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Electric field-dependent scaling law for overdamped (di)electrowetting and dewetting on dielectric

Shreyank Goel, Rakshith Gowda BT, and Dipin S. Pillai*

  • *Contact author: dipinsp@iitk.ac.in

Phys. Rev. Fluids 10, 014201 – Published 8 January, 2025

DOI: https://doi.org/10.1103/PhysRevFluids.10.014201

Abstract

Equilibrium droplet shape and transient dynamics during (di)electrowetting and dewetting on dielectric are electric field–dependent. We present a lubrication model incorporating the Young–Lippmann law that accurately predicts the equilibrium droplet shape and its transient dynamics. The droplet contact line position xcl follows a field-dependent power law xcltn, where the magnitude of n increases with the applied electric field. When the field strength equals the critical value required for complete wetting, the electrospreading dynamics reduce to the classical Tanner's law (n=1/7), in agreement with past experiments. The magnitude of n for electrodewetting is shown to be greater compared with wetting, attributed to a lesser viscous dissipation in the former case. Despite a difference in the power-law exponent n, the transient dynamics for both (di)electrowetting and electrodewetting are shown to follow the Cox–Voinov law. These observations qualitatively extend beyond the lubrication regime to large contact-angle droplets as well, as confirmed using Navier–Stokes simulations.

Physics Subject Headings (PhySH)

Corrections

8 January, 2026

Correction: A typographical error in the text below Eq. (19) has been fixed. An incorrect version of Figure 4 was used for publication and has now been replaced with the correct version.

Article Text

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