Visco-potential flows in electrohydrodynamics

M. Hunt, D. Dutykh

Research output: Contribution to journalArticlepeer-review

4 Citations (SciVal)


In this study we consider the problem of the interface motion under the capillary-gravity and an external electric force. The infinitely deep fluid layer is assumed to be viscous, perfectly conducting and the flow to be incompressible. The weak viscous effects are introduced using the Helmholtz-Leray decomposition and the visco-potential flow approach. The electric charge distributions above and on the free surface are considered. Finally, we derive some linearized analytical solutions for the free surface elevation shape under the localized pressure distribution and the combined action of the forces mentioned herein above.
Original languageEnglish
Pages (from-to)1721-1726
Number of pages6
JournalPhysics Letters A
Issue number24-25
Publication statusPublished - 2 May 2014


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