In rotating homogeneous decay, the prolate quadratic form associated with the normalized Reynolds (NR-) stress is elongated by a coupling between velocity fluctuations and the Coriolis acceleration. This paper shows that this well-known turbulence phenomenon is consistent with an algebraic anisotropic prestress (APS-) closure for the NR-stress that unifies the study of turbulent flows in rotating and non-rotating frames-of-reference. The APS-closure is a non-negative mapping of the NR-stress into itself and is, thereby, universally realizable for all turbulent flows.
- Fluids Engineering Division
Reynolds Stress Anisotropy in Rotating Homogeneous Decay
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Koppula, K, Be´nard, A, & Petty, C. "Reynolds Stress Anisotropy in Rotating Homogeneous Decay." Proceedings of the ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting: Volume 1, Symposia – Parts A, B, and C. Montreal, Quebec, Canada. August 1–5, 2010. pp. 1379-1384. ASME. https://doi.org/10.1115/FEDSM-ICNMM2010-31230
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