(129g) The Influence of Coriolis Acceleration On the Redistribution of Turbulent Kinetic Energy

The Reynolds-averaged Navier-Stokes (RANS-) equation for constant property Newtonian fluids is unclosed due to the explicit appearance of the normalized Reynolds (NR-) stress and the turbulent kinetic energy. All closure models for the normalized Reynolds stress (either algebraic or differential) should produce non-negative operators for all turbulent flows, including flows in rotating frames-of-reference. In this presentation, a recently developed algebraic closure for the NR-stress, referred to as the URAPS-closure (see Koppula et al., 2009, 2011), is used to calculate the influence of frame rotation on the components of the NR-stress for a wide range of Rossby numbers. The URAPS closure is formulated as a mapping of the NR-stress into itself and is, thereby, non-negative for all turbulent flows. For statistically stationary rotating channel flows, the low-order predictions of the NR-stress are consistent with previously published statistically stationary DNS simulations.  

Koppula, K.S., A. Bénard, and C. A.Petty, 2009, “Realizable Algebraic Reynolds Stress Closure”, 2009, Chemical Engineering Science, 64, 22, 16 November 2009, 4611-4624.

Koppula, K. S., A. Bénard, and C. A. Petty, 2011, “Turbulent Energy Redistribution in Spanwise RotatingChannel Flows”, Ind. Eng. Chem. Res., pubs.acs.org/IECR, dx.doi.org/ 10.1021/ie1020409.