Phase field modelling of drops in electric fields
Seminar Room 2, Newton Institute Gatehouse
AbstractThe modelling of drops under the action of electric fields is of practical importance in connection with microdevices where small amounts of fluid need to be manipulated. Nevertheless, the associated free boundary problems involve various difficulties: presence of moving contact lines, changes in the drop's topology, instabilities of various types,... Some of these can be overcome by introducing a phase field formulation of the problem. We introduce it in a thermodynamically consistent way and present analysis of existence and uniqueness of solutions for the resulting model as well as numerical implementation for various situations of interest.
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