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Deviation-angle and trajectory statistics for inertial particles in turbulence
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Indian Institute of Science, India.
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
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Number of Authors: 6
2016 (English)In: Physical review. E, ISSN 2470-0045, E-ISSN 2470-0053, Vol. 94, no 6, 063112Article in journal (Refereed) Published
Abstract [en]

Small particles in suspension in a turbulent fluid have trajectories that do not follow the pathlines of the flow exactly. We investigate the statistics of the angle of deviation phi between the particle and fluid velocities. We show that, when the effects of particle inertia are small, the probability distribution function (PDF) P-phi of this deviation angle shows a power-law region in which P-phi similar to phi(-4). We also find that the PDFs of the trajectory curvature. and modulus theta of the torsion theta have power-law tails that scale, respectively, as P-kappa similar to kappa (-5/2), as kappa -> infinity, and P-phi similar to phi(-3), as theta -> infinity: These exponents are in agreement with those previously observed for fluid pathlines. We propose a way to measure the complexity of heavy-particle trajectories by the number N-I(t, St) of points (up until time t) at which the torsion changes sign. We present numerical evidence that n(I)(St) lim(t ->infinity) N-I(t, St)/t similar to St(-Delta) for large St, with Lambda similar or equal to 0.5.

Place, publisher, year, edition, pages
2016. Vol. 94, no 6, 063112
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Physical Sciences Mathematics
Identifiers
URN: urn:nbn:se:su:diva-142416DOI: 10.1103/PhysRevE.94.063112ISI: 000396587000007PubMedID: 28085299OAI: oai:DiVA.org:su-142416DiVA: diva2:1092639
Available from: 2017-05-03 Created: 2017-05-03 Last updated: 2017-05-03Bibliographically approved

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Bhatnagar, AkshayMitra, Dhrubaditya
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