A velocity and length scale approach to {kappa}-{epsilon} modeling
- Allison Engine Co., Indianapolis, IN (United States). Heat Transfer Dept.
This paper describes a velocity and length scale approach to low Reynolds number {kappa}-{epsilon} modeling which formulates the eddy viscosity on the normal component of turbulence and a length scale. The normal component of turbulence is modeled based on the dissipation and distance from the wall and is bounded by the isotropic condition. The model accounts for the anisotropy of the dissipation and the reduced length of mixing due to the high strain rates present in the near wall region. The kinetic energy and dissipation rate were computed from the k and {epsilon} transport equations of Durbin. The model was tested for a wide range of turbulent flows and proved to be superior to other {kappa}-{epsilon} based models. In addition, the conventional eddy viscosity closure model, which provided a basis to the velocity and length scale closure model, is also presented. The model is formulated by combining the {kappa} and {epsilon} transport equations of Durbin and the eddy viscosity formulation of Yang and Shih. This kinetic energy and time based formulation of eddy viscosity closure modeling features a singularity-free wall condition and provides good prediction capability compared to conventional low Reynolds number {kappa}-{epsilon} models.
- Sponsoring Organization:
- National Aeronautics and Space Administration, Washington, DC (United States)
- OSTI ID:
- 455401
- Report Number(s):
- CONF-951135--; ISBN 0-7918-1752-0
- Country of Publication:
- United States
- Language:
- English
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