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We investigate the statistics of orientation of small, neutrally buoyant,spherical tracers whose center of mass is displaced from the geometricalcenter. If appropriate-sized particles are considered, a linear relation can bederived between the horizontal components of the orientation vector and thesame components of acceleration. Direct numerical simulations are carried out,showing that such relation can be used to reconstruct the statistics ofacceleration fluctuations up to the order of the gravitational acceleration.Based on such results, we suggest a novel method for the local experimentalmeasurement of accelerations in turbulent flows.

Geotropic tracers in turbulent flows: a proxy for fluid acceleration