Numéro
J. Phys. II France
Volume 3, Numéro 3, March 1993
Page(s) 271 - 278
DOI https://doi.org/10.1051/jp2:1993129
References of J. Phys. II France 3 271-278
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  17. It is not realistic to use a simple model of a tube-like vortical structure (stationary axisymmetric vortex solutions of the Euler equation or exact time-dependent axisymmetric vortex solutions of the Navier-Stokes equation), to estimate the pressure field distributions. First, vortical stuctures are generated from fully 3D-flows on a very short time-scale. Second, these simple models have velocity-increments within r linear in r, whereas velocity-increments of a 3D turbulent flow are in r$^\alpha$, with $\alpha$ = 1/3 in Kolmogorov picture and a distributed around 1/3 in experimental measurements. One has thus to invoke either time-dependence or a fancy spatial distribution which will completely modify the pressure scaling. The velocity-gradients being badly approximated, the above simple models must be quite off the mark for predictions about the pressure field.
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