The fractal geometry of interfaces and the multifractal distribution of dissipation in fully turbulent flows

K. R. Sreenivasan, R. R. Prasad, C. meneveau, R. Ramshankar

Research output: Contribution to journalArticle

Abstract

We describe scalar interfaces in turbulent flows via elementary notions from fractal geometry. It is shown by measurement that these interfaces possess a fractal dimension of 2.35±0.05 in a variety of flows, and it is demonstrated that the uniqueness of this number is a consequence of the physical principle of Reynolds number similarity. Also, the spatial distribution of scalar and energy dissipation in physical space is shown to be multifractal. We compare the f(α) curves obtained from one- and two-dimensional cuts in several flows, and examine their value in describing features of turbulence in the three-dimensional physical space.

Original languageEnglish (US)
Pages (from-to)43-60
Number of pages18
JournalPure and Applied Geophysics PAGEOPH
Volume131
Issue number1-2
DOIs
StatePublished - Mar 1989

Fingerprint

Fractal dimension
turbulent flow
Fractals
Spatial distribution
Turbulent flow
dissipation
fractals
Energy dissipation
Reynolds number
Turbulence
scalars
geometry
Geometry
uniqueness
energy dissipation
spatial distribution
turbulence
curves
flowable hybrid composite
distribution

Keywords

  • energy and scalar dissipation
  • Fractals
  • interfaces
  • multifractals
  • turbulent flows

ASJC Scopus subject areas

  • Geophysics
  • Geochemistry and Petrology
  • Earth and Planetary Sciences(all)
  • Environmental Science(all)

Cite this

The fractal geometry of interfaces and the multifractal distribution of dissipation in fully turbulent flows. / Sreenivasan, K. R.; Prasad, R. R.; meneveau, C.; Ramshankar, R.

In: Pure and Applied Geophysics PAGEOPH, Vol. 131, No. 1-2, 03.1989, p. 43-60.

Research output: Contribution to journalArticle

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