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A new class of non-helical exact solutions of the Navier–Stokes equations

Vitalii Petrovich Kovalev, Eugenii Yurevich Prosviryakov

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki · 2020

doi:10.14498/vsgtu1814 (opens in a new tab)

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Abstract

The paper presents a new class of exact solutions for the Navier–Stokes equations. These solutions describe unsteady three-dimensional in velocities and two-dimensional in coordinates for a viscous incompressible fluid flow. The procedure for constructing an exact solution generalizes Trkal's method proposed for studying screw flows. The new class of exact solutions allows to describe non-hecical flows (the velocity vector forms a nonzero angle with the vorticity vector) and fluid flows existing in a finite time.

Abstract licence: CC BY

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