Computational investigation of unusual behavior in certain capillary tubes

被引:3
作者
Brady, V
Concus, P
Finn, R
机构
[1] Lawrence Berkeley Lab, Berkeley, CA 94720 USA
[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
[3] Stanford Univ, Dept Math, Stanford, CA 94305 USA
基金
美国国家科学基金会;
关键词
D O I
10.1007/BF02870966
中图分类号
V [航空、航天];
学科分类号
08 [工学]; 0825 [航空宇航科学与技术];
摘要
We investigate computationally two recent mathematical findings involving unusual behavior of solutions of the Young-Laplace capillary, equation in cylindrical tubes of particular sections. The first concerns a configuration for which smoothing of the boundary curve at a sharp corner leads from existence to non-existence of a solution over the container section in zero gravity. The second describes a discontinuous behavior of relative rise height in nesting tubes placed vertically in an infinite reservoir The numerical results support and quantify the mathematical predictions.
引用
收藏
页码:31 / 38
页数:8
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