Self-oscillations in the laboratory periodic flow and the linear law for the dissipation rate in the single-frequency range

In this paper, a Reynolds number increase transition from self-oscillations close to single-frequency ones to the temporally chaotic regime in the flow in a cylindrical channel driven by a spatially periodic force with four half-periods is experimentally investigated. The parameter epsilon proportional to the mean rate of the kinetic energy dissipation in unit mass per unit time associated with perturbations in the fluid is used as a basic characteristic of self-oscillations. The Reynolds number dependence epsilon(Re) for single frequency self-oscillations is considered theoretically.