The University of Southampton
University of Southampton Institutional Repository

Dissipative distinctions

Dissipative distinctions
Dissipative distinctions
There have been numerous studies concerning the possibility of self-similar scaling laws in fully developed turbulent shear flows, driven over the past half-century or so by the early seminal work of Townsend (1956, The Structure of Turbulent Shear Flow. Cambridge University Press). His and nearly all subsequent analyses depend crucially on a hypothesis about the nature of the dissipation, ?, of turbulence kinetic energy, k. It has usually been assumed (sometimes implicitly) that this is governed by the famous Kolmogorov relation ?=C?k3/2/L, where L is a length scale of the energy-containing eddies and C? is a constant. The paper by Dairay et al. (J. Fluid Mech. vol. 781, 2015, pp. 166–195) demonstrates, however, that, in the specific context of an axisymmetric wake, there can be regions where ? has a different behaviour, characterised by a C? that is not constant but depends on a varying local Reynolds number (despite the existence of a ?5/3 region in the spectra). This leads to fundamentally different scaling laws for the wake.
turbulance theory, wakes
0022-1120
1-4
Castro, I.
66e6330d-d93a-439a-a69b-e061e660de61
Castro, I.
66e6330d-d93a-439a-a69b-e061e660de61

Castro, I. (2016) Dissipative distinctions. Journal of Fluid Mechanics, 788, 1-4. (doi:10.1017/jfm.2015.630).

Record type: Article

Abstract

There have been numerous studies concerning the possibility of self-similar scaling laws in fully developed turbulent shear flows, driven over the past half-century or so by the early seminal work of Townsend (1956, The Structure of Turbulent Shear Flow. Cambridge University Press). His and nearly all subsequent analyses depend crucially on a hypothesis about the nature of the dissipation, ?, of turbulence kinetic energy, k. It has usually been assumed (sometimes implicitly) that this is governed by the famous Kolmogorov relation ?=C?k3/2/L, where L is a length scale of the energy-containing eddies and C? is a constant. The paper by Dairay et al. (J. Fluid Mech. vol. 781, 2015, pp. 166–195) demonstrates, however, that, in the specific context of an axisymmetric wake, there can be regions where ? has a different behaviour, characterised by a C? that is not constant but depends on a varying local Reynolds number (despite the existence of a ?5/3 region in the spectra). This leads to fundamentally different scaling laws for the wake.

Text
__soton.ac.uk_ude_PersonalFiles_Users_ra3n13_mydocuments_EPRINTS_CAstro Dissipative Distinctions.pdf - Accepted Manuscript
Download (91kB)

More information

Accepted/In Press date: October 2015
e-pub ahead of print date: 22 December 2015
Published date: February 2016
Keywords: turbulance theory, wakes
Organisations: Astronautics Group

Identifiers

Local EPrints ID: 385982
URI: http://eprints.soton.ac.uk/id/eprint/385982
ISSN: 0022-1120
PURE UUID: 46168000-5492-436d-9c94-ee3637aac6b0

Catalogue record

Date deposited: 27 Jan 2016 09:55
Last modified: 14 Mar 2024 22:25

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×