Dirk Langemann
A Droplet in a Stationary Electric Field
Preprint series: Preprints aus dem Fachbereich Mathematik, Universität Rostock
65C20 Models, numerical methods
78A30 Electro- and magnetostatics
Abstract: Water droplets on insulating material influence strongly the
aging process of the material. The shape of the droplets
signifies the state of the aging material. The present paper
discusses a procedure to calculate the droplet shape in an
electric field generated by a constant voltage.
A combined stationary solution of the droplet shape and the
electric field is searched for. The typical shapes of the
droplets are shown for several voltages. Special care is
taken to the singularities of the electric field in the
triple points.
Keywords: boundary value problem, corner points, stationary electric field, insulators, droplets