Probability density function of a passive scalar gradient

    Authors

    B. K. Shivamoggi;R. A. Antonia

    Comments

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    Abbreviated Journal Title

    Phys. Lett. A

    Keywords

    FULLY-DEVELOPED TURBULENCE; ISOTROPIC TURBULENCE; TEMPERATURE-FLUCTUATIONS; UNIFIED FORMULATION; VELOCITY-GRADIENTS; GRID; TURBULENCE; SHEAR FLOWS; DISSIPATION; STATISTICS; FIELDS; Physics, Multidisciplinary

    Abstract

    Fractal and multi-fractal models are used to derive the probability density function (PDF) for the gradient of a passive scalar diffusing in a random velocity field. Although the PDF is symmetrical, it is non-Gaussian and compares reasonably well with the measured PDF. In the process, we also provide a unified systematic framework to derive the appropriate scalar microscales for the following regimes: inertial-diffusive range; viscous-convective range; viscous-diffusive range. (C) 2000 Elsevier Science B.V. All rights reserved.

    Journal Title

    Physics Letters A

    Volume

    274

    Issue/Number

    3-4

    Publication Date

    1-1-2000

    Document Type

    Article

    Language

    English

    First Page

    152

    Last Page

    161

    WOS Identifier

    WOS:000089551900009

    ISSN

    0375-9601

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