Stochastic nature of turbulent flows and means for closed description of turbulence
Abstract
An explanation is given of the turbulence mechanism as a physical realization of the nonuniqueness of the four-dimensional solutions of the Navier-Stokes equations. It is shown that it is necessary and feasible to introduce, in a consistent manner, an additional probability measure for describing the set of possible random motions which arise from determinate boundary conditions and initial data. The introduction of the measure requires additional generalization of the fundamental empirical laws of mechanics. The principle of maximal stability of the stochastic characteristics of system motion can be used as such a generalization.
- Publication:
-
Turbulent Flows
- Pub Date:
- 1974
- Bibcode:
- 1974tufl.book..136L
- Keywords:
-
- Flow Equations;
- Navier-Stokes Equation;
- Stochastic Processes;
- Turbulent Flow;
- Laminar Flow;
- Partial Differential Equations;
- Probability Theory;
- Random Processes;
- Fluid Mechanics and Heat Transfer