Electrical field induced curvature increase on a drop of conducting liquid

M. Bienia, M. Vallade, C. Quilliet, Friedrich Gunther Mugele

Research output: Contribution to journalArticleAcademicpeer-review

17 Citations (Scopus)

Abstract

We present an analytical approach using conformal mapping to the free-boundary problem of the shape of a liquid drop submitted to a strong electrical field, as encountered in electrowetting systems. In agreement with recent numerical calculations, we show that both the curvature of the surface profile and the electric field diverge algebraically close to the three-phase line. The algebraic exponents agree with the numerical results. We show analytically that the local contact angle remains equal to Young's angle, independent of the applied voltage. Furthermore, we present experimental evidence of a curvature increase close to the contact line.
Original languageUndefined
Pages (from-to)103-
JournalEurophysics letters
Volume74
Issue number1
DOIs
Publication statusPublished - 2006

Keywords

  • IR-61317
  • METIS-232832

Cite this

Bienia, M. ; Vallade, M. ; Quilliet, C. ; Mugele, Friedrich Gunther. / Electrical field induced curvature increase on a drop of conducting liquid. In: Europhysics letters. 2006 ; Vol. 74, No. 1. pp. 103-.
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Electrical field induced curvature increase on a drop of conducting liquid. / Bienia, M.; Vallade, M.; Quilliet, C.; Mugele, Friedrich Gunther.

In: Europhysics letters, Vol. 74, No. 1, 2006, p. 103-.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Electrical field induced curvature increase on a drop of conducting liquid

AU - Bienia, M.

AU - Vallade, M.

AU - Quilliet, C.

AU - Mugele, Friedrich Gunther

PY - 2006

Y1 - 2006

N2 - We present an analytical approach using conformal mapping to the free-boundary problem of the shape of a liquid drop submitted to a strong electrical field, as encountered in electrowetting systems. In agreement with recent numerical calculations, we show that both the curvature of the surface profile and the electric field diverge algebraically close to the three-phase line. The algebraic exponents agree with the numerical results. We show analytically that the local contact angle remains equal to Young's angle, independent of the applied voltage. Furthermore, we present experimental evidence of a curvature increase close to the contact line.

AB - We present an analytical approach using conformal mapping to the free-boundary problem of the shape of a liquid drop submitted to a strong electrical field, as encountered in electrowetting systems. In agreement with recent numerical calculations, we show that both the curvature of the surface profile and the electric field diverge algebraically close to the three-phase line. The algebraic exponents agree with the numerical results. We show analytically that the local contact angle remains equal to Young's angle, independent of the applied voltage. Furthermore, we present experimental evidence of a curvature increase close to the contact line.

KW - IR-61317

KW - METIS-232832

U2 - 10.1209/epl/i2006-10003-3

DO - 10.1209/epl/i2006-10003-3

M3 - Article

VL - 74

SP - 103-

JO - Europhysics letters

JF - Europhysics letters

SN - 0295-5075

IS - 1

ER -