Multivalued velocity field model of turbulence
Abstract
The considered study is based on new theoretical concepts regarding a postinstability model of a fluid discussed by Zak (1980). The model permits the completion of the governing equations of turbulence by introducing multivalued fields of velocities. Attention is given to the mechanism of energy dissipation, the characteristic wave propagation, a simplified model, the formation of turbulence around stagnation points, the formulation of boundary conditions, and the mechanism of turbulence formation. The mechanism of turbulence formation can be understood as propagation of initial discontinuities from the boundaries into a flow with the characteristic velocity which is defined by the normal (to the boundary) velocity components. These components emerge at the boundary as a result of jumps in the tangential components due to the continuity equation.
 Publication:

Mechanics Research Communications
 Pub Date:
 1981
 Bibcode:
 1981MeReC...8..125Z
 Keywords:

 Energy Dissipation;
 Inviscid Flow;
 Mathematical Models;
 Stagnation Point;
 Turbulence Models;
 Turbulent Flow;
 Velocity Distribution;
 Boundary Conditions;
 Boundary Value Problems;
 Continuity Equation;
 Continuum Mechanics;
 Flow Stability;
 Flow Theory;
 Fluid Mechanics and Heat Transfer