Thermodynamic derivation of the Young-Dupre form equations for the case of two immiscible liquid drops resting on a solid substrate

Thermodynamic derivation of the Young-Dupre form equations for the case of two immiscible liquid drops resting on a solid substrate
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DOI:
10.1016/j.jcis.2010.03.044
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发表时间:
2010-06-15
影响因子:
9.9
通讯作者:
Ayyad, Ahmed H.
Ayyad, Ahmed H.
中科院分区:
化学1区
文献类型:
--
作者:
Ayyad, Ahmed H.

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在这项研究中,对于一滴液体(1)完全被另一滴液体(2)包裹,并且两者都停留在固体衬底上的情况,推导出了Young-Dupre方程的形式。这里考虑的两种液体是不相容的均相。其推导主要基于强大的热力学形式,并辅以几何方面的考虑。推导出了描述所考虑的两个液滴的平衡条件的两个方程。此外,还推导了沿一条接触线的四相合并的平衡条件。结果表明,热力学形式比力学考虑具有更大的优势。(C)2010 Elsevier Inc.保留所有权利。
In this study a form of Young-Dupre equation has been derived for the case of a drop of a liquid(1) completely encapsulated by another drop of liquid(2) and both are resting on a solid substrate. The two liquids considered here are immiscible homogeneous phases. The derivation is mainly based on the powerful thermodynamics formalism with the help of geometrical considerations. The derivation yields two equations describing the equilibrium conditions of the two drops considered. In addition the equilibrium conditions for the four-phase merging along a single contact line is derived. The results show the advantages of thermodynamic formalism over mechanical considerations. (C) 2010 Elsevier Inc. All rights reserved.