Technical Brief

Note on Turbulent Kinetic Energy Production for Reynolds-Averaged Navier–Stokes Models

[+] Author and Article Information
Solkeun Jee

United Technologies Research Center,
411 Silver Lane MS 129-89,
East Hartford, CT 06108
e-mail: solkeun.jee@utrc.utc.com

Gorazd Medic, Georgi Kalitzin

United Technologies Research Center,
411 Silver Lane MS 129-89,
East Hartford, CT 06108

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received November 4, 2015; final manuscript received May 23, 2016; published online July 15, 2016. Assoc. Editor: Praveen Ramaprabhu.

J. Fluids Eng 138(11), 114502 (Jul 15, 2016) (2 pages) Paper No: FE-15-1799; doi: 10.1115/1.4033750 History: Received November 04, 2015; Revised May 23, 2016

Linear eddy-viscosity Reynolds-Averaged Navier–Stokes (RANS) turbulence models are based on the Boussinesq approximation that asserts the Reynolds stresses to be linearly dependent on the mean strain rate. Using the Boussinesq approximation for the Reynolds stress yields a production term in the turbulent kinetic energy equation that is proportional to the square of the magnitude of the strain rate tensor. For some flows, this relation to the strain causes overproduction of turbulence. Widely used ad hoc modifications of the production term using vorticity lead to an inconsistent energy balance in the mean flow kinetic energy equation, violating the energy conservation. In this note, how to obtain a consistent RANS framework for a given production term modification is shown.

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