Generalization of Taylor's formula to particles of arbitrary inertia

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Boi , S , Mazzino , A , Muratore-Ginanneschi , P & Olivieri , S 2018 , ' Generalization of Taylor's formula to particles of arbitrary inertia ' , Physical Review Fluids , vol. 3 , no. 10 , 104501 . https://doi.org/10.1103/PhysRevFluids.3.104501

Title: Generalization of Taylor's formula to particles of arbitrary inertia
Author: Boi, Simone; Mazzino, Andrea; Muratore-Ginanneschi, Paolo; Olivieri, Stefano
Contributor organization: Department of Mathematics and Statistics
Mathematical physics
Date: 2018-10-02
Language: eng
Number of pages: 20
Belongs to series: Physical Review Fluids
ISSN: 2469-990X
DOI: https://doi.org/10.1103/PhysRevFluids.3.104501
URI: http://hdl.handle.net/10138/247104
Abstract: One of the cornerstones of turbulent dispersion is the celebrated Taylor's formula. This formula expresses the rate of transport (i.e., the eddy diffusivity) of a tracer as a time integral of the fluid velocity autocorrelation function evaluated along the fluid particle trajectories. Here, we review the hypotheses which permit us to extend Taylor's formula to particles of any inertia. The hypotheses are independent of the details of the inertial particle model. We also show by explicit calculation that the hypotheses encompass cases when memory terms such as Basset's and Faxén's corrections are taken into account in the modeling of inertial particle dynamics.One of the cornerstones of turbulent dispersion is the celebrated Taylor's formula. This formula expresses the rate of transport (i.e., the eddy diffusivity) of a tracer as a time integral of the fluid velocity autocorrelation function evaluated along the fluid particle trajectories. Here, we review the hypotheses which permit us to extend Taylor's formula to particles of any inertia. The hypotheses are independent of the details of the inertial particle model. We also show by explicit calculation that the hypotheses encompass cases when memory terms such as Basset's and Faxén's corrections are taken into account in the modeling of inertial particle dynamics.One of the cornerstones of turbulent dispersion is the celebrated Taylor's formula. This formula expresses the rate of transport (i.e., the eddy diffusivity) of a tracer as a time integral of the fluid velocity autocorrelation function evaluated along the fluid particle trajectories. Here, we review the hypotheses which permit us to extend Taylor's formula to particles of any inertia. The hypotheses are independent of the details of the inertial particle model. We also show by explicit calculation that the hypotheses encompass cases when memory terms such as Basset's and Faxén's corrections are taken into account in the modeling of inertial particle dynamics.
Subject: 114 Physical sciences
LINEAR SHEAR-FLOW
BROWNIAN-MOTION
SCALAR TRANSPORT
MAGNETIC-FIELD
SPHERICAL-PARTICLE
EDDY DIFFUSIVITIES
BASSET FORCE
LIFT FORCE
TURBULENT
DIFFUSION
Peer reviewed: Yes
Rights: unspecified
Usage restriction: openAccess
Self-archived version: publishedVersion


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