Das Taylorsche Stabilitätsproblem mit Modulation

Abstract

The stability of the time-dependent flow between two concentric circular cylinders is considered, whereby the angular velocity of the inner cylinder is modulated sinusoidally. The initial value problem of the corresponding linearized differential equations for the perturbations is solved by means of the Galerkin method. The convergence of this method follows from an earlier investigation [4]. The behavior in time of the perturbations is studied as a function of the modulation frequency. The results agree with experiments of Donnelly [3]. © 1966 Birkhäuser Verlag.