Convex, Rotationally Symmetric Liquid Bridges between Spheres
نویسنده
چکیده
A liquid bridge between two balls will have a free surface which has constant mean curvature, and the angles of contact between the free surface and the fixed surfaces of the balls will be constant (although there might be two different contact angles: one for each ball). If we consider rotationally symmetric bridges, then the free surface must be a Delaunay surface, which may be classified as unduloids, nodoids, and catenoids, with spheres and cylinders as special cases of the first three types. In this paper, it is shown that a convex unduloidal bridge between two balls is a constrained local energy minimum for the capillary problem, and a convex nodoidal bridge between two balls is unstable.
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