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Abstract: The dynamics of neutrally buoyant particles transported by a turbulent flowis investigated for spherical particles with radii of the order of theKolmogorov dissipative scale or larger. The pseudo-penalisation spectral methodthat has been proposed by Pasquetti et al. 2008 is adapted to integratenumerically the simultaneous dynamics of the particle and of the fluid. Such amethod gives a unique handle on the limit of validity of point-particleapproximations, which are generally used in applicative situations. Analyticalpredictions based on such models are compared to result of very well resolveddirect numerical simulations. Evidence is obtained that Faxen corrections givedominant finite-size corrections to velocity and acceleration fluctuations forparticle diameters up to four times the Kolmogorov scale. The dynamics ofparticles with larger diameters is dominated by inertial-range physics, and isconsistent with predictions obtained from dimensional analysis.



Autor: Holger Homann, Jeremie Bec

Fuente: https://arxiv.org/







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