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Intermittency and Critical Scaling in Annular Couette Flow
Kazuki Takeda1, Yohann Duguet2, Takahiro Tsukahara1
1Department of Mechanical Engineering, Tokyo University of Science, Chiba 278-8510, Japan.
Turbulence onset in subcritical shear flows was studied in annular Couette flow. A novel regime was found for small radius ratios, distinct from plane Couette flow dynamics.
Area of Science:
- Fluid dynamics
- Turbulence
- Critical phenomena
Background:
- Subcritical shear flows exhibit puzzling turbulence onset.
- Annular Couette flow with an inner moving rod is a relevant model system.
Purpose of the Study:
- Investigate turbulence onset in annular Couette flow.
- Identify novel flow regimes and analyze finite-size effects.
Main Methods:
- Direct numerical simulation of fluid flow.
- Analysis of finite-size effects by increasing domain perimeter.
- Statistical analysis of turbulent fraction and laminar gap distributions.
Main Results:
- A novel turbulent regime was identified for small radius ratios, lacking oblique bands.
- Finite-size effects were analyzed, showing a cross-over in scaling for wider domains.
- Turbulence onset dynamics resemble one-dimensional directed percolation with confinement frustration.
Conclusions:
- Annular Couette flow reveals a new turbulence regime distinct from plane Couette flow.
- Finite-size effects significantly influence turbulence statistics and scaling.
- The findings link fluid turbulence to concepts from statistical physics, like directed percolation.
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