Generalizable Theory of Reynolds Stress

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We generalize the Lagrangian transport theory to include the normal and shear Reynolds stresses, so that a complete tensor can be constructed. The ideology is based on imposition of the momentum and energy balance to a control volume moving at the local mean velocity, which bears the effect of de-coupling the mean from the fluctuation components. The resulting transport equations are verified, with available DNS data. Representation of the fluxes in this form leads to the dissipation scaling, which collapses the u′ 2, v′ 2 and uv gradient profiles for all Reynolds numbers. Addition of the energy spectra, derivable from the maximum entropy principle, completes the Reynolds stress theory, to fully prescribe the turbulence structures in canonical geometries.

Original languageEnglish (US)
Title of host publicationProgress in Turbulence IX - Proceedings of the iTi Conference in Turbulence, 2021
EditorsRamis Örlü, Alessandro Talamelli, Joachim Peinke, Martin Oberlack
PublisherSpringer Science and Business Media Deutschland GmbH
Pages237-243
Number of pages7
ISBN (Print)9783030807153
DOIs
StatePublished - 2021
Event9th iTi Conference on Turbulence, iTi 2021 - Virtual, Online
Duration: Feb 25 2021Feb 26 2021

Publication series

NameSpringer Proceedings in Physics
Volume267
ISSN (Print)0930-8989
ISSN (Electronic)1867-4941

Conference

Conference9th iTi Conference on Turbulence, iTi 2021
CityVirtual, Online
Period2/25/212/26/21

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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