Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

Russian Russian English English About Journal | Issues | Editorial Board | Contact Us

IssuesArchive of Issues2015-6pp.566-571

Archive of Issues

Total articles in the database: 10440
In Russian (ΟΜΜ): 9641
In English (J. Appl. Math. Mech.): 799

<< Previous article | Volume 79, Issue 6 / 2015 | Next article >>
V.N. Golubkin, V.V. Markov, and G.B. Sizykh, "The integral invariant of the equations of motion of a viscous gas," J. Appl. Math. Mech. 79 (6), 566-571 (2015)
Year 2015 Volume 79 Issue 6 Pages 566-571
DOI 10.1016/j.jappmathmech.2016.04.002
Title The integral invariant of the equations of motion of a viscous gas
Author(s) V.N. Golubkin (Central Aerohydrodynamic Institute, Zhukovskii, Russia,
V.V. Markov (V.A. Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia,
G.B. Sizykh (Moscow Institute of Physics and Technology, Dolgoprudnyi, Russia,
Abstract An expression for the velocity of motion of a simple vortex contour for which the circulation of the fluid velocity is preserved in it is obtained in the general three-dimensional case for the flow of a viscous gas or liquid. The velocity of motion of the contour at each point is calculated from the values of the flow parameters and their derivatives at the same point. This result extends Thomson's theorem, which is well known for an ideal barotropic fluid. A previously unknown conservation property is found, which consists of the fact that the circumferential circulation of the swirling axisymmetric flow in the potential field of mass forces is the first integral of the equations of unsteady flow of a non-barotropic ideal gas.
Received 22 April 2015
Link to Fulltext
<< Previous article | Volume 79, Issue 6 / 2015 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 245, 119526 Moscow, Russia (+7 495) 434-2149
Founders: Russian Academy of Sciences, Ishlinsky Institute for Problems in Mechanics RAS
© Journal of Applied Mathematics and Mechanics
Rambler's Top100