid with a free surface in the gravity field is considered. Mathematical models of the surface turbulent layer in shear flows are derived. Steady solutions of the problem of evolution of the mixing layer under the free surface and formation of a surface turbulent jet are constructed. In particular, the problem of the structure of a turbulent bore in a supercritical flow is solved, and the conditions for the formation of a local subcritical zone ahead of the obstacle are studied.
Keywords: shallow water equations, mixing layer, turbulent bore, breakdown of waves.
Received: 29.07.2013
English version:
Journal of Applied Mechanics and Technical Physics, 2014, Volume 55, Issue 2, Pages 299–310
DOI: https://doi.org/10.1134/S0021894414020126
Bibliographic databases:
Document Type: Article
UDC: 532.591+532.526
Language: Russian
Citation: V. Yu. Lyapidevskii, A. A. Chesnokov, “Mixing layer under a free surface”, Prikl. Mekh. Tekh. Fiz., 55:2 (2014), 127–140; J. Appl. Mech. Tech. Phys., 55:2 (2014), 299–310
Citation in format AMSBIB
\Bibitem{LyaChe14}
\by V.~Yu.~Lyapidevskii, A.~A.~Chesnokov
\paper Mixing layer under a free surface
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2014
\vol 55
\issue 2
\pages 127--140
\mathnet{http://mi.mathnet.ru/pmtf1086}
\elib{https://elibrary.ru/item.asp?id=21946333}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2014
\vol 55
\issue 2
\pages 299--310
\crossref{https://doi.org/10.1134/S0021894414020126}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1086
  • https://www.mathnet.ru/eng/pmtf/v55/i2/p127
    • This publication is cited in the following 10 articles:
    1. V. Yu. Lyapidevskii, A. A. Chesnokov, “Mixing layer in two-layer cocurrent flows of stratified fluid”, J. Appl. Mech. Tech. Phys., 63:6 (2022), 1010–1021  mathnet  crossref  crossref  mathscinet  elib
    2. A. A. Chesnokov, S. L. Gavrilyuk, V. Yu. Liapidevskii, “Mixing and nonlinear internal waves in a shallow flow of a three-layer stratified fluid”, Physics of Fluids, 34:7 (2022)  crossref
    3. Alexander Chesnokov, Valery Liapidevskii, “Mixing layer and turbulent jet flow in a Hele–Shaw cell”, International Journal of Non-Linear Mechanics, 125 (2020), 103534  crossref
    4. Alexander Chesnokov, Trieu Hai Nguyen, “Hyperbolic model for free surface shallow water flows with effects of dispersion, vorticity and topography”, Computers & Fluids, 189 (2019), 13  crossref
    5. Sergey Gavrilyuk, Valery Liapidevskii, Alexander Chesnokov, “Interaction of a subsurface bubble layer with long internal waves”, European Journal of Mechanics - B/Fluids, 73 (2019), 157  crossref
    6. A A Chesnokov, V Yu Liapidevskii, I V Stepanova, “Kinematic-wave model of viscous fingers with mixing layer”, J. Phys.: Conf. Ser., 894 (2017), 012107  crossref
    7. S. L. Gavrilyuk, V. Yu. Liapidevskii, A. A. Chesnokov, “Spilling breakers in shallow water: applications to Favre waves and to the shoaling and breaking of solitary waves”, J. Fluid Mech., 808 (2016), 441  crossref
    8. I. I. Lipatov, V. Yu. Liapidevskii, A. A. Chesnokov, “An unsteady pseudoshock model for barotropic gas flow”, Dokl. Phys., 61:2 (2016), 82  crossref
    9. P V Kovtunenko, “One-dimensional mixing layer model for a shear Hele-Shaw flow”, J. Phys.: Conf. Ser., 722 (2016), 012020  crossref
    10. A. Boudlal, V. Yu. Lyapidevskii, “Roll waves in channels with an active gas phase”, J. Appl. Mech. Tech. Phys., 56:4 (2015), 541–548  mathnet  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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