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

    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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