Compressible turbulence: Multi-fractal scaling in the transition to the dissipative regime

    Authors

    B. K. Shivamoggi

    Comments

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    Abbreviated Journal Title

    Physica A

    Keywords

    Compressible turbulence; STATISTICAL-MECHANICS; ISOTROPIC TURBULENCE; SIMULATIONS; SPECTRUM; RANGE; FLOWS; LAWS; Physics, Multidisciplinary

    Abstract

    Multi-fractal scaling in the transition to the dissipative "regime for fully-developed compressible turbulence is considered. The multi-fractal power law scaling behavior breaks down for very small length scales thanks to viscous effects. However, the effect of compressibility is found to extend the single-scaling multi-fractal regime further into the dissipative range. In the ultimate compressibility limit, thanks to the shock waves which are the appropriate dissipative structures, the single-scaling regime is found to extend indeed all the way into the full viscous regime. This result appears to be consistent with the physical fact that vortices become more resilient and stretch stronger in a compressible fluid hence postponing viscous intervention. The consequent generation of enhanced velocity gradients in a compressible fluid appears to provide an underlying physical basis for the previous results indicating that fully-developed compressible turbulence is effectively more dissipative than its incompressible counterpart. (C) 2011 Elsevier B.V. All rights reserved.

    Journal Title

    Physica a-Statistical Mechanics and Its Applications

    Volume

    390

    Issue/Number

    9

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    1534

    Last Page

    1538

    WOS Identifier

    WOS:000289025900004

    ISSN

    0378-4371

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