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

doi:10.1007/BF00874479

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 journal › Article › peer-review

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 language	English (US)
Pages (from-to)	43-60
Number of pages	18
Journal	Pure and Applied Geophysics PAGEOPH
Volume	131
Issue number	1-2
DOIs	https://doi.org/10.1007/BF00874479
State	Published - Mar 1989

Keywords

Fractals
energy and scalar dissipation
interfaces
multifractals
turbulent flows

ASJC Scopus subject areas

Geophysics
Geochemistry and Petrology

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10.1007/BF00874479

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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.",

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AU - Sreenivasan, K. R.

AU - Prasad, R. R.

AU - meneveau, C.

AU - Ramshankar, R.

PY - 1989/3

Y1 - 1989/3

N2 - 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.

AB - 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.

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KW - energy and scalar dissipation

KW - interfaces

KW - multifractals

KW - turbulent flows

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

Abstract

Keywords

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