dorsal/arxiv
View SchemaMeasurement of Lagrangian velocity in fully developed turbulence
| Authors | N. Mordant, P. Metz, O. Michel, J. -F. Pinton |
|---|---|
| Categories | |
| ArXiv ID | physics/0103084 |
| URL | https://arxiv.org/abs/physics/0103084 |
| DOI | 10.1103/PhysRevLett.87.214501 |
Abstract
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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"abstract": "We have developed a new experimental technique to measure the Lagrangian\nvelocity of tracer particles in a turbulent flow, based on ultrasonic Doppler\ntracking. This method yields a direct access to the velocity of a single\nparticule at a turbulent Reynolds number $R_{\\lambda} = 740$. Its dynamics is\nanalyzed with two decades of time resolution, below the Lagrangian correlation\ntime. We observe that the Lagrangian velocity spectrum has a Lorentzian form\n$E^{L}(\\omega) = u_{rms}^{2} T_{L} / (1 + (T_{L}\\omega)^{2})$, in agreement\nwith a Kolmogorov-like scaling in the inertial range. The probability density\nfunction (PDF) of the velocity time increments displays a change of shape from\nquasi-Gaussian a integral time scale to stretched exponential tails at the\nsmallest time increments. This intermittency, when measured from relative\nscaling exponents of structure functions, is more pronounced than in the\nEulerian framework.",
"arxiv_id": "physics/0103084",
"authors": [
"N. Mordant",
"P. Metz",
"O. Michel",
"J. -F. Pinton"
],
"categories": [
"physics.flu-dyn",
"physics.data-an"
],
"doi": "10.1103/PhysRevLett.87.214501",
"title": "Measurement of Lagrangian velocity in fully developed turbulence",
"url": "https://arxiv.org/abs/physics/0103084"
},
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