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On Modeling and Simulation of Electrokinetic Phenomena in Two-Phase Flow with General Mass Densities

Campillo-Funollet, E, Grün, G, Klingbeil, F (2012) On Modeling and Simulation of Electrokinetic Phenomena in Two-Phase Flow with General Mass Densities. SIAM Journal on Applied Mathematics, 72 (6). pp. 1899-1925. ISSN 0036-1399. E-ISSN 1095-712X. (doi:10.1137/120861333) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:90469)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL
https://doi.org/10.1137/120861333

Abstract

We formulate phase-field models for electrowetting with electrolyte solutions for general mass densities taking, in particular, mass density contrast into account. Based on Onsager's variational principle and volume averaging for gross velocities, we obtain a nonlinear coupling of hydrodynamic equations with the Nernst--Planck equations of ion transport, the Cahn--Hilliard equation for the phase-field, and an elliptic transmission problem for the electrostatic potential. Nonstandard boundary conditions for the Cahn--Hilliard equation allow for contact angle hysteresis. We comment on sharp interface limits and present energy estimates in the diffuse- and in the sharp interface settings. Finally, two- and three-dimensional numerical simulations underline the capability of diffuse interface approaches to model droplet transport, coalescence, and splitting.

Item Type: Article
DOI/Identification number: 10.1137/120861333
Uncontrolled keywords: electrowetting; electrolytes; phase-field model; Navier--Stokes equations; Cahn--Hilliard equation; Nernst--Planck equations; elliptic transmission problem
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Amy Boaler
Date Deposited: 29 Sep 2021 14:30 UTC
Last Modified: 16 Nov 2021 10:27 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/90469 (The current URI for this page, for reference purposes)
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