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对于两个不混溶的液滴在固体基底上的情况,推导出 Young-Dupré 形式方程的热力学公式。

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

机构信息

Department of Chemistry, Faculty of Science and Technology, Hebron University, P.O. Box 40, Hebron, West Bank, Palestine.

出版信息

J Colloid Interface Sci. 2010 Jun 15;346(2):483-5. doi: 10.1016/j.jcis.2010.03.044. Epub 2010 Mar 23.

DOI:10.1016/j.jcis.2010.03.044
PMID:20378121
Abstract

In this study a form of Young-Dupré 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.

摘要

在这项研究中,对于一种液体(1)完全被另一种液体(2)包裹的情况,导出了一种形式的 Young-Dupré 方程,并且两者都附着在固体基底上。这里考虑的两种液体是不混溶的均匀相。推导主要基于强大的热力学形式主义,并借助几何考虑。推导得到了描述所考虑的两个液滴的平衡条件的两个方程。此外,还推导出了沿着单个接触线的四相合并的平衡条件。结果表明热力学形式主义相对于机械考虑的优势。

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