RAPID DISTORTION OF AXISYMMETRIC TURBULENCE.

K. R. Sreenivasan, R. Narasimha

Research output: Contribution to journalArticle

Abstract

A generalization of the isotropic theory of G. K. Batchelor and O. Proudman is developed to estimate the effect of sudden but arbitrary three-dimensional distortion on homogeneous, initially axisymmetric turbulence. The energy changes due to distortion are expressed in terms of the Fourier coefficients of an expansion in zonal harmonics of the two independent scalar functions that describe the axisymmetric spectral tensor. However, for two special but non-trivial forms of this tensor, which represent possibly the simplest kinds of non-isotropic turbulence and specify the angular distribution but not the wavenumber dependence, the energy ratios have been determined in closed form. The deviation of the ratio from its isotropic value is the product of a factor containing R, the initial value of the ratio of the longitudinal to the transverse energy component, and another factor depending only on the geometry of the distortion. Comparisons with available experimental data for the spectra and for the energy ratios show reasonable agreement.

Original languageEnglish (US)
Pages (from-to)497-516
Number of pages20
JournalJournal of Fluid Mechanics
Volume84
Issue numberpt 3
StatePublished - Jan 1 1978

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Turbulence
turbulence
Tensors
Angular distribution
zonal harmonics
tensors
energy
angular distribution
Geometry
scalars
deviation
expansion
coefficients
estimates
products
geometry

ASJC Scopus subject areas

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

Cite this

RAPID DISTORTION OF AXISYMMETRIC TURBULENCE. / Sreenivasan, K. R.; Narasimha, R.

In: Journal of Fluid Mechanics, Vol. 84, No. pt 3, 01.01.1978, p. 497-516.

Research output: Contribution to journalArticle

Sreenivasan, KR & Narasimha, R 1978, 'RAPID DISTORTION OF AXISYMMETRIC TURBULENCE.', Journal of Fluid Mechanics, vol. 84, no. pt 3, pp. 497-516.
Sreenivasan, K. R. ; Narasimha, R. / RAPID DISTORTION OF AXISYMMETRIC TURBULENCE. In: Journal of Fluid Mechanics. 1978 ; Vol. 84, No. pt 3. pp. 497-516.
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