Dissipative Effects on Inertial-Range Statistics at High Reynolds Numbers

Michael Sinhuber, Gregory P. Bewley, and Eberhard Bodenschatz
Phys. Rev. Lett. 119, 134502 – Published 29 September 2017
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Abstract

Using the unique capabilities of the Variable Density Turbulence Tunnel at the Max Planck Institute for Dynamics and Self-Organization, Göttingen, we report experimental measurements in classical grid turbulence that uncover oscillations of the velocity structure functions in the inertial range. This was made possible by measuring extremely long time series of up to 1010 samples of the turbulent fluctuating velocity, which corresponds to O(107) integral length scales. The measurements were conducted in a well-controlled environment at a wide range of high Reynolds numbers from Rλ=110 up to Rλ=1600, using both traditional hot-wire probes as well as the nanoscale thermal anemometry probe developed at Princeton University. An implication of the observed oscillations is that dissipation influences the inertial-range statistics of turbulent flows at scales significantly larger than predicted by current models and theories.

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  • Received 7 March 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.134502

© 2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Fluid Dynamics

Authors & Affiliations

Michael Sinhuber

  • Department of Civil and Environmental Engineering, Stanford University, Stanford, California 94305, USA

Gregory P. Bewley*

  • Department of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853, USA

Eberhard Bodenschatz

  • Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany, Institute for Nonlinear Dynamics, University of Goettingen, 37077 Göttingen, Germany, Department of Physics, Cornell University, Ithaca, New York 14853, USA, and Department of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853, USA

  • *gpb1@cornell.edu

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Issue

Vol. 119, Iss. 13 — 29 September 2017

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