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沃什伯恩方程面对伽利略变换:一些评论。

Washburn's equation facing Galileo's transformation: some remarks.

作者信息

Labajos-Broncano L, González-Martín M L, Bruque J M

机构信息

Department of Physic, University of Extremadura, Av. Elvas s/n, 06071 Badajoz, Spain.

出版信息

J Colloid Interface Sci. 2002 Sep 15;253(2):472-4. doi: 10.1006/jcis.2002.8521.

DOI:10.1006/jcis.2002.8521
PMID:16290880
Abstract

Capillary rise is the basis of some methods employed for the determination of contact angles in porous materials. One of them consists of the measuring of the distance the liquid advances into the pores of the solid. Normally, the results are analyzed by a rectilinear fitting to Washburn's equation. However, if it is taken into account that the distance-time measurements can be made under numerous reference systems and that, therefore, Galileo's transformations must be considered, it can be proved that the analysis of the results has to be carried out by parabolic expression of Washburn's equation. Even more, this work demonstrates theoretically that the traditional expression of Washburn's equation is valid only to describe the distance-time measurements got from that place where the initial contact between the porous solid and the liquid is established.

摘要

毛细管上升是用于测定多孔材料接触角的一些方法的基础。其中一种方法是测量液体进入固体孔隙的距离。通常,通过对沃什伯恩方程进行直线拟合来分析结果。然而,如果考虑到距离-时间测量可以在众多参考系下进行,因此必须考虑伽利略变换,那么可以证明结果的分析必须通过沃什伯恩方程的抛物线表达式来进行。更重要的是,这项工作从理论上证明,沃什伯恩方程的传统表达式仅适用于描述从多孔固体与液体建立初始接触的位置获得的距离-时间测量结果。

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