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Related self-similar statistics of the turbulent/non-turbulent interface and the turbulence dissipation

Published online by Cambridge University Press:  25 May 2017

Y. Zhou  and
J. C. Vassilicos Open the ORCID record for J. C. Vassilicos [Opens in a new window]
Y. Zhou
Affiliation:
Turbulence, Mixing and Flow Control Group, Department of Aeronautics, Imperial College London, London SW7 2AZ, UK
J. C. Vassilicos*
Affiliation:
Turbulence, Mixing and Flow Control Group, Department of Aeronautics, Imperial College London, London SW7 2AZ, UK
*
†Email address for correspondence: j.c.vassilicos@imperial.ac.uk
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Abstract

The scalings of the local entrainment velocity $v_{n}$ of the turbulent/non-turbulent interface and of the turbulence dissipation rate are closely related to each other in an axisymmetric and self-similar turbulent wake. The turbulence dissipation scaling implied by the Kolmogorov equilibrium cascade phenomenology is consistent with a Kolmogorov scaling of $v_{n}$ whereas the non-equilibrium dissipation scaling reported for various turbulent flows in Vassilicos (Annu. Rev. Fluid Mech., vol. 47, 2015, pp. 95–114), Dairay et al. (J. Fluid Mech., vol. 781, 2015, pp. 166–195), Goto & Vassilicos (Phys. Lett. A, vol. 379 (16), 2015, pp. 1144–1148) and Obligado et al. (Phys. Rev. Fluids, vol. 1 (4), 2016, 044409) is consistent with a different scaling of  $v_{n}$ . We present results from a direct numerical simulation of a spatially developing axisymmetric and self-similar turbulent wake which supports this conclusion and the assumptions that it is based on.

JFM classification

Turbulent Flows: Turbulence simulation Turbulent Flows: Turbulence theory Turbulent Flows: Turbulent Flows

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Papers
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Journal of Fluid Mechanics , Volume 821 , 25 June 2017 , pp. 440 - 457
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© 2017 Cambridge University Press 

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