Title

Multi-fractal formulation of compressible fully developed turbulence: Parabolic-profile approximation for the singularity spectrum

Authors

Authors

B. K. Shivamoggi

Comments

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Abbreviated Journal Title

Ann. Phys.

Keywords

EXTENSIVE STATISTICAL-MECHANICS; ISOTROPIC TURBULENCE; INTERMITTENCY; LAWS; Physics, Multidisciplinary

Abstract

A parabolic-profile approximation (PPA) for the singularity spectrum D(h) in the multi-fractal model for compressible fully developed turbulence (FDT) is considered and is then extrapolated to the Kolmogorov microscale regime. The generalization of Kolmogorov's "4/5th law" relating the third-order velocity structure function to the mean energy dissipation rate epsilon to compressible FDT is considered. The PPA is also shown to afford, unlike the generic multi-fractal model, an analytical calculation of probability distribution function (PDF) of velocity gradients and to describe intermittency corrections for this PDF that complement those provided by homogeneous-fractal model. (c) 2006 Elsevier Inc. All rights reserved.

Journal Title

Annals of Physics

Volume

322

Issue/Number

4

Publication Date

1-1-2007

Document Type

Article

Language

English

First Page

967

Last Page

976

WOS Identifier

WOS:000245525300009

ISSN

0003-4916

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