Volume 3, Issue 2, March 2017, Page: 6-12
Double Solutions of the Euler and Navier-Stokes Equations Process of Origination the Vorticity and Turbulence
L. I. Petrova, Moscow State University, Department of Computational Mathematics and Cybernetics, Moscow, Russia
Received: Oct. 29, 2016;       Accepted: Dec. 2, 2016;       Published: Mar. 21, 2017
DOI: 10.11648/j.fm.20170302.11      View  1409      Downloads  96
Abstract
The Euler and Navier-Stokes equations, which describe flow of fluids and gases, possess solutions of two types, namely, the solutions that are not functions (they depends not only on the variables) and the solutions that are discrete functions. The solutions of the first type describe a non-equilibrium state of a gas dynamic system. And the solutions of the second type describe a locally-equilibrium state of a gas dynamic system. The transition from the solutions of the first type to ones of the second type describe a transition of gas dynamic system from a non-equilibrium state to a locally-equilibrium state, and this process is accompanied by emergence of vorticity or turbulence.
Keywords
Skew-Symmetric Forms, Solutions of Two Types, Non-equilibrium State and Locally-Equilibrium, Emergence of Vorticity or Turbulence
To cite this article
L. I. Petrova, Double Solutions of the Euler and Navier-Stokes Equations Process of Origination the Vorticity and Turbulence, Fluid Mechanics. Vol. 3, No. 2, 2017, pp. 6-12. doi: 10.11648/j.fm.20170302.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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