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Eulerian modelling of gas–solid flows with triboelectric charging

Published online by Cambridge University Press:  05 June 2018

Jari Kolehmainen
Affiliation:
Department of Chemical and Biological Engineering, Princeton University, Princeton, NJ 08542, USA
Ali Ozel*
Affiliation:
Department of Chemical and Biological Engineering, Princeton University, Princeton, NJ 08542, USA School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK
Sankaran Sundaresan
Affiliation:
Department of Chemical and Biological Engineering, Princeton University, Princeton, NJ 08542, USA
*
Email address for correspondence: [email protected]

Abstract

Particles subjected to flow are known to acquire electrostatic charges through repeated contacts with each other and with other surfaces. These charges alter gas–particle flow behaviour at different scales. In this work, we present a continuum framework for analysing the interplay between tribocharging and the flow of a monodisperse assembly of particles characterized by a single effective work function. Specifically, we have derived the continuum, kinetic theory transport equations for gas–particle flow and local-averaged charge on particles directly from the Boltzmann equation. We also derive the auxiliary conditions to capture tribocharging at bounding conducting walls. The resulting two-fluid model with tribocharging and boundary conditions has then been validated against results from discrete element simulations that have been specially designed to probe specific terms in the models.

Type
JFM Papers
Copyright
© 2018 Cambridge University Press 

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