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Scaling of acceleration in locally isotropic turbulence

Published online by Cambridge University Press:  15 February 2002

REGINALD J. HILL
REGINALD J. HILL
Affiliation:
National Oceanic and Atmospheric Administration, Environmental Technology Laboratory, Boulder CO 80305-3328, USA
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Abstract

The variances of the fluid-particle acceleration and of the pressure-gradient and viscous force are given. The scaling parameters for these variances are velocity statistics measureable with a single-wire anemometer. For both high and low Reynolds numbers, asymptotic scaling formulas are given; these agree quantitatively with DNS data. Thus, the scaling can be presumed known for all Reynolds numbers. Fluid-particle acceleration variance does not obey K41 scaling at any Reynolds number; this is consistent with recent experimental data. The non-dimensional pressure-gradient variance named λT/λP is shown to be obsolete.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 452 , 10 February 2002 , pp. 361 - 370
Copyright
© 2002 Cambridge University Press

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