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

Abstract

Abstract The paper adopts an approach to predicting the laminar-turbulent transition onset, which is based on the hypothesis of a threshold “connection” of the transverse viscosity factor and the subsequent transverse velocity components “generation”. In the framework of this approach, certain empirical local transition conditions are proposed and imposed on the dimensionless invariant complexes that characterize the laminar flow under study. Based on these conditions, an analysis of the Poiseuille flow transition onset in the flat channel in the presence of the stationary velocity field periodic background perturbation is carried out. A comparison with the known experimental data is presented.