Lognormality of the scalar dissipation pdf in turbulent flows

Werner Dahm, Kenneth A. Buch

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

It is shown that measurements of lower-dimensional projections of the scalar gradient in an isotropic conserved scalar field ζ(x,t) are sufficient to construct the probability density function (pdf) for the true scalar dissipation χ. With this general method, the true scalar dissipation pdf is obtained from the result reported recently for the approximate pdf based on |∇ζ|2 ≈ 3·(∂ζ/∂x)2. Results show that (i) the pdf of the true scalar dissipation is virtually lognormal and (ii) the most probable value of χ increases and the rms fluctuations of χ decrease in comparison with their one-dimensional estimates.

Original languageEnglish (US)
Pages (from-to)1290-1292
Number of pages3
JournalPhysics of Fluids A
Volume1
Issue number7
StatePublished - 1989
Externally publishedYes

Fingerprint

probability density functions
turbulent flow
Probability density function
Turbulent flow
dissipation
scalars
projection
gradients
estimates

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Physics and Astronomy(all)
  • Mechanics of Materials
  • Computational Mechanics
  • Fluid Flow and Transfer Processes

Cite this

Lognormality of the scalar dissipation pdf in turbulent flows. / Dahm, Werner; Buch, Kenneth A.

In: Physics of Fluids A, Vol. 1, No. 7, 1989, p. 1290-1292.

Research output: Contribution to journalArticle

Dahm, Werner ; Buch, Kenneth A. / Lognormality of the scalar dissipation pdf in turbulent flows. In: Physics of Fluids A. 1989 ; Vol. 1, No. 7. pp. 1290-1292.
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