Capillary Surfaces in Circular Cylinders
In the absence of gravity, a capillary surface within a circular cylinder will have constant mean curvature and will make a constant contact angle with the cylinder. Two types of surfaces with these properties are Delaunay surfaces and cylinders (i.e., the free surface of the liquid is another circular cylinder). Stability and energy minimality of these particular capillary surfaces are investigated.
KeywordsCapillarity Delaunay surface Constant mean curvature
Mathematics Subject ClassificationPrimary 76B45 Secondary 53A10
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Conflict of interest
The author has no conflicts of interest in this work.