Abstract
The steady-state shape of a drop of liquid under the action of surface tension, gravity and centrifugal forces is determined in this paper. The governing equations are derived from a variational principle on the total energy of the droplet. The steady-state shape is assumed to be axially symmetric, which allows describing it by means of its generator curve. This is approximated by a cubic parametric spline with suitable end conditions, and unknown supporting points. These are determined via the nonlinear least-square approximation of the arising overdetermined nonlinear algebraic system of equations. The procedure is illustrated with an example from the glass industry.
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