| Wed November 1st 2023 16:00 – 17:00 ZH286 | Seminar | Shocks and caps in drop electrohydrodynamics Ory Schnitzer |
Details:The problem of electrohydrodynamic drop deformation is well understood in the case where the external electric field is weak. In one of his celebrated papers (Proc. R. Soc. A, 291 1425 159-166, 1966), G. I. Taylor worked out a complete theory in this limit. He clarified the physics (giving rise to the “leaky-dielectric” fluid model which is nowadays widely used in electrohydrodynamics), calculated the flow engendered within and outside of the drop, and derived a function of the permittivity, conductivity and viscosity drop-to-background ratios that discriminates between prolate-spheroidal or oblate-spheroidal drop deformation. I will present numerical and asymptotic results shedding light on some surprising effects of interfacial-charge convection, a transport mechanism which was neglected by Taylor but can become important at strong electric fields. (Joint work with Gunnar G. Peng, Rodolfo Brandão and Ehud Yariv.) | ||
