Investigation of the laminar-turbulent transition on the basis of exact solutions of the axisymmetric Navier-Stokes equations
In this paper we obtain (formally) a general solution of the axisymmetric Navier-Stokes equations and a class of exact solutions is identified, on the basis of which a laminar-turbulent transition (LTP) model is considered. In this LTP model, the Feigenbaum scenario is considered, according to which a cascade of doubling periods of self-oscillations arises in the Navier-Stokes system of equations. A model of the description of transient and turbulent flows in a pipe is presented, a comparison with existing semiempirical results.