Kinetic theory approach to twin plane jets turbulent mixing analysis

Abstract

Solutions of twin plane jets based upon a kinetic theory of turbulence are presented. They are obtained by the ensemble averages over the solution of the constructed probability density function in velocity space without using eddy viscosities. The probability density function of the fluid element's motion in the turbulence field is constructed by the integration of a Green's function over the source distributions according to the given boundary conditions. The calculated distributions of the various moments of momentum field are found to be in good agreement with the experimental data. The cross correlation of the fluctuations is described via the revealed joint probability density function of the different components of fluctuation. The behavior of the higher-order turbulent transporting terms is also explained via the distribution of the probability density function of the fluctuation component in the transported direction.