Department of Chemical and Materials Engineering, University of Alberta , Edmonton, Alberta T6G 1H9, Canada.
Langmuir. 2017 Oct 17;33(41):11077-11085. doi: 10.1021/acs.langmuir.7b02587. Epub 2017 Oct 4.
Surface tension dictates fluid behavior, and predicting its magnitude is vital in many applications. Equations have previously been derived to describe how the surface tension of pure liquids changes with temperature, and other models have been derived to describe how the surface tension of mixtures changes with liquid-phase composition. However, the simultaneous dependence of surface tension on temperature and composition for liquid mixtures has been less studied. Past approaches have required extensive experimental data to which models have been fit, yielding a distinct set of fitting parameters at each temperature or composition. Herein, we propose a model that requires only three fitting procedures to predict surface tension as a function of temperature and composition. We achieve this by analyzing and extending the Shereshefsky (J. Colloid Interface Sci. 1967, 24 (3), 317-322), Li et al. (Fluid Phase Equilib. 2000, 175, 185-196), and Connors-Wright (Anal. Chem. 1989, 61 (3), 194-198) models to high temperatures for 15 aqueous systems. The best extensions of the Shereshefsky, Li et al., and Connors-Wright models achieve average relative deviations of 2.11%, 1.20%, and 0.62%, respectively, over all systems. We thus recommend the extended Connors-Wright model for predicting the surface tension of aqueous mixtures at different temperatures with the tabulated coefficients herein. An additional outcome of this study is the previously unreported equivalence of the Li et al. and Connors-Wright models in describing experimental data of surface tension as a function of composition at a single temperature.
表面张力决定了流体的行为，因此预测其大小在许多应用中至关重要。先前已经推导出了描述纯液体表面张力随温度变化的方程，并且还推导出了描述混合物表面张力随液相组成变化的其他模型。然而，对于液体混合物的表面张力同时随温度和组成的依赖性的研究较少。过去的方法需要广泛的实验数据来拟合模型，从而在每个温度或组成下产生一组独特的拟合参数。在此，我们提出了一种仅需要三个拟合程序即可预测表面张力作为温度和组成函数的模型。我们通过分析和扩展 Shereshefsky（J. Colloid Interface Sci. 1967, 24 (3), 317-322），Li 等人（Fluid Phase Equilib. 2000, 175, 185-196）和 Connors-Wright（Anal. Chem. 1989, 61 (3), 194-198）模型来实现这一目标，这些模型适用于 15 种水相体系的高温情况。对 Shereshefsky、Li 等人和 Connors-Wright 模型的最佳扩展分别在所有体系中实现了平均相对偏差 2.11％、1.20％和 0.62％。因此，我们建议使用扩展的 Connors-Wright 模型来预测不同温度下水混合物的表面张力，此处列出了系数。本研究的另一个结果是，Li 等人和 Connors-Wright 模型在描述单个温度下表面张力随组成变化的实验数据方面以前未被报道过等效。
