Log-normality of temperature dissipation in a turbulent boundary layer

R. A. Antonia, K. R. Sreenivasan

Research output: Contribution to journalArticle

Abstract

Using measurements of all three components of the temperature dissipation χ in a laboratory boundary layer, the measured probability density p(χ r) of χ r, or χ averaged over a distance r, is found to be closely log-normal over a significant range of r. The variance σ 2 of lnχ r follows the relation σ 2 = A + μln(L/r), with μ= 0.35, where L is an integral scale of turbulence. High order moments, up to order 5, of χ r show a power-law variation with r/L. With increasing order of the moment, the power-law exponents become increasingly smaller than the corresponding values implied by assumed log-normality of p(χ r) but are consistent with the bounds given by Novikov's theory. It is suggested that the observed close agreement with log-normality of p(χ r) may be misleading when sufficiently high order moments of χ r are considered.

Original languageEnglish (US)
Pages (from-to)1800-1804
Number of pages5
JournalPhysics of Fluids
Volume20
Issue number11
StatePublished - 1977

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normality
turbulent boundary layer
Boundary layers
Turbulence
dissipation
moments
Temperature
temperature
boundary layers
turbulence
exponents

ASJC Scopus subject areas

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

Cite this

Log-normality of temperature dissipation in a turbulent boundary layer. / Antonia, R. A.; Sreenivasan, K. R.

In: Physics of Fluids, Vol. 20, No. 11, 1977, p. 1800-1804.

Research output: Contribution to journalArticle

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