Stability analysis of a drop in a pin-to-plate electrohydrostatic system

Kazuyuki Tada*, Masato Nishiura, Hiroyuki Kawamoto

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Stability of a drop in a pin to plate electrohydrostatic system was examined both theoretically and experimentally. With this static model, the mechanism of electrostatic ink jetting process was estimated. The basic equations are the augmented Young-Laplace equation for drop shape and the Laplace equation for electric field. These coupled equations were solved by the Finite Element Method. By the initial condition of its shape, a drop could be deformed into anomalous shapes, such as "nipple" and "dog bone," as well as conical shape, often referred as Taylor cone with the increment of non dimensional electric field. The concentration of electric field around the corner of a nozzle was the cause of these anomalous shapes. By this stability nnalsis, it was demonstrated that the electrostatic ink jetting modes, dripping mode and the onset of cone jet mode, were governed by the force balance between forces from surface tension, pressure and electrostatic field.

Original languageEnglish
Pages (from-to)619-625
Number of pages7
JournalNihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Issue number752
Publication statusPublished - 2009 Apr
Externally publishedYes


  • Droplet
  • Electrostatic inkjet
  • Finite element method
  • Laplace equation
  • Nozzle
  • Stability
  • Young-laplace equation

ASJC Scopus subject areas

  • Mechanical Engineering
  • Condensed Matter Physics


Dive into the research topics of 'Stability analysis of a drop in a pin-to-plate electrohydrostatic system'. Together they form a unique fingerprint.

Cite this