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Zeitschrift für Analysis und ihre Anwendungen


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Volume 31, Issue 1, 2012, pp. 1–15
DOI: 10.4171/ZAA/1445

Published online: 2011-12-27

Equilibrium State of a Pendant Drop with Inter-phase Layer

Evgeni Shcherbakov[1]

(1) Kuban State University, Krasnodar, Russian Federation

We consider equilibrium state of axisymmetrical pendant drop taking into account intermediate layer. We show that the contact angle between drop’s surface and horizontal plane differs from the classical one and depends on the width of the layer and on the radii of the contact circle. When width of the layer is equal to zero our representation of the contact angle reduces to the classical one. We prove the existence of equilibrium forms of the axisymmetrical drops on the basis of the variational principle.

Keywords: Intermediate layer, mean curvature, Gauß curvature, contact angle, variational principle, generalized derivative, Steiner symmetrization

Shcherbakov Evgeni: Equilibrium State of a Pendant Drop with Inter-phase Layer. Z. Anal. Anwend. 31 (2012), 1-15. doi: 10.4171/ZAA/1445