• Corpus ID: 119056438

New exact solution of the Navier-Stokes equations for turbulence in a compressible medium

  title={New exact solution of the Navier-Stokes equations for turbulence in a compressible medium},
  author={Sergey G.Chefranov and Artem S. Chefranov},
  journal={arXiv: Fluid Dynamics},
A new exact solution of the Navier-Stokes equation is derived for the compressible flows which are far from equilibrium in the limit of extremely low shear viscosity and relatively large volume viscosity. The closed description of the evolution of statistical moments of velocity is obtained, thereby bypassing the closure problem in the theory of turbulence. 

On the Incompressible Fluid Flow over the Prismatic Bodies

Abstract In the paper the unsteady incompressible fluid flow over the infinite and finite prismatic bodies is studied. Mathematically this problem is modeled as 3D Navier-Stokes equations (NSE) for

A note on viscous flow induced by half-line sources bounded by conical surfaces

In this article, axisymmetric solutions of the Navier–Stokes equations governing the flow induced by a half-line source when the fluid domain is bounded by a conical wall are discussed. Two types

Real gas flows issued from a source

Stationary adiabatic flows of real gases issued from a source of given intensity are studied. Thermodynamic states of gases are described by Legendrian or Lagrangian manifolds. Solutions of Euler

Axisymmetric free jet of Re → 0 from a round tube

An axisymmetric free jet of Reynolds number Re → 0 from a round tube is investigated in a theoretical way in order to elucidate pressure and velocity fields in the downstream of the tube exit. The

Singular Solutions in Nonlinear Models of Fluid Dynamics

  • M. Roop
  • Mathematics
    2018 Eleventh International Conference "Management of large-scale system development" (MLSD
  • 2018
Thermodynamic properties of submerged jets and exact solutions of Navier – Stokes equations are discussed. We use methods of geometry of differential equations to construct new exact solutions that



Exact Time-Dependent Solution to the Three-Dimensional Euler- Helmholtz and Riemann-Hopf Equations for Vortex Flow of a Compressible Medium and the Sixth Millennium Prize Problem

For the first time the exact vortex solution of the Cauchy problem in unbounded space is obtained for the three-dimensional Euler-Helmholtz (EH) equation in the case of a nonzero-divergence velocity

Existence and Smoothness of the Navier-Stokes Equation in Two and Three-Dimensional Euclidean Space

A solution to this problem has been unknown for years and the fact that it hasn’t been solved yet leaves a lot of unanswered questions regarding Engineering and Pure Mathematics. Turbulence is a

Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena

Abstract : Contents: Elements of gas dynamics and classical theory of shock waves; thermal radiation and radiant heat exchange in a medium; thermodynamic properties of gases at high temperatures;

EuroMech/Ercoftac Colloquium “Turbulence Cascades II

  • Dec, Ecole Centrale de Lyon, Lyon, France,
  • 2017

Physica D

  • 237
  • 2015