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The effect of electrostatic charges on particle-laden duct flows

Published online by Cambridge University Press:  29 December 2020

Holger Grosshans Open the ORCID record for Holger Grosshans [Opens in a new window] ,
Claus Bissinger ,
Mathieu Calero  and
Miltiadis V. Papalexandris Open the ORCID record for Miltiadis V. Papalexandris [Opens in a new window]
Holger Grosshans*
Affiliation:
Physikalisch-Technische Bundesanstalt (PTB), Braunschweig, Germany Institute of Apparatus- and Environmental Technology, Otto von Guericke University of Magdeburg, Germany
Claus Bissinger
Affiliation:
Physikalisch-Technische Bundesanstalt (PTB), Braunschweig, Germany
Mathieu Calero
Affiliation:
Institute of Mechanics, Materials and Civil Engineering, Université catholique de Louvain, Louvain-la-Neuve, Belgium
Miltiadis V. Papalexandris
Affiliation:
Institute of Mechanics, Materials and Civil Engineering, Université catholique de Louvain, Louvain-la-Neuve, Belgium
*
†Email address for correspondence: holger.grosshans@ptb.de
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Abstract

We report on direct numerical simulations of the effect of electrostatic charges on particle-laden duct flows. The corresponding electrostatic forces are known to affect the particle dynamics at small scales and the associated turbophoretic drift. Our simulations, however, predicted that electrostatic forces also dominate the vortical motion of the particles, induced by the secondary flows of Prandtl's second kind of the carrier fluid. Herein, we treated flows at two frictional Reynolds numbers ($Re_{\tau }= 300$ and 600), two particle-to-gas density ratios ($\rho _{p}/\rho =1000$ and 7500) and three Coulombic-to-gravitational force ratios ($F_{el}/F_{g}=0$, 0.004 and 0.026). In flows with a high density ratio at $Re_{\tau }=600$ and $F_{el}/F_{g}=0.004$, the particles tend to accumulate at the walls. On the other hand, at a lower density ratio, respectively a higher $F_{el}/F_{g}$ of 0.026, the charged particles still follow the secondary flow structures that are developed in the duct. However, even in this case, the electrostatic forces counteract the particles’ inward flux from the wall and, as a result, their vortical motion in these secondary structures is significantly attenuated. This change in the flow pattern results in an increase of the particle number density at the bisectors of the walls by a factor of five compared with the corresponding flow with uncharged particles. Finally, at $Re_{\tau }=300$, $\rho _{p}/\rho =1000$ and $F_{el}/F_{g}=0.026$ the electrostatic forces dominate over the aerodynamic forces and gravity and, consequently, the particles no longer follow the streamlines of the carrier gas.

JFM classification

Multiphase and Particle-laden Flows: Particle/fluid flow Turbulent Flows: Turbulence simulation
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 909 , 25 February 2021 , A21
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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