A three-dimensional law-of-the-wall including skewness and roughness effects
Abstract
A formulation for the mixing length is proposed that includes velocity profile skewness in three-dimensional boundary layer flows. The formulation produces results in an anisotropic behavior of the eddy viscosities in the streamwise and cross-flow directions. The boundary layer flow over an infinite swept wing is calculated by a finite difference method and then compared with available experimental data. In addition, a new three-dimensional law-of-the-wall is derived that encompasses skewness as well as wall roughness effects. The ability of the new model to reproduce the skewing angle close to the wall is also evaluated in this context. In comparison with the conventional isotropic eddy viscosity formulation, the new formulation is seen as offering improved representation of certain features of three-dimensional boundary layer flows.
- Publication:
-
Three-Dimensional Turbulent Boundary Layers;
- Pub Date:
- 1982
- Bibcode:
- 1982tdtb.proc..325R
- Keywords:
-
- Boundary Layer Separation;
- Mixing Length Flow Theory;
- Swept Wings;
- Three Dimensional Boundary Layer;
- Turbulent Boundary Layer;
- Wall Flow;
- Cross Flow;
- Eddy Viscosity;
- Flow Velocity;
- Skewness;
- Surface Roughness Effects;
- Fluid Mechanics and Heat Transfer