Volume 68, Number 4, November 2004
|Page(s)||529 - 535|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||27 October 2004|
Statistics of particle pair separations in the elastic turbulent flow of a dilute polymer solution
Department of Physics of Complex Systems - Rehovot, 76100 Israel
2 Department of Physical Services, Weizmann Institute of Science Rehovot, 76100 Israel
Accepted: 15 September 2004
We investigate experimentally the statistics of a chaotic flow of a dilute polymer solution in a regime of elastic turbulence by using the Lagrangian coordinates approach. We show that due to flow smoothness at small scales the Finite Time Lyapunov Exponent (FTLE) technique can be successfully used to investigate the statistics of particle pair separations at different scales. We compare the measured FTLE with the characteristics of statistical description in the Eulerian coordinate presentation, namely the velocity correlation times and the average velocity gradients. We characterize the flow intermittency by measuring high-order moments of the statistics of the particle pair separations.
PACS: 47.50.+d – Non-Newtonian fluid flows / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 47.52.+j – Chaos
© EDP Sciences, 2004
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