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Electrically controlled self-similar evolution of viscous fingering patterns

Abstract

Interfacial instabilities are prevalent in nature and engineering. In this talk, I will discuss the dynamics of a interface in a Hele-Shaw cell under an electric field. The coupling of the hydraulic and electric fields make the dynamics of the interface very complicated. We develop an efficient algorithm to investigate the nonlinear dynamics of the interface. Our nonlinear results reveal that the electric feild plays an important roll in controlling the interfacial instability. Finally, we construct an efficient controlling scheme for the interface.