A phenomenological model of the organized vortex in the two-dimensional mixing layer
Abstract
A phenomenological model is proposed to predict values of a deterministic and a stochastic part of the Reynolds stress in the two-dimensional mixing layer. In the model an organized large scale vortex in the layer is composed of a vortex sheet with a finite thickness rolled up to a spiral shape. This rolling motion is assumed to give the deterministic part. Turbulence within the sheet is analyzed by use of the Nee-Kovasznay model. This turbulence and a mean velocity profile within the sheet are assumed to give the stochastic part of the Reynolds stress. The geometrical shape of the sheet is assumed on the basis of flow visualization. The two parts of the Reynolds stress, averaged along a line parallel to the mean flow direction, are calculated. Results agree well with experiments particularly for the deterministic part.
- Publication:
-
Structure of turbulence in heat and mass transfer
- Pub Date:
- 1982
- Bibcode:
- 1982sthm.book..497T
- Keywords:
-
- Computational Fluid Dynamics;
- Mixing Layers (Fluids);
- Reynolds Stress;
- Turbulent Mixing;
- Two Dimensional Flow;
- Vortex Sheets;
- Flow Geometry;
- Flow Velocity;
- Shear Layers;
- Stochastic Processes;
- Fluid Mechanics and Heat Transfer