This article is cited in 1 paper

Scientific communications

Viscous liquid flows that are independent of the Reynolds number

Yu. D. Shmyglevskii

Moscow

Abstract: All solutions of the Navier–Stokes equations for stationary plane viscous fluid flow that are independent of the Reynolds number are investigated. All solutions with variable vorticity are given explicitly. Constant vorticity solutions are known to include an arbitrary harmonic function. Examples of analytic solutions of the latter type which satisfy adhesion conditions on a quadratic parabola and an ellipse are given.

UDC: 517.958:532.5

MSC: 76D99

Received: 24.11.1989

 English version: USSR Computational Mathematics and Mathematical Physics, 1990, 30:3, 220–223

Bibliographic databases:

• 
•