The Effect of the Turbulence Coefficient on the Formation of a Turbulent Process: 2. Existing Scenarios for the Occurrence and Development of Turbulence

Abstract

Some characteristic features of three scenarios for the occurrence and development of turbulenceare presented: the Landau-Hopf scenario, the scenario of transition to turbulence on a strange attractor, andthe scenario followed by the solutions of the multimoment hydrodynamics equations. The analysis of the presentedcharacteristic features allows us to conclude that these scenarios can be used to interpret turbulence.It is shown that only one of the scenarios satisfactorily interprets the experimental data: the scenario followedby the solutions of the multimoment hydrodynamics equations supplemented with stochastic components.The Landau-Hopf scenario leads to a system that has lost stability in the wrong direction. The scenario of thetransition to turbulence on a strange attractor correctly reproduces only the initial stage of the evolution ofthe liquid layer in the Bénard experiment, namely, heat transfer in the resting layer and convective shafts.Analysis of the behavior of solutions of the Lorentz model leaves no hope for the ability of this scenario tointerpret turbulence