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

@article{GChefranov2019NewES, 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}, year={2019} }

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.

## 5 Citations

### On the Incompressible Fluid Flow over the Prismatic Bodies

- Mathematics, PhysicsInternational Journal of Physics
- 2022

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

- MathematicsThe Quarterly Journal of Mechanics and Applied Mathematics
- 2019

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

- Mathematics, PhysicsAnalysis and Mathematical Physics
- 2019

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

- PhysicsFluid Dynamics Research
- 2019

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

- Mathematics2018 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…

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