A new spectral theory of turbulence and heat transfer in stably stratified flows

S. Sukoriansky, B. Galperin, V. Perov

Research output: Contribution to journalConference articlepeer-review

Abstract

A new spectral theory of stably stratified turbulence has been developed based upon a quasi-Gaussian approximation and a self-consistent procedure of small-scale modes elimination. The theory gives effective anisotropic eddy diffusivity and viscosity; their anisotropization increases with the strength of stratification measured by or ✡ . While the horizontal mixing and momentum transport increase, their vertical counterparts decrease. Horizontal and vertical turbulent Prandtl numbers are computed as functions of or . The vertical Prandtl number, , increases with and is proportional to at large , in agreement with experimental data. This behaviour of reflects the effect of internal gravity waves which do not transport scalars such as the temperature but do transport momentum. The theory also yields analytical expressions for various 1D and 3D spectra including the Corrsin - Obukhov spectrum.

Original languageEnglish
Pages (from-to)483-486
Number of pages4
JournalProceedings of the International Symposium on Turbulence, Heat and Mass Transfer
Volume2006-September
DOIs
StatePublished - 1 Jan 2006
Event2006 International Symposium On Turbulence, Heat and Mass Transfer, THMT 2006 - Dubrovnik, Croatia
Duration: 25 Sep 200629 Sep 2006

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes

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