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Journal Article

Path Lengths in Turbulence

MPS-Authors
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Ouellette,  Nicholas T.
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Bodenschatz,  Eberhard       
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

/persons/resource/persons173713

Xu,  Haitao
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Ouellette, N. T., Bodenschatz, E., & Xu, H. (2011). Path Lengths in Turbulence. Journal of Statistical Physics, 145(1), 93-101. doi:10.1007/s10955-011-0323-7.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-1161-7
Abstract
By tracking tracer particles at high speeds and for long times, we study the geometric statistics of Lagrangian trajectories in an intensely turbulent laboratory flow. In particular, we consider the distinction between the displacement of particles from their initial positions and the total distance they travel. The difference of these two quantities shows power-law scaling in the inertial range. By comparing them with simulations of a chaotic but non-turbulent flow and a Lagrangian Stochastic model, we suggest that our results are a signature of turbulence.