Transition to turbulence in Couette ow

摘要

This paper describes a study of transition in Couette flow initiated byrnthe transient growth mechanism. It is shown that four modes obtainedrnanalytically are sufficient to model the transient growth. The analyticalrnapproximation allows performing a secondary stability analysis ofrnthe modified baseflow consisting of the Couette flow and a transientrngrowth perturbation. The predictions of the secondary stability analysisrnare verified by checking whether transition occurs in a direct numericalrnsimulation (DNS) initiated by the analytical expressions. Finally, therncapability of the analytical expressions to capture some of the transitionrnstages is tested.