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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2007, Volume 48, Issue 2, Pages 13–18 (Mi pmtf2007)  
New form of the equations of motion of a viscous fluid in Lagrangian variables

A. A. Abrashkin, E. I. Yakubovich

Institute of Applied Physics, Russian Academy of Sciences, Nizhnii Novgorod, 603000
Full-text PDF (202 kB)
Abstract: An equation is derived which describes the motion of an incompressible viscous fluid in Lagrangian variables. Velocity circulations over contours enclosing infinitesimal areas in each of the planes of the Lagrangian variables (Cauchy invariants) are taken to be unknown functions. Examples of exact solutions obtained using this method of flow description are analyzed.
Keywords: viscosity, Cauchy invariants, vorticity, Lagrangian variables.
Received: 10.03.2006
Accepted: 02.05.2006
English version:
Journal of Applied Mechanics and Technical Physics, 2007, Volume 48, Issue 2, Pages 153–158
DOI: https://doi.org/10.1007/s10808-007-0020-0
Bibliographic databases:
Document Type: Article
UDC: 532.516
Language: Russian
Citation: A. A. Abrashkin, E. I. Yakubovich, “New form of the equations of motion of a viscous fluid in Lagrangian variables”, Prikl. Mekh. Tekh. Fiz., 48:2 (2007), 13–18; J. Appl. Mech. Tech. Phys., 48:2 (2007), 153–158
Citation in format AMSBIB
\Bibitem{AbrYak07}
\by A.~A.~Abrashkin, E.~I.~Yakubovich
\paper New form of the equations of motion of a viscous fluid in Lagrangian variables
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2007
\vol 48
\issue 2
\pages 13--18
\mathnet{http://mi.mathnet.ru/pmtf2007}
\elib{https://elibrary.ru/item.asp?id=17249411}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2007
\vol 48
\issue 2
\pages 153--158
\crossref{https://doi.org/10.1007/s10808-007-0020-0}
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