Physics – Fluid Dynamics
Scientific paper
2001-11-24
Physics
Fluid Dynamics
in press, J. Fluid Mech.; 7pages, 2 figures
Scientific paper
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 lambda-sub{T} /lambda-sub{P} is shown to be obsolete.
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