New results on the fractal and multifractal structure of the large Schmidt number passive scalars in fully turbulent flows

K. R. Sreenivasan, Rahul R. Prasad

Research output: Contribution to journalArticle

Abstract

By measuring concentration fluctuations of a dye with very fine spatial and temporal resolution in typical unconfined turbulent water flows, we obtain the fractal dimension characteristic of the scalar interface in the range between Kolmogorov and Batchelor scales. We use one-dimensional intersection methods and invoke Taylor's hypothesis, but both of them are amply justified. We obtain a theoretical estimate for the fractal dimension by modifying our earlier arguments for finite (though large) Schmidt number effects. Finally, the multifractal characteristics of the scalar dissipation rate in the same scale range are also presented.

Original languageEnglish (US)
Pages (from-to)322-329
Number of pages8
JournalPhysica D: Nonlinear Phenomena
Volume38
Issue number1-3
DOIs
StatePublished - 1989

Fingerprint

Schmidt number
Passive Scalar
Fractal dimension
Turbulent Flow
Fractal Dimension
Fractals
turbulent flow
Turbulent flow
Fractal
fractals
Scalar
scalars
water flow
Dyes
temporal resolution
Range of data
intersections
Dissipation
dissipation
spatial resolution

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

New results on the fractal and multifractal structure of the large Schmidt number passive scalars in fully turbulent flows. / Sreenivasan, K. R.; Prasad, Rahul R.

In: Physica D: Nonlinear Phenomena, Vol. 38, No. 1-3, 1989, p. 322-329.

Research output: Contribution to journalArticle

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