On equilibrium of pendant drop its flexural rigidity of intermediate layer being accounted for
UDC
517.5EDN
WMABKJAbstract
We consider equilibrium of the axisymmetric drop pending from horizontal plane in the gravity field. Variational principle is formulated. It takes into account the energy necessary for the formation of the intermediate layer whose flexural rigidity is also considered. We prove existence of the solution of this problem and show that it is a classical solution of the nonlinear equation representing Euler condition for it.
Keywords:
flexural rigidity, intermediate layer, contact angle, variational principle, Laplace-Beltrami operator, mean and Gauss curvature, generalized derivatives, Sobolev spaces, weak convergenceReferences
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Dates
Submitted
September 7, 2016
Accepted
September 13, 2016
Published
September 30, 2016
How to Cite
[1]
Shcherbakov, E.A., Shcherbakov, M.E., On equilibrium of pendant drop its flexural rigidity of intermediate layer being accounted for. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2016, № 3, pp. 87–94.
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Copyright (c) 2016 Щербаков Е.А., Щербаков М.Е.
This work is licensed under a Creative Commons Attribution 4.0 International License.
