The theory of dissipation in turbulent flows of incompressible fluids
Abstract
The present paper considers a nonuniform turbulent motion arising as a perturbation from an initially uniform turbulent state in an unbounded, incompressible fluid. A class of exact solutions is found for a chain of FriedmannKeller equations which is linearized relative to an arbitrary uniform turbulent state. In the framework of this class of solutions, closed Reynolds equations are given for the perturbed mean velocities and pressures. An investigation is made of the stability of the MillionshchikovLoitsianskii solution for an isotropic turbulence. Consideration is also given to the case of a turbulent field with nonlinearity. Some estimates are given of the local characteristics of a flow in a turbulent boundary layer.
 Publication:

Turbulentnye techeniia
 Pub Date:
 October 1976
 Bibcode:
 1976TurTe...5...75Z
 Keywords:

 Dissipation;
 Incompressible Fluids;
 Isotropic Turbulence;
 Reynolds Equation;
 Turbulent Flow;
 Kolmogoroff Theory;
 Nonuniform Flow;
 Perturbation Theory;
 Richardson Number;
 Fluid Mechanics and Heat Transfer