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  • Open Access

Capturing Velocity Gradients and Particle Rotation Rates in Turbulence

Leonhard A. Leppin1,2,3 and Michael Wilczek1,2,*

  • 1Max Planck Institute for Dynamics and Self-Organization (MPI DS), Am Faßberg 17, 37077 Göttingen, Germany
  • 2Faculty of Physics, Georg-August-Universität Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany
  • 3Max Planck Institute for Plasma Physics, Boltzmannstraße 2, 85748 Garching, Germany

  • *michael.wilczek@ds.mpg.de
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Phys. Rev. Lett. 125, 224501 – Published 25 November, 2020

DOI: https://doi.org/10.1103/PhysRevLett.125.224501

Abstract

Turbulent fluid flows exhibit a complex small-scale structure with frequently occurring extreme velocity gradients. Particles probing such swirling and straining regions respond with an intricate shape-dependent orientational dynamics, which sensitively depends on the particle history. Here, we systematically develop a reduced-order model for the small-scale dynamics of turbulence, which captures the velocity gradient statistics along particle paths. An analysis of the resulting stochastic dynamical system allows pinpointing the emergence of non-Gaussian statistics and nontrivial temporal correlations of vorticity and strain, as previously reported from experiments and simulations. Based on these insights, we use our model to predict the orientational statistics of anisotropic particles in turbulence, enabling a host of modeling applications for complex particulate flows.

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Phys. Rev. Lett. 125, 224501– Published 25 November, 2020
  • Received 6 May 2020
  • Revised 15 September 2020
  • Accepted 26 September 2020
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

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