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 an...

The physico-chemistry of surfactants (amphiphilic surface active agents) is often used to control the dynamics viscous drops and bubbles. Surfactant sorption kinetics has been shown play a critical role in deformation extensional shear flows, yet best our knowledge these effects on drop an electric fieldhave not accounted for. In this paper we numerically investigate surfactant-covered field. O...

Using a Fourier approach we offer a general solution to calculations of slip velocity within the circuit description of the electrohydrodynamics in a binary electrolyte confined by a plane surface with a modulated surface potential. We consider the case with a spatially constant intrinsic surface capacitance where the net flow rate is, in general, zero while harmonic rolls as well as time-avera...