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 Friedmann-Keller 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 Millionshchikov-Loitsianskii 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