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Streams of cylindrical water - MaRDI portal

Streams of cylindrical water (Q1777530)

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scientific article; zbMATH DE number 2170568
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English
Streams of cylindrical water
scientific article; zbMATH DE number 2170568

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    Streams of cylindrical water (English)
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    23 May 2005
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    In this introductory article the author discusses surfaces which are stationary for a cylindrical surface energy under a volume constraint. This surface energy makes horizontal and vertical directions preferable so that the cheapest way to enclose a given volume is a cylindrical can. The author describes cylindrical analogues of the classical Delaunay undoloids consisting of a chain of similar cylinders of alternating radii \(R\), \(r\) and heights \(H\), \(h\) where \(H/R= h/r= 2/(R- r)\). Some related results from the literature are briefly mentioned.
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    cylindrical surface energy
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    undoloid
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