TY - JOUR
T1 - Visco-potential flows in electrohydrodynamics
AU - Hunt, M.
AU - Dutykh, D.
PY - 2014/5/2
Y1 - 2014/5/2
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84901241263&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1016/j.physleta.2014.04.025
U2 - 10.1016/j.physleta.2014.04.025
DO - 10.1016/j.physleta.2014.04.025
M3 - Article
AN - SCOPUS:84901241263
VL - 378
SP - 1721
EP - 1726
JO - Physics Letters A
JF - Physics Letters A
SN - 0375-9601
IS - 24-25
ER -