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Deformation and breakup of a pendant drop with solidification

机译:固化时悬垂液滴的变形和破裂

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This paper presents a numerical simulation of deformation and breakup of a solidifying liquid drop pendant from a cold solid surface by an axisymmetric front-tracking method combined with an interpolation technique for enforcing the no-slip velocity boundary at the solid–fluid interface. Many dimensionless parameters such as the Prandtl numberPr, the Stefan numberSt, the Rayleigh numberRa, the Ohnesorge numberOhand the Bond numberBoare varied to reveal their effects on the process. Numerical results show that depending on the flow conditions, the liquid drop can break up while solidifying. Starting from non-breakup, increasingBo(from 1.0 to 3.5) orPr(from 0.01 to 3.16) causes the solidifying drop to break up into liquid drops that fall away from the solid surface. The transition from non-breakup to breakup also appears when decreasingStfrom 1.0 to 0.01,Rafrom 1000 to 50, orOhfrom 0.316 to 0.01. In addition, the effects of these parameters on the solidification time and the height of the solidified products are investigated. Moreover, the effects of volume change (in terms of the solid-to-liquid density ratio) upon solidification and the tri-junction (in terms of the growth angle) are introduced. We also present a phase diagram ofBoversusStthat shows the region of the non-breakup-to-breakup transition.
机译:本文通过轴对称前跟踪方法结合插值技术在固-液界面处实施无滑移速度边界的方法,对凝固的液滴悬垂物从冷固体表面变形和破裂进行了数值模拟。许多无量纲参数(例如Prandtl数Pr,Stefan数St,Rayleigh数Ra,Ohnesorge数和Bond数Boare都可以通过变化来揭示它们对过程的影响。数值结果表明,取决于流动条件,液滴在凝固时会破裂。从不破裂开始,将Bo(从1.0增大到3.5)或Pr(从0.01增大到3.16)会导致凝固液滴分裂成液滴,这些液滴从固体表面脱落。当St从1.0降低到0.01,Ra从1000降低到50或Oh从0.316降低到0.01时,也会出现从不破裂到破裂的转变。此外,研究了这些参数对固化时间和固化产物高度的影响。此外,引入了体积变化(就固液密度比而言)对凝固和三结点(就生长角而言)的影响。我们还提供了BoversusSt的相图,该图显示了非分解到分解的过渡区域。

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