Numerical computation of time-dependent Taylor-vortex flows in finite-length geometries

Abstract

The time-dependent Navier-Stokes equations are integrated numerically for a finite-length concentric-cylinder geometry. The motion is initiated by an impulsive start of the inner cylinder from a state of rest. The transient development of a Taylor-vortex structure is discussed from the standpoint of the amplitude history, the onset time and vortex-front propagation; steady-state results are compared with previously published experimental results.