Electrohydrodynamic assembly of colloidal particles on a drop interface

Yi Hu; Petia M. Vlahovska; Michael J. Miksis; Yi Hu; Petia M. Vlahovska; Michael J. Miksis

doi:10.3934/mbe.2021119

Mathematical Biosciences and Engineering

2021, Volume 18, Issue 3: 2357-2371. doi: 10.3934/mbe.2021119

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Electrohydrodynamic assembly of colloidal particles on a drop interface

Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, USA

Received: 19 October 2020 Accepted: 18 February 2021 Published: 09 March 2021

A mathematical model to simulate the dynamics of colloidal particles on a drop interface in an applied electric field is presented. The model accounts for the electric field driven flow within the drop and suspending fluid, particle-particle electrostatic interaction, and the particle motion and rotation due to the induced flow and the applied electric field. The model predicts the formation of chains in the case of conducting particles or an undulating band around the equator in the case of dielectric particles. The model results are in agreement with recent experimental work. A study is presented on the impact of particle concentration and electric field strength on the collective motions of the particles. In the case of non-conducting particles, we find that in the presence of Quincke rotation, the amplitude of the undulations of the observed equatorial particle belt increases with particle concentration but decreases with electric field strength. We also show that the wavelength of the undulations appears independent of the applied field strength.
- electrohydrodynamics,
- particles,
- drops,
- collective motion,
- Quincke rotation
Citation: Yi Hu, Petia M. Vlahovska, Michael J. Miksis. Electrohydrodynamic assembly of colloidal particles on a drop interface[J]. Mathematical Biosciences and Engineering, 2021, 18(3): 2357-2371. doi: 10.3934/mbe.2021119

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Abstract

A mathematical model to simulate the dynamics of colloidal particles on a drop interface in an applied electric field is presented. The model accounts for the electric field driven flow within the drop and suspending fluid, particle-particle electrostatic interaction, and the particle motion and rotation due to the induced flow and the applied electric field. The model predicts the formation of chains in the case of conducting particles or an undulating band around the equator in the case of dielectric particles. The model results are in agreement with recent experimental work. A study is presented on the impact of particle concentration and electric field strength on the collective motions of the particles. In the case of non-conducting particles, we find that in the presence of Quincke rotation, the amplitude of the undulations of the observed equatorial particle belt increases with particle concentration but decreases with electric field strength. We also show that the wavelength of the undulations appears independent of the applied field strength.

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