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Capillary Surfaces in Circular Cylinders
Journal of Mathematical Fluid Mechanics ( IF 1.2 ) Pub Date : 2021-06-07 , DOI: 10.1007/s00021-021-00589-9
Thomas I. Vogel

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.



中文翻译:

圆柱体中的毛细管表面

在没有重力的情况下,圆柱体内的毛细管表面将具有恒定的平均曲率,并与圆柱体形成恒定的接触角。具有这些特性的两种类型的表面是 Delaunay 表面和圆柱体(即,液体的自由表面是另一个圆柱体)。研究了这些毛细管表面的稳定性和能量最小化。

更新日期:2021-06-07
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