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- Title
Twin forces: similarity between rotation and stratification effects on wall turbulence.
- Authors
Shengqi Zhang; Chao Sun
- Abstract
Can the similarity between rotation and stratification provide quantitative predictions for complex turbulence? In this work, we focus on plane Couette turbulence as the background flow, which allows us to eliminate the key differences between Rayleigh–Bénard and Taylor–Couette turbulence, and facilitates a quantitative mapping across many complex turbulent systems involving rotation, stratification and curvature effects. To characterize the separated or coupled effects of rotation and stratification, we introduce an overall Richardson number Riχ which is the sum of the Coriolis Richardson number Riθ and the buoyancy Richardson number RiT. When the Prandtl number Pr = 1, the heat and inertial-frame momentum transport almost coincide and mainly depend on Riχ and the Reynolds number, regardless of the specific ratio between Riθ and RiT. When Pr varies, the weighted average Nuχ of the transport coefficients can still remain approximately invariant in most cases. Furthermore, the large-scale structures in purely rotating and purely stratified cases exhibit strikingly similar features. These findings not only indicate a more reasonable analogy for the ultimate Taylor–Couette turbulence but also pave the way for developing new predictive models for natural and industrial processes.
- Subjects
TURBULENCE; RICHARDSON number; PRANDTL number; ROTATIONAL motion; REYNOLDS number; MANUFACTURING processes; TAYLOR vortices
- Publication
Journal of Fluid Mechanics, 2024, Vol 979, p1
- ISSN
0022-1120
- Publication type
Article
- DOI
10.1017/jfm.2023.1101