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(χr) of χr, or χ averaged over a distance r, is found to be closely log-normal over a significant range of r. The variance σ2 of lnχr follows the relation σ2 = A + μln(L/r), with μ= 0.35, where L is an integral scale of turbulence. High order moments, up to order 5, of χr 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(χr) but are consistent with the bounds given by Novikov's theory. It is suggested that the observed close agreement with log-normality of p(χr) may be misleading when sufficiently high order moments of χr are considered.

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

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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