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Direct assessment of Kolmogorov's first refined similarity hypothesis

Direct assessment of Kolmogorov's first refined similarity hypothesis
Direct assessment of Kolmogorov's first refined similarity hypothesis

Using volumetric velocity data from a turbulent laboratory water flow and numerical simulations of homogeneous, isotropic turbulence, we present a direct experimental and numerical assessment of Kolmogorov's first refined similarity hypothesis based on three-dimensional measurements of the local energy dissipation rate ϵr measured at dissipative scales r. We focus on the properties of the stochastic variables VLu(r)/(r)1/3 and VT=Δv(r)/(r)1/3, where Δu(r) and Δv(r) are longitudinal and transverse velocity increments. Over one order of magnitude of scales r within the dissipative range, the distributions of VL and VT from both experiment and simulation collapse when parametrized by a suitably defined local Reynolds number, providing conclusive experimental evidence in support of the first refined similarity hypothesis and its universality.

2469-990X
1-7
Lawson, John M.
4e0b1895-51c5-41e6-9322-7f79e76e0e4c
Bodenschatz, Eberhard
e8658e96-6c7b-4385-94fa-a23fb68edeb5
Knutsen, Anna N.
43be9178-2d54-4263-a7e4-1e77351b1062
Dawson, James R.
3dbd6c72-4af6-462d-aea3-11659ac6f095
Worth, Nicholas A.
87d86a76-3f9f-4ab9-bd4f-f091e7650d75
Lawson, John M.
4e0b1895-51c5-41e6-9322-7f79e76e0e4c
Bodenschatz, Eberhard
e8658e96-6c7b-4385-94fa-a23fb68edeb5
Knutsen, Anna N.
43be9178-2d54-4263-a7e4-1e77351b1062
Dawson, James R.
3dbd6c72-4af6-462d-aea3-11659ac6f095
Worth, Nicholas A.
87d86a76-3f9f-4ab9-bd4f-f091e7650d75

Lawson, John M., Bodenschatz, Eberhard, Knutsen, Anna N., Dawson, James R. and Worth, Nicholas A. (2019) Direct assessment of Kolmogorov's first refined similarity hypothesis. Physical Review Fluids, 4 (2), 1-7, [022601]. (doi:10.1103/PhysRevFluids.4.022601).

Record type: Article

Abstract

Using volumetric velocity data from a turbulent laboratory water flow and numerical simulations of homogeneous, isotropic turbulence, we present a direct experimental and numerical assessment of Kolmogorov's first refined similarity hypothesis based on three-dimensional measurements of the local energy dissipation rate ϵr measured at dissipative scales r. We focus on the properties of the stochastic variables VLu(r)/(r)1/3 and VT=Δv(r)/(r)1/3, where Δu(r) and Δv(r) are longitudinal and transverse velocity increments. Over one order of magnitude of scales r within the dissipative range, the distributions of VL and VT from both experiment and simulation collapse when parametrized by a suitably defined local Reynolds number, providing conclusive experimental evidence in support of the first refined similarity hypothesis and its universality.

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e-pub ahead of print date: 5 February 2019
Published date: February 2019

Identifiers

Local EPrints ID: 430581
URI: http://eprints.soton.ac.uk/id/eprint/430581
ISSN: 2469-990X
PURE UUID: ec78f61b-b503-4c54-9509-83fa24dee9b5

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Date deposited: 03 May 2019 16:30
Last modified: 03 May 2019 16:30

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Contributors

Author: John M. Lawson
Author: Eberhard Bodenschatz
Author: Anna N. Knutsen
Author: James R. Dawson
Author: Nicholas A. Worth

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