Abstract
We consider a connected drop of liquid of prescribed volume V resting on a horizontal plane П in a vertical gravity field directed toward П,and we suppose the plane to be of homogeneous material so that the contact angle γ will be constant, 0≤γ≤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 П, so we may restrict attention to that case (see Fig. 3.1). According to (1.51), at a point on the free surface L where the fluid is below L, the height u(x, y) of L above П will satisfy
for some constant (Lagrange multiplier) λ.
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© 1986 Springer-Verlag New York Inc.
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Finn, R. (1986). The Symmetric Sessile Drop. In: Equilibrium Capillary Surfaces. Grundlehren der mathematischen Wissenschaften, vol 284. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8584-4_3
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DOI: https://doi.org/10.1007/978-1-4613-8584-4_3
Publisher Name: Springer, New York, NY
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