title: Perturbation analysis of steady and unsteady electrohydrodynamic chaotic advection inside translating drops.
abstract: A drop translating in the presence of an electric field is studied analytically. The flow is a combination of a Hadamard-Rybczynski and a Taylor circulation due to the translation and electric field, respectively. We consider chaotic advection that is generated by (1) tilting and (2) time-dependent modulation of the electric field. For the analysis we consider small perturbations in time and space to what is otherwise an integrable flow. By using a robust analytical technique we find an adiabatic invariant (AI) for the system by averaging the equations of motion. The chaotic advection is due to quasirandom jumps of the AI after crossing the separatrix of the unperturbed flow. We demonstrate that the asymptotic analysis leads to a set of criteria that can be used to optimize stirring in these systems.
authors.affiliation: Department of Mechanical Engineering, Temple University, Philadelphia, Pennsylvania 19122, USA.|School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China.
authors.forename: Fan
authors.initials: F
authors.lastname: Wu
authors.affiliation: Department of Mechanical Engineering, Temple University, Philadelphia, Pennsylvania 19122, USA.|Space Research Institute, Moscow, GSP-7, 117997, Russia.
authors.forename: Dmitri
authors.initials: D
authors.lastname: Vainchtein
authors.affiliation: Department of Aerospace Engineering, Iowa State University, Ames, Iowa 50011-2271, USA.
authors.forename: Thomas
authors.initials: T
authors.lastname: Ward