Capillary deformations of Bernoulli one-phase solutions

Three one-phase Bernoulli solutions (the hairpin, the exterior-disk solution, and Scherk’s periodic exceptional domain) and their normalized capillary deformations.

Controls

Solution

Contact angle

60°

Equivalent deformation parameter: λ = tan(θ/2).

Visible parameter window

1.00

Scherk opening α

45.0°

Controls the exceptional-domain geometry and the period.

Displayed periods

Several adjacent periods make the Scherk geometry easier to read.

Mesh density

Show parameter lines Show boundary curves Show the plane x₃=0

Hairpin family

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Capillary deformations of Bernoulli one-phase solutions

Hairpin family

Current formula

Current parameters