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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 4, Pages 26–38 (Mi pmtf2166)  
Subcritical and supercritical shear flows above an uneven bottom

V. M. Teshukova, A. Budlalb

a Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
b Laboratory of Mechanics, Lille University of Science and Technology, Villeneuve d’Ascq Cedex, 59655, France
Full-text PDF (267 kB)
Abstract: The concepts of subcritical and supercritical flows are introduced for the long-wave approximation model describing stationary free-boundary rotational flows of an ideal incompressible fluid. Shear flows of a fluid layer above an uneven bottom are analyzed. Exact solutions describing different flow regimes are constructed, and the flow properties are studied as a function of the flow regime. Flows with backward streamlines are considered.
Keywords: long-wave approximation, shear flow, free boundary, subcritical and supercritical regimes, recirculation zone.
Received: 07.09.2005
English version:
Journal of Applied Mechanics and Technical Physics, 2006, Volume 47, Issue 4, Pages 481–491
DOI: https://doi.org/10.1007/s10808-006-0080-6
Bibliographic databases:
Document Type: Article
UDC: 532.592; 517.958
Language: Russian
Citation: V. M. Teshukov, A. Budlal, “Subcritical and supercritical shear flows above an uneven bottom”, Prikl. Mekh. Tekh. Fiz., 47:4 (2006), 26–38; J. Appl. Mech. Tech. Phys., 47:4 (2006), 481–491
Citation in format AMSBIB
\Bibitem{TesBud06}
\by V.~M.~Teshukov, A.~Budlal
\paper Subcritical and supercritical shear flows above an uneven bottom
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 4
\pages 26--38
\mathnet{http://mi.mathnet.ru/pmtf2166}
\elib{https://elibrary.ru/item.asp?id=16515899}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 4
\pages 481--491
\crossref{https://doi.org/10.1007/s10808-006-0080-6}
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  • https://www.mathnet.ru/eng/pmtf/v47/i4/p26
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