Qualitative Aspects Of Non-Equilibrium Statistical Distributions For Turbulent Flows

This paper puts forward the key features of plausible time-evolving statistical distributions of the Scale and Spin of eddies describing the phenomenon of turbulence. Statistical distributions generally describe the state of the system in equilibrium states but describing turbulent flows demands non-equilibrium statistics as there is energy dissipation due to viscosity of the fluid and variations in macroscopic properties of the system with time. The approach put forward proves to be highly advantageous to explain the variation of eddy scale using the Scale Displacement Equation. It ascertains a huge gain in understanding characteristics of the fluids subject to high Reynolds numbers. The phenomenon of Spin Interference which is responsible for the variation of eddy spin in the system is also described intensively. The put forth Scale and Spin statistics parametrized by time demonstrate some interesting features that are fundamentally linked to the behaviour of fluids.