DYNAMICAL MODEL OF TURBULENT EDDIES

Abstract

Dynamical equations for the velocities and temperature fluctuations of turbulent eddies are presented. In the right side of the equation for the velocities are the external force, the turbulent force caused by interactions with larger-scale eddies, and the viscous force caused by interactions with smaller-scale eddies. The structure of the equation for the temperature fluctuations is analogous. The forces are specified on the basis of the well-known Wyld diagram technique of stochastic hydrodynamics so that the theory does not contain free parameters. The basic equations of the theory are approximately equivalent to Navier-Stokes equations and are particularly effective in the limit of very large Reynolds number. Turbulent convection is considered as an example of application of the basic equations.