Titlebook: Equilibrium Capillary Surfaces; Robert Finn Book 1986 Springer-Verlag New York Inc. 1986 Calculation.Surfaces.behavior.equation.geometry.i

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The Symmetric Capillary Tube,d for over 150 years. Only recently was it shown that methods already known to Laplace could be developed to obtain significantly more precise information. We describe some of those developments in this chapter. These new results have served in turn as the underlying basis for recent studies on sessile drops, that are described in Chapter 3.

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Asymmetric Case; Comparison Principles and Applications,tatement we give is formally analogous to the familiar maximum principle for the Laplace operator; however there is an important new feature, which reflects itself in some striking distinctions, between the behavior of capillary surfaces and that of surfaces determined by the solutions of linear elliptic equations.

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https://doi.org/10.1007/978-94-6209-332-4epancy between “advancing” and “receding” contact angles. Even on this point there remains disagreement. For an expository survey, see [42]; experiments with discordant, seemingly conflicting, results are reported in [1, 45, 104, 121, 188]. We remark also the comments in [4, p. 609].

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The Capillary Contact Angle,epancy between “advancing” and “receding” contact angles. Even on this point there remains disagreement. For an expository survey, see [42]; experiments with discordant, seemingly conflicting, results are reported in [1, 45, 104, 121, 188]. We remark also the comments in [4, p. 609].

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https://doi.org/10.1007/978-1-4613-8584-4Calculation; Surfaces; behavior; equation; geometry; identity; plant; proof; stability; theorem

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Eliezer Huberman,Robert Langenbachpose the plane to be of homogeneous material so that the contact angle . will be constant, 0≤.≤π. Wente has proved [186] that under these conditions any equilibrium surface is generated by an interval of disks centered on a line segment orthogonal to ., so we may restrict attention to that case (see