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Temporally resolved measurements of heavy, rigid fibre translation and rotation in nearly homogeneous isotropic turbulence

Published online by Cambridge University Press:  02 February 2017

L. Sabban ,
A. Cohen  and
R. van Hout
L. Sabban
Affiliation:
Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel
A. Cohen
Affiliation:
Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel
R. van Hout*
Affiliation:
Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel
*
†Email address for correspondence: [email protected]
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Abstract

A two orthogonal view, holographic cinematography system (volume of $17\times 17\times 17~\text{mm}^{3}$) was used to measure three-dimensional fibre translational velocities, orientations and rotation rates in near homogeneous isotropic air turbulence (HIT). Flow characteristics were determined from temporally resolved particle image velocimetry measurements. Two sets of rigid, nylon fibres having the same nominal length (0.5 mm) but different diameters (13.7 and $19.1~\unicode[STIX]{x03BC}\text{m}$), were released in near HIT at a Taylor microscale Reynolds number of $Re_{\unicode[STIX]{x1D706}}\approx 130$ and tracked at more than five times the Kolmogorov frequency. The ratio of fibre length to the Kolmogorov length scale was 2.8 and the two sets were characterized by Stokes numbers of 1.35 and 2.44, respectively. As a result of increased inertia, the probability density functions (PDFs) of the fluctuating fibre translational velocities were narrower than the ones of the air and the fibre velocity autocorrelations decreased at a decreasing rate. While fibre orientations in the cameras’ frame of reference were random as a result of the strong turbulence, it was shown that fibres align with the flow to minimize drag. PDFs of the fibre rotation rates indicated the occurrence of extreme rotation rate events. Furthermore, increasing inertia lowered the normalized, mean squared fibre rotation rates in comparison to results obtained for neutrally buoyant fibres having the same aspect ratio and including the effect of preferential alignment. The present results compare well to direct numerical simulations including the effect of fibre inertia.

JFM classification

Turbulent Flows: Isotropic turbulence
Type
Papers
Information
Journal of Fluid Mechanics , Volume 814 , 10 March 2017 , pp. 42 - 68
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© 2017 Cambridge University Press 

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