Capillary wedges revisited

Capillary wedges revisited
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重新审视毛细管楔

DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
R. Finn
R. Finn
中科院分区：
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文献类型：
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作者：
P. Concus;R. Finn

文献摘要

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研究了圆柱形容器在零重力下的平衡毛细表面，其截面为带角点的楔形区域。给出了曲面存在或不存在的充要条件，这些曲面是角点处底面上的局部图形，且两侧的接触角(规定的)可能不同。结果表明，当两个接触角相同时，这种行为可以显著地定性地偏离所发生的行为。导出了发生这种质变的条件，并给出了例证。
Equilibrium capillary surfaces in zero gravity in cylindrical containers whose sections are (wedge) domains with corners are studied. Necessary and also sufficient conditions are developed for the existence or nonexistence of surfaces that are locally graphs over the base at the corner, with (prescribed) contact angles that may differ on the two sides. It is shown that the behavior can depart in significant qualitative ways from that which occurs when the two contact angles are the same. Conditions are derived under which such qualitative changes must occur, and illustrative examples are given.