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Capillary Surfaces in Circular Cylinders

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Abstract

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 capillary surfaces are investigated.

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA

    Thomas I. Vogel

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  1. Thomas I. Vogel
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Correspondence to Thomas I. Vogel.

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Thomas I. Vogel has no affiliation or involvement with any organization or entity with any financial or non-financial interest in the subject matter or materials discussed in this manuscript.

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Communicated by R. Finn.

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Vogel, T.I. Capillary Surfaces in Circular Cylinders. J. Math. Fluid Mech. 23, 68 (2021). https://doi.org/10.1007/s00021-021-00589-9

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  • DOI: https://doi.org/10.1007/s00021-021-00589-9

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