Nonlinear dynamics of the interface of dielectric liquids in a strong electric field: Reduced equations of motion

Nikolay M. Zubarev
2006 Physics of Fluids  
The evolution of the interface between two ideal dielectric liquids in a strong vertical electric field is studied. It is found that a particular flow regime, for which the velocity potential and the electric field potential are linearly dependent functions, is possible if the ratio of the permittivities of liquids is inversely proportional to the ratio of their densities. The corresponding reduced equations for interface motion are derived. In the limit of small density ratio, these equations
more » ... o, these equations coincide with the well-known equations describing the Laplacian growth.
doi:10.1063/1.2173282 fatcat:zh4cpqu5rzciflmutzpnhgjmku