Stabileco de du-dimensia fluo de Szymanski

Abstract

Stability of two-dimensional Szymanski flow
Stability of a two-dimensional transient flow of an incompressible viscous fluid is investigated by the method of small oscillations. The basic flow is such that the fluid begins to move from rest between two parallel and infinitely large planes under a pressure of constant gradient applied along them and eventually attains the parabolic velocity distribution.
By the use of Lin’s procedure the relation between the Reynolds number of the basic flow and the wave number of the antisymmetrical neutral oscillation (the neutral curve of stability) and also the minimum critical Reynolds number are calculated numerically for each of five representative stages of the transient flow, and the variation of its stability characteristics is discussed.