Abstract
Turbulent diffusion is an important research direction in the turbulent phenomenon.Phenomenological description of turbulent diffusion is a complex and still unsolved problem [1]- [2].This article devoted to mathematical model for the turbulent convective Diffusion in the Free Atmosphere.The main goal of this research is to build a mathematical apparatus for studying atmospheric turbulence, determining its main characteristics, influence of divergence and rotor operators on the particle velocity vector, processing pressure distribution, diffusion temperature and ideal gas particle concentration.Here real gases differ from their ideal model if their molecules have finite dimensions and between them are forced attraction at considerable distances and repulsion when the molecules approach each other.An ideal gas does not interact between particles and consists of point particles phenomena moving randomly or following Brownian motion.There are could be air, gas methane, helium, nitrogen, argon, propane, oxygen.Any real gas is closer to ideal when lower its pressure then higher its temperature.The introduced mathematical model has been described by using momentum conservation equation from which the Navier-Stokes initial value problem was solved by using vector analyse and mathematical physic methods.The three-dimensional particle velocity and the energy conservation law was determined and from which the scalar pressure distribution was found [3]- [4].Wherein the determined expression