The analysis of the laminar-turbulent transition onset for the Couette flow in the flat channel with the velocity profile periodic background perturbation

Abstract

Abstract To predict the laminar-turbulent transition, we adopted an approach, which is based on the transverse viscosity factor threshold addition hypothesis. Taking into account the conditions imposed on the corresponding dimensionless complexes within the framework of this approach, we analysed the transition onset for the Couette flow in the flat channel with consideration of the velocity field perturbation initial periodic background. The critical value for the Reynolds number was obtained, which is in satisfactory agreement with the known experimental data.