Measurement of Lagrangian velocity in fully developed turbulence

Details Measurement of Lagrangian velocity in fully developed turbulence Measurement of Lagrangian velocity in fully developed turbulence

2001-03-26

arxiv.org/abs/physics/0103084v2

Physics

Fluid Dynamics

4 pages, 5 figures. to appear in PRL

Scientific paper

10.1103/PhysRevLett.87.214501

We have developed a new experimental technique to measure the Lagrangian velocity of tracer particles in a turbulent flow, based on ultrasonic Doppler tracking. This method yields a direct access to the velocity of a single particule at a turbulent Reynolds number $R_{\lambda} = 740$. Its dynamics is analyzed with two decades of time resolution, below the Lagrangian correlation time. We observe that the Lagrangian velocity spectrum has a Lorentzian form $E^{L}(\omega) = u_{rms}^{2} T_{L} / (1 + (T_{L}\omega)^{2})$, in agreement with a Kolmogorov-like scaling in the inertial range. The probability density function (PDF) of the velocity time increments displays a change of shape from quasi-Gaussian a integral time scale to stretched exponential tails at the smallest time increments. This intermittency, when measured from relative scaling exponents of structure functions, is more pronounced than in the Eulerian framework.

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