### 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 language | English |
---|---|

Pages (from-to) | 403-410 |

Number of pages | 8 |

Journal | Theoretical and Applied Mechanics Japan |

Volume | 50 |

Publication status | Published - 2001 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mechanics of Materials

### Cite this

*Theoretical and Applied Mechanics Japan*,

*50*, 403-410.

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

Research output: Contribution to journal › Article

*Theoretical and Applied Mechanics Japan*, vol. 50, pp. 403-410.

}

TY - JOUR

T1 - Lagrangian finite element analysis of the free surface of an incompressible dielectric liquid under an electric field

AU - Mizuyama, Yosuke

AU - Tabata, Masahisa

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0035735352&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035735352&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0035735352

VL - 50

SP - 403

EP - 410

JO - Theoretical and Applied Mechanics

JF - Theoretical and Applied Mechanics

SN - 1348-0693

ER -