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.
| Published in | Fluid Mechanics (Volume 3, Issue 2) |
| DOI | 10.11648/j.fm.20170302.11 |
| Page(s) | 6-12 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
Skew-Symmetric Forms, Solutions of Two Types, Non-equilibrium State and Locally-Equilibrium, Emergence of Vorticity or Turbulence
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APA Style
L. I. Petrova. (2017). Double Solutions of the Euler and Navier-Stokes Equations Process of Origination the Vorticity and Turbulence. Fluid Mechanics, 3(2), 6-12. https://doi.org/10.11648/j.fm.20170302.11
ACS Style
L. I. Petrova. Double Solutions of the Euler and Navier-Stokes Equations Process of Origination the Vorticity and Turbulence. Fluid Mech. 2017, 3(2), 6-12. doi: 10.11648/j.fm.20170302.11
AMA Style
L. I. Petrova. Double Solutions of the Euler and Navier-Stokes Equations Process of Origination the Vorticity and Turbulence. Fluid Mech. 2017;3(2):6-12. doi: 10.11648/j.fm.20170302.11
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Download@article{10.11648/j.fm.20170302.11,
author = {L. I. Petrova},
title = {Double Solutions of the Euler and Navier-Stokes Equations Process of Origination the Vorticity and Turbulence},
journal = {Fluid Mechanics},
volume = {3},
number = {2},
pages = {6-12},
doi = {10.11648/j.fm.20170302.11},
url = {https://doi.org/10.11648/j.fm.20170302.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.fm.20170302.11},
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.},
year = {2017}
}
TY - JOUR T1 - Double Solutions of the Euler and Navier-Stokes Equations Process of Origination the Vorticity and Turbulence AU - L. I. Petrova Y1 - 2017/03/21 PY - 2017 N1 - https://doi.org/10.11648/j.fm.20170302.11 DO - 10.11648/j.fm.20170302.11 T2 - Fluid Mechanics JF - Fluid Mechanics JO - Fluid Mechanics SP - 6 EP - 12 PB - Science Publishing Group SN - 2575-1816 UR - https://doi.org/10.11648/j.fm.20170302.11 AB - 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. VL - 3 IS - 2 ER -
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