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Small scale velocity jumps in shear turbulence
Adrian Staicu1, Willem van de Water
1Physics Department, Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, The Netherlands.
Physical Review Letters
|April 12, 2003
Summary
This study reveals that large-scale shear persists in strong turbulence down to the smallest scales. Velocity measurements show distinct patterns, indicating the presence of small-scale cliffs in the shear direction.
Area of Science:
- Fluid dynamics
- Turbulence research
- Statistical mechanics
Background:
- Understanding turbulence is crucial for many scientific and engineering fields.
- Sheared turbulence presents unique challenges due to anisotropic energy transfer.
- Previous studies have explored turbulence structures, but detailed analysis in sheared flows is ongoing.
Purpose of the Study:
- To investigate structure functions and turbulence structures in uniformly sheared strong turbulence.
- To determine the scale-to-scale energy transfer and persistence of large-scale shear.
- To analyze the asymmetry in velocity increments and identify signatures of small-scale structures.
Main Methods:
- Utilized an array of hot-wire velocity sensors for precise measurements.
- Analyzed structure functions and spatial velocity gradients.
- Examined velocity increments in both shear and perpendicular directions.
Main Results:
- Confirmed the persistence of large-scale shear down to the smallest turbulent scales.
- Observed a significant asymmetry between velocity increments in the shear direction and perpendicular to it.
- Identified scaling exponents tending to a constant in the shear direction, indicative of small-scale cliffs.
Conclusions:
- The findings demonstrate the enduring influence of large-scale shear on small-scale turbulence dynamics.
- The observed asymmetry and small-scale cliffs provide new insights into the anisotropic nature of sheared turbulence.
- This research offers valuable data for refining turbulence models and theories.