Near-singular flow structure in small-scale turbulence

  • J. C. Vassilicos
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

Two aspects of turbulence are of pivotal importance to both the fundamentals and the applications of turbulence: (i) the relation of dissipation rates to molecular viscosity and diffusivities and (ii) the dispersive properties of turbulence. Both these aspects involve averages over an ensemble of ordered and disordered flow patterns. A future theory of such averages may presumably require some understanding of the dissipative and dispersive properties of the particular classes of flow patterns that we may expect to find in turbulent flows. It is the object of this paper to give a summary overview of some research carried out in this preliminary direction: the understanding of the dissipative and dispersive properties of local flow structures, and by recourse to a choice of assumptions at this stage, the relation of these local properties to global statistics.

Keywords

Fractal Dimension Flow Structure Dissipation Rate Spiral Structure Inertial Range 
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© Springer Basel AG 1999

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  • J. C. Vassilicos

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