Scalar dissipation rate and dissipative anomaly in isotropic turbulence

D. A. Donzis, K. R. Sreenivasan, P. K. Yeung

Research output: Contribution to journalArticle

Abstract

We examine available data from experiment and recent numerical simulations to explore the supposition that the scalar dissipation rate in turbulence becomes independent of the fluid viscosity when the viscosity is small and of scalar diffusivity when the diffusivity is small. The data are interpreted in the context of semi-empirical spectral theory of Obukhov and Corrsin when the Schmidt number, Sc, is below unity, and of Batchelor's theory when Sc is above unity. Practical limits in terms of the Taylor-microscale Reynolds number, Rλ, as well as Sc, are deduced for scalar dissipation to become sensibly independent of molecular properties. In particular, we show that such an asymptotic state is reached if RλSc1/2 ≫ 1 for Sc < 1, and if ln(Sc)/Rλ ≫ 1 for Sc < 1.

Original languageEnglish (US)
Pages (from-to)199-216
Number of pages18
JournalJournal of Fluid Mechanics
Volume532
DOIs
StatePublished - Jun 10 2005

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isotropic turbulence
Turbulence
dissipation
Viscosity
anomalies
scalars
diffusivity
unity
spectral theory
viscosity
Schmidt number
Reynolds number
molecular properties
microbalances
Fluids
Computer simulation
turbulence
fluids
Experiments
simulation

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Scalar dissipation rate and dissipative anomaly in isotropic turbulence. / Donzis, D. A.; Sreenivasan, K. R.; Yeung, P. K.

In: Journal of Fluid Mechanics, Vol. 532, 10.06.2005, p. 199-216.

Research output: Contribution to journalArticle

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