Title

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

Authors

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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