Backwards and forwards relative dispersion in turbulent flow: an experimental investigation

Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Jul;74(1 Pt 2):016304. doi: 10.1103/PhysRevE.74.016304. Epub 2006 Jul 27.

Abstract

From particle tracking velocimetry we present an experimental measure of the ratio between backwards and forwards relative dispersion in an intermediate Reynolds number turbulent flow. Lack of time-reversal symmetry implies that their ratio may be different from 1. From a stochastic model, this has recently been studied by Sawford et al [Phys. Fluids 17, 095109 (2005)] giving ratios between 5 and 20. We find a value of approximately 2 and discuss it in the context of the characteristics of the rate of strain tensor s(ij). An analysis of a direct numerical simulation by Biferale et al [Phys. Rev. Lett. 93, 064502 (2004) and Phys. Fluids 17, 021701 (2004)] gives the same result.