Yu. V. Sheretov, “On the exact solutions of stationary quasi-hydrodynamic equations in cylindrical coordinates”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, Issue 1,Pages <nobr>85

This article is cited in 3 papers

Mathematical Modelling, Numerical Methods and Software Systems

On the exact solutions of stationary quasi-hydrodynamic equations in cylindrical coordinates

Yu. V. Sheretov

Tver State University, Tver

Abstract: Two new exact solutions of stationary quasi-hydrodynamic equations in cylindrical coordinates are constructed. First solution is common for Euler and Navier-Stokes systems. The second solution satisfies to Navier-Stokes system, but it is not exact solution for Euler equations. Both solutions describe vortex structures in the fluid.

Keywords: Euler and Navier-Stokes systems, quasi-hydrodynamic equations, cylindrical coordinates, exact solutions.

UDC: 517.95, 532.5

Received: 10.01.2017
Revised: 20.02.2017

DOI: 10.26456/vtpmk125