A New K-Epsilon Eddy Viscosity Model for High Reynolds Number Turbulent Flows: Model Development and Validation

By National Aeronautics and Space Administration

A new k-epsilon eddy viscosity model, which consists of a new model dissipation rate equation and a new realizable eddy viscosity formulation, is proposed. The new model dissipation rate equation is based on the dynamic equation of the mean-square vorticity fluctuation at large turbulent Reynolds number. The new eddy viscosity formulation is based on the realizability constraints: the positivity of normal Reynolds stresses and Schwarz' inequality for turbulent shear stresses. We find that the present model with a set of unified model coefficients can perform well for a variety of flows. The flows that are examined include: (1) rotating homogeneous shear flows; (2) boundary-free shear flows including a mixing layer, planar and round jets; (3) a channel flow, and flat plate boundary layers with and without a pressure gradient; and (4) backward facing step separated flows. The model predictions are compared with available experimental data. The results from the standard k-epsilon eddy viscosity model are also included for comparison. It is shown that the present model is a significant improvement over the standard k-epsilon eddy viscosity model. Shih, T.-H. and Liou, W. W. and Shabbir, A. and Yang, Z. and Zhu, J. Glenn Research Center NCC3-233; RTOP 505-90-5K...

• Format: Paperback
• Language: English
• ISBN: 1729057543
• ISBN13: 9781729057544
• Release Date: January 1
• Publisher: Independently Published
• Length: 36 Pages
• Weight: 0.24 lbs.
• Dimensions: 0.1" x 8.5" x 11.0"