Joint Statistics of the Lagrangian Acceleration and Velocity in Fully Developed Turbulence

Alice M. Crawford, Nicolas Mordant, and Eberhard Bodenschatz
Phys. Rev. Lett. 94, 024501 – Published 18 January 2005

Abstract

We report experimental results on the joint statistics of the Lagrangian acceleration and velocity in highly turbulent flows. The acceleration was measured up to a microscale Reynolds number Rλ=690 using high speed silicon strip detectors from high energy physics. The acceleration variance was observed to be strongly dependent on the velocity, following a Heisenberg-Yaglom-like u9/2 increase. However, the shape of the probability density functions of the acceleration component conditioned on the same component of the velocity when normalized by the acceleration variance was observed to be independent of velocity and to coincide with the unconditional probability density function of the acceleration components. This observation imposes a strong mathematical constraint on the possible functional form of the acceleration probability distribution function.

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  • Received 13 August 2004

DOI:https://doi.org/10.1103/PhysRevLett.94.024501

©2005 American Physical Society

Authors & Affiliations

Alice M. Crawford, Nicolas Mordant*, and Eberhard Bodenschatz

  • Laboratory of Atomic and Solid State Physics, Clark Hall, Cornell University, Ithaca, New York, USA

  • *Present address: Laboratoire de Physique Statistique, Ecole Normale Supérieure, Paris, France. Email: nmordant@ens.fr.

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Issue

Vol. 94, Iss. 2 — 21 January 2005

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