Abstract
An algebraic turbulent eddy viscosity model is proposed based on a length scale model coupled with the turbulent viscosity expression of the renormalization group theory of turbulence. The eddy viscosity is presented as a solution of a quartic equation. The new length scale model is based on boundary layer characteristics (displacement thickness, shape factor). The model is applied to transitional boundary layer flow over a flat plate and to flow in a smooth pipe. Predictions for the laminar-turbulent transition, and integral characteristics, such as the total skin friction coefficient, mean velocity profile across the boundary layer, and the friction coefficient in a pipe, are found to be in good agreement with experimental data.
| Original language | English |
|---|---|
| Pages (from-to) | 229-239 |
| Number of pages | 11 |
| Journal | Journal of Scientific Computing |
| Volume | 7 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Sep 1992 |
Keywords
- Eddy viscosity
- boundary layer
- pipe flow
- renormalization group
- turbulent flow
ASJC Scopus subject areas
- Software
- Theoretical Computer Science
- Numerical Analysis
- Engineering (all)
- Computational Theory and Mathematics
- Computational Mathematics
- Applied Mathematics