A theory of interaction between dissipation and dispersion for turbulence
Abstract
A theory of the interaction between dissipation and dispersion in turbulence is presented. Based on a stability analysis of the turbulent flow, the relation between the destabilizing factors and the turbulent energy production is established. Two co-exiting momentum equations of turbulent flow, one for strong vorticity and one for weak vorticity, are derived. Typical turbulence problems are numerically computed, and calculations of the coherent patterns in boundary layers and the energy inversion within a complex vortex tail are provided. The presented theory is found to possess good generality and to give a reasonable explanation of the physical meaning of turbulence.
- Publication:
-
Acta Aeronautica et Astronautica Sinica
- Pub Date:
- February 1985
- Bibcode:
- 1985AcAAS...6...38G
- Keywords:
-
- Energy Dissipation;
- Flow Stability;
- Flow Theory;
- Turbulent Flow;
- Vortices;
- Wave Dispersion;
- Computational Fluid Dynamics;
- Entropy;
- Kinetic Energy;
- Momentum Transfer;
- Solitary Waves;
- Turbulent Boundary Layer;
- Fluid Mechanics and Heat Transfer