A nonequilibrium representation of the turbulent viscosity based on a two-scale turbulence theory
- 1 December 1993
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids A: Fluid Dynamics
- Vol. 5 (12) , 3302-3304
- https://doi.org/10.1063/1.858690
Abstract
A nonequilibrium expression of the turbulent viscosity in the Reynolds stress is proposed with the aid of the results from a two‐scale direct‐interaction approximation. The usual turbulent‐viscosity model based on the turbulent kinetic energy K and its dissipation rate ε is extended to include their nonequilibrium effects DK/Dt and Dε/Dt (D/Dt is the Lagrange derivative based on the mean velocity). The validity of the proposed model is confirmed through the test in homogeneous shear turbulence that is in a state of nonequilibrium in time. The relationship with the similar model presented by Taulbee [Phys. Fluids A 4, 2555 (1992)] is also discussed.Keywords
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