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The assembly of freely moving rigid fibres measures the flow velocity gradient tensor

Published online by Cambridge University Press:  11 May 2020

Mattia Cavaiola Open the ORCID record for Mattia Cavaiola [Opens in a new window] ,
Stefano Olivieri Open the ORCID record for Stefano Olivieri [Opens in a new window]  and
Andrea Mazzino
Mattia Cavaiola
Affiliation:
Department of Civil, Chemical and Environmental Engineering (DICCA), University of Genova, Via Montallegro 1, 16145, Genova, Italy INFN, Genova Section, Via Montallegro 1, 16145, Genova, Italy
Stefano Olivieri
Affiliation:
Department of Civil, Chemical and Environmental Engineering (DICCA), University of Genova, Via Montallegro 1, 16145, Genova, Italy INFN, Genova Section, Via Montallegro 1, 16145, Genova, Italy
Andrea Mazzino*
Affiliation:
Department of Civil, Chemical and Environmental Engineering (DICCA), University of Genova, Via Montallegro 1, 16145, Genova, Italy INFN, Genova Section, Via Montallegro 1, 16145, Genova, Italy
*
†Email address for correspondence: [email protected]
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Abstract

The motion of an assembly of rigid fibres is investigated for different classes of closed streamline flows, steady or time dependent, two-dimensional or three-dimensional. In our study, the dynamics of the fibre assembly is fully coupled to the flow field by means of a state of the art immersed boundary method. We show that, for sufficiently small Stokes times of the assembly, the whole flow gradient tensor can be accurately reconstructed by simply tracking the fibre assembly and measuring suitable fibre velocity differences evaluated at the fibre ends. Our results strongly suggest the possibility of using rigid fibres (or assemblies of them) to perform multi-point flow measures, either in laboratory or in field: future experiments are therefore mandatory to inquire the feasibility of a new ‘fibre tracking velocimetry’ technique.

JFM classification

Multiphase and Particle-laden Flows: Particle/fluid flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 894 , 10 July 2020 , A25
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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