Formulation of turbulence mechanics

This paper presents a setup of turbulence mechanics for averaged description of turbulence, founded on laws of momentum, moment of momentum, and energy, complemented by common rheological principles for formulating constitutive relations between generalized forces and generalized velocities of the description. A kinematical-geometrical principle is adopted to determine internal rotating degrees of freedom of turbulent media generated by the eddy structure of turbulent flow fields. The connection between the formulated mechanics and some models (as K-epsilon model), widely used in practical engineering flow calculations, is established. As an example, the formulated mechanics is applied to describe some classical flow patterns.