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Electrohydrodynamic tuning of the migration characteristics of a sedimenting compound drop

Published online by Cambridge University Press:  06 December 2022

Manash Protim Boruah ,
Pitambar R. Randive Open the ORCID record for Pitambar R. Randive [Opens in a new window]  and
Sukumar Pati
Manash Protim Boruah
Affiliation:
Department of Mechanical Engineering, National Institute of Technology Silchar, Silchar-788010, India
Pitambar R. Randive*
Affiliation:
Department of Mechanical Engineering, National Institute of Technology Silchar, Silchar-788010, India
Sukumar Pati
Affiliation:
Department of Mechanical Engineering, National Institute of Technology Silchar, Silchar-788010, India
*
†Email address for correspondence: pitambar@mech.nits.ac.in
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Abstract

Electrohydrodynamic sedimentation of simple drops has been a topic well-studied by researchers. However, electrohydrodynamic sedimentation of a compound drop would be critically influenced by the density of the involved phases and this has hitherto remained unaddressed. Herein, we develop a semi-analytical model for an eccentric compound drop settling under the action of gravity and an electric field using bispherical coordinates. The sedimentation velocity of the two drops (shell and core) is determined, and the same is applied to capture the influence of concomitant physical, hydrodynamic and electric properties on compound droplet sedimentation. The findings indicate that the compound drop may either sediment or de-sediment depending on the amount of eccentricity and its interplay with electrohydrodynamic parameters. Thereafter, the critical limit of eccentricity and time within which similar results are furnished by concentric and eccentric configurations is determined. It is found that, based on the property ratios, the eccentricity remains lower than 0.1 up to a non-dimensional time range of the order of 102–103, within which both the configurations can furnish a similar solution.

JFM classification

Drops and Bubbles: Drops Drops and Bubbles: Electrohydrodynamic effects
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 953 , 25 December 2022 , A13
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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