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A New K-epsilon Eddy Viscosity Model for High Reynolds Number Turbulent Flows: Model Development and ValidationA 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.
Document ID
19950005029
Document Type
Technical Memorandum (TM)
Authors
Shih, T.-H.
(NASA Lewis Research Center Cleveland, OH, United States)
Liou, W. W.
(NASA Lewis Research Center Cleveland, OH, United States)
Shabbir, A.
(NASA Lewis Research Center Cleveland, OH, United States)
Yang, Z.
(NASA Lewis Research Center Cleveland, OH, United States)
Zhu, J.
(NASA Lewis Research Center Cleveland, OH, United States)
Date Acquired
September 6, 2013
Publication Date
August 1, 1994
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
CMOTT-94-6
NASA-TM-106721
ICOMP-94-21
NAS 1.15:106721
E-9087
Funding Number(s)
PROJECT: RTOP 505-90-5K
CONTRACT_GRANT: NCC3-233
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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