Lagrangian finite element analysis of the free surface of an incompressible dielectric liquid under an electric field

Yosuke Mizuyama, Masahisa Tabata

Research output: Contribution to journalArticle


The motion of the free surface of an incompressible dielectric liquid is numerically simulated. The dynamics are an electric field and the surface tension. The liquid is assumed to have no charge and is initially placed between a pair of metal electrodes, which yield an electric potential. The problem is described by the Laplace equation for the electric potential and the Navier-Stokes equations for the velocity and the pressure of the liquid with unknown position of the free surface. In order to solve the problem a Lagrangian finite element method is implemented in combination with a mesh refinement method. The shapes and the rising speeds of the free surfaces are calculated for several combinations of Reynolds and Weber numbers.

Original languageEnglish
Pages (from-to)403-410
Number of pages8
JournalTheoretical and Applied Mechanics Japan
Publication statusPublished - 2001
Externally publishedYes


ASJC Scopus subject areas

  • Mechanics of Materials

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