Abstract
Recent developments concerning the unsteady dynamic forces on a spherical particle at finite Reynolds number are reviewed for solid particles and clean micro-bubble. A particle frequency :response function and an energy transfer function are derived for a solid particle or a contaminated micro-bubble in gas or liquid flow. A simple, unified method for estimating the cut-off frequency, or cut-off size, of a solid particle or a contaminated bubble is developed. Particle motion in isotropic turbulence is examined. Responses of the tracer particle to integral length scale structure, to turbulence energy, and to Taylor micro-scale structure are discussed in terms of the particle turbulence diffusivity, the particle turbulence intensity, and the ensemble average of the second invariant of fluid turbulence deformation tensor evaluated on the particle trajectory.
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The author is grateful to R. J. Adrian and C. Kent for their encouragement and support in writing this paper. This work is supported by the Engineering Research Center (ERC) for Particle Science and Technology at the University of Florida, the National Science Foundation (EEC-9402989), and industrial partners of ERC.
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Mei, R. Velocity fidelity of flow tracer particles. Experiments in Fluids 22, 1–13 (1996). https://doi.org/10.1007/BF01893300
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DOI: https://doi.org/10.1007/BF01893300