Journal of Fluid Mechanics

Transverse velocity increments in turbulent flow using the RELIEF technique

A. NOULLEZ a1, G. WALLACE a2, W. LEMPERT a2, R. B. MILES a2 and U. FRISCH a1
a1 Observatoire de la Côte d'Azur, BP 4229, 06304 Nice Cedex 4, France
a2 Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA


Non-intrusive measurements of the streamwise velocity in turbulent round jets in air are performed by recording short-time displacements and distorsions of very thin tagging lines written spanwise into the flow. The lines are written by Raman-exciting oxygen molecules and are interrogated by laser-induced electronic fluorescence (relief). This gives access to the spatial structure of transverse velocity increments without recourse to the Taylor hypothesis. The resolution is around 25 μm, less than twice the Kolmogorov scale η for the experiments performed (with Rλ[approximate]360–600).

The technique is validated by comparison with results obtained from other techniques for longitudinal or transverse structure functions up to order 8. The agreement is consistent with the estimated errors – a few percent on exponents determined by extended-self-similarity – and indicates significant departures from Kolmogorov (1941) scaling.

Probability distribution functions of transverse velocity increments Δu over separations down to 1:8η are reported for the first time. Violent events, with Δu comparable to the r.m.s. turbulent velocity fluctuation, are found to take place with statistically significant probabilities. The shapes of the corresponding lines suggest the effect of intense slender vortex filaments.

(Received June 6 1996)
(Revised December 9 1996)