Isaac Newton Institute for Mathematical Sciences

BEM for Rotating Drops - The Effects of Charge and Electric Fields

Presenter: Víctor José García Garrido (ICMAT)

Co-authors: Marco Antonio Fontelos López (ICMAT), Ultano Kindelán Bustelo (UPM)


In many industrial applications such as field-induced droplet ionization, the development of Taylor cones in charged or neutral droplets subject to external electric fields is used to create a jet of micro-droplets that is emitted from the cone tips. Regarding rotating droplets, the original experiments conducted by J. Plateau in 1843 have been applied to different fields of study ranging from astrophysics to nuclear fission and helped develop tensiometers to measure surface tension between fluids in the laboratory. In this work we will discuss the effects that rotation (at constant angular momentum or constant angular speed) has on viscous and perfectly conducting droplets surrounded by another viscous and insulating fluid when the drop holds an amount of charge on its surface or is subject to a uniform external electric field. This is done by means of the BEM applied to Stokes equation and special attention is paid to stable configurations and the formation of Taylor cone s ingularities, including droplet breakup.