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Published on: October 5, 2018
Exact vectorial law for homogeneous rotating turbulence
1Institut d'Astrophysique Spatiale, Université Paris-Sud, Orsay, France.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2009
Summary
This study analyzes three-dimensional hydrodynamic turbulence, deriving an exact relation for flux conservation in rotating systems. The findings provide a unique expression for turbulence anisotropy, crucial for understanding fluid dynamics.
Area of Science:
- Fluid Dynamics
- Turbulence Theory
- Statistical Mechanics
Background:
- Hydrodynamic turbulence is a complex phenomenon crucial in many scientific and engineering fields.
- Understanding turbulence under rotation and anisotropy is essential for accurate modeling.
- Previous kinematic approaches provide a foundation for analyzing turbulent flows.
Purpose of the Study:
- To investigate three-dimensional hydrodynamic turbulence under homogeneity and weak axisymmetry.
- To derive an exact relation for flux conservation in rotating turbulent flows.
- To develop a parametrized vectorial law for turbulence anisotropy.
Main Methods:
- Rewriting the von Kármán-Howarth equation using measurable correlations.
- Analyzing the flux conservation relation for turbulence under solid-body rotation.
- Developing an ansatz for anisotropy and deriving a vectorial law.
Main Results:
- An exact relation for flux conservation in rotating turbulence was derived.
- A unique vectorial law for turbulence anisotropy was established.
- The intensity of anisotropy was determined through dimensional analysis.
Conclusions:
- The study provides a novel framework for analyzing anisotropic turbulence.
- The derived relations offer precise tools for modeling turbulent flows.
- This work advances the understanding of fundamental turbulence dynamics.
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