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The motion of solid spherical particles falling in a cellular flow field at low Stokes number
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10.1063/1.4895736
Abstract
We present a jointed experimental and numerical study examining the influence of vortical structures on the settling of solid spherical particles under the action of gravity at low Stokes numbers. The two-dimensional model experiment uses electroconvection to generate a two-dimensional array of controlled vortices which mimics a simplified vortical flow. Particle image-velocimetry and tracking are used to examine the motion of the particles within this vortical flow. Particle motion is compared to the predictions of a numerical simulation inspired by the model equation developed by Maxey [“The motion of small spherical particles in a cellular flow field,” Phys. Fluids30, 1915 (1987)].
© 2014 AIP Publishing LLC
Received 10 April 2014
Accepted 08 August 2014
Published online 22 September 2014
Acknowledgments: This work was undertaken under the auspices of ANR project “Collective Dynamics of Settling Particles In Turbulence” (ANR-12-BS09-0017-01), CNRS PICS project “Experimental and numerical study of finite-inertia effects in sedimenting suspensions” (CNRS-PICS05848), “Laboratoire d’Excellence Mécanique et Complexité” (ANR-11-LABX-0092), and “Initiative d’Excellence” A*MIDEX (ANR-11-IDEX-0001-02). It benefited from the stay of A. Martin in our laboratory and from the help of F. Candelier in implementing the history force. It also benefited from discussions with E. Climent, A. Daitche, O. du Roure, A. Lindner, M. R. Maxey, A. Pocheau, and A. Soldati.
Article outline:
I. INTRODUCTION
II. EXPERIMENTS
III. MODELING
IV. PARTICLE MOTIONS
A. Stokes regime St ≲ 0.01 and Re k < 1
B. Weak inertia 0.01 ≲ St < 0.1 and Re k ≈ 6 − 8
C. Influence of the history force
V. CONCLUSION
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2014-09-22
2014-10-27
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