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Thermophysics and Aeromechanics

2002 year, number 2

General representation of two classes of exact solutions of Navier - Stokes equations for incompressible fluid

A.B. Ryskin
Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, Russia
Pages: 275-285

Abstract

A new family of the exact solutions of the Navier — Stokes equations for incompressible fluid is presented in the work. Within its framework, the problems of the fluid flow over one plane or between two infinite solid planes moving and rotating arbitrarily while remaining orthogonal to a fixed direction can be considered. The found family of the solutions includes as special cases two well-known families of the exact solutions of the Navier — Stokes equations: Karman