Abstract In this manuscript we examine the stability of an evaporating-bounded axisymmetric liquid bridge confined between parallel-planar similar substrates by using both theory and experiments. From classical stability analysis appearing in the literature it is now generally understood that a bounded liquid bridge stability diagram contains; a region of low slenderness where instability is caused by de-pinning; a region of low to large slenderness and small liquid bridge volume where axisymmetric minimum volume instabilities occur; and a low to large slenderness region with large liquid bridge volume where non-axisymmetric maximum volume instabilities are present. Under a quasistatic assumption we use hydrostatics via the Young–Laplace equation to estimate the minimum stable volume before either de-pinning or rupture occur for a range of axial and radial Bond numbers. To examine liquid bridge stability from the Young–Laplace equation for bounded-axisymmetric liquid bridges we analyzed zero capillary pressure solutions, and their transition, as stability limits. Observable trends show good agreement for critical behavior when comparing experiments and theory.

中文翻译：

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蒸发有界液桥的脱钉不稳定性：实验和轴对称分析

摘要 在这篇手稿中，我们通过理论和实验研究了限制在平行平面相似基板之间的蒸发有界轴对称液桥的稳定性。从文献中出现的经典稳定性分析，现在普遍理解有界液桥稳定性图包含：由脱钉引起的不稳定的低细长区域；一个从低到大的细长和小液桥体积的区域，其中发生轴对称最小体积不稳定性；以及具有大液桥体积的从低到大的细长区域，其中存在非轴对称最大体积不稳定性。在准静态假设下，我们通过 Young-Laplace 方程使用流体静力学来估计在一系列轴向和径向键数下发生脱销或破裂之前的最小稳定体积。为了从有界轴对称液桥的 Young-Laplace 方程中检查液桥稳定性，我们分析了零毛细管压力解及其过渡，作为稳定性极限。在比较实验和理论时，可观察到的趋势表明关键行为的一致性很好。