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

Abstract

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
Volume50
Publication statusPublished - 2001
Externally publishedYes

Fingerprint

Dielectric liquids
Free Surface
Electric Field
Electric Potential
Electric fields
Liquid
Finite Element
Finite element method
electric fields
liquids
Lagrangian Method
Laplace equation
Mesh Refinement
Liquids
Electric potential
electric potential
Laplace's equation
Surface Tension
Navier-Stokes equation
Navier Stokes equations

ASJC Scopus subject areas

  • Mechanics of Materials

Cite this

Lagrangian finite element analysis of the free surface of an incompressible dielectric liquid under an electric field. / Mizuyama, Yosuke; Tabata, Masahisa.

In: Theoretical and Applied Mechanics Japan, Vol. 50, 2001, p. 403-410.

Research output: Contribution to journalArticle

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