Contents: 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001

2021, 4

Sergey S. Voronkov

On turbulence in liquid

language: Russian

received 31.08.2021, published 08.10.2021

Download article (PDF, 603 kb)

ABSTRACT

Turbulence in liquids and gases is analyzed. Equations describing turbulence in Van der Waals gas are given. It is noted that when considering turbulence in liquids, as well as in gases, it is necessary to take into account the compressibility of the medium. The definition of turbulence in liquids and gases is given. The existence and smoothness of solutions of the Navier-Stokes equations are considered. It is shown that the discontinuous pressure behavior in a turbulent flow of liquid and gas follows not from the solutions of the Navier-Stokes equations in the approximation of the incompressibility of the medium, but from the solutions of a more general system of equations that take into account the compressibility and dissipation of energy.
Keywords: turbulence, Van der Waals gas, vector wave equation, Navier-Stokes equation.

7 pages, 2 figures

Сitation: Sergey S. Voronkov. On turbulence in liquid. Electronic Journal “Technical Acoustics”, http://www.ejta.org, 2021, 4.

REFERENCES

1. Loytsyanskiy L.G. Mechanics of liquid and gas. Ed. 5th. – M.: Nauka, 1978. – 736 p.
2. Voronkov S.S. On the turbulence in a viscous gas. Electronic journal "Technical Acoustics", http://www.ejta.org, 2021, 3.
3. Van Dyke M. Album of fluid and gas flows. – M.: Mir. 1986. – 184 p.
4. Cantwell B., Coles D., Dimotakis P. – J. Fluid Mech., 1978, 87, p. 641-672.
5. Kochin N.E., Kibel I.A., Rose N.V. Theoretical hydromechanics. Part two. – M-L.: State publishing house of technical and theoretical literature, 1948. – 612 p.
6. Vukalovich M.P. and Novikov I.I. Technical thermodynamics. – M.: Energiya, 1968. – 496 p.
7. Voronkov S.S. Generalization of the formula for the speed of sound in a viscous perfect gas to a Van der Waals gas. Bulletin of the Pskov State University. Series: Engineering Sciences. 2015. № 1. P. 111-115.
8. Voronkov S.S. On the mechanism of generation of vortex tubes in the boundary layer of a viscous gas. Electronic journal "Technical Acoustics", http://www.ejta.org, 2020, 2.
9. Krasilnikov V.A., Krylov V.V. Introduction to Physical Acoustics. – M.: Nauka. Main edition of physical and mathematical literature, 1984. – 400 p.
10. Existence and smoothness of solutions of the Navier-Stokes equations. – Wikipedia. https://ru.wikipedia.org/wiki/Существование_и_гладкость_решений_уравнений_Навье_—_Стокса
11. The Clay Mathematics Institute. https://claymath.org/
12. Ladyzhenskaya O.A. Mathematical problems in the dynamics of a viscous incompressible fluid. - 2nd ed. – Moscow: Nauka, 1970. – 288 p.
13. Temam R., Navier-Stokes Equations. Theory and numerical analysis. – M.: Mir, 1981. – 408 p.
14. Unsolved problems of modern physics. – Wikipedia. https://ru.wikipedia.org/wiki/Нерешённые_проблемы_современной_физики


 

Sergey S. Voronkov graduated from Leningrad Polytechnic Institute (Russia) in 1979, PhD. Presently he is docent at Pskov State University. Scientific area: hydrodynamics, nonlinear acoustics.

e-mail: voronkovss(at)yandex.ru