Abstract
Herein, the geometric similitude concept is applied to propose a cubic equation that relates surface tension, saturation pressure, and temperature for n-alkanes. The input properties for each fluid are the molecular mass, pressure, temperature, and compressibility factor at the critical point. The model is applied to temperatures below 0.93·Tc (critical point temperature). A total of 2429 surface tension values have been selected for 32 n-alkanes. The parameters of the model have been obtained with a fit of the surface tension values for 19 pure n-alkanes that are randomly chosen. Then, it is tested for the other 13 pure n-alkanes and used to predict the surface tension for 11 binary and 4 ternary mixtures. These predictions are compared with the reported experimental data. For pure n-alkanes, the overall absolute average deviation is 2.4%, including the correlation and testing sets. No additional adjustable coefficients are used for mixtures, yielding an overall absolute average deviation of 2.98% for the binary systems and 7.97% for the ternary ones. The results show that the model is accurate enough for predictions and that the highest deviations are due to the lack of agreement in the values of surface tension of pure fluids obtained from different sources.
Highlights
Surface tension is an essential property of liquids, needed for the theoretical and practical studies of different processes such as, for instance, bubble and droplet formation, wetting, capillarity, detergency, atomization, formation of aerosols and sprays, injection of fuels, and so forth.[1−8]In particular, pure liquid n-alkanes and their mixtures are commonly used in some industrial processes, like those including classical combustibles, biofuels, and solvents, which are of high importance and have temperature dependence on their surface tension.[6,9−18] it is an essential property; for instance, in the study of the injection of surfactants into the extract crude oil.[6]
Article to acceptable accurate solutions according to the results presented in the literature.[92−94] The objective function to be minimized is the mean of the average absolute relative deviations (AADs) between the values determined by the equation of state (EoS) model and the selected data for each fluid
It is remarkable how these average deviations (AADs) are of the same order of magnitude as those calculated for the pure fluids, even though the model is fully predictive in this case
Summary
Pure liquid n-alkanes and their mixtures are commonly used in some industrial processes, like those including classical combustibles, biofuels, and solvents, which are of high importance and have temperature dependence on their surface tension.[6,9−18] it is an essential property; for instance, in the study of the injection of surfactants into the extract crude oil.[6] In a few words, as the injection process can be affected by the miscibility process, it is needed to estimate the so-called minimum miscibility pressure. In other cases, liquefied natural gas is used as a fuel, and the values of the surface tension of alkanes at high pressures are needed to characterize it.[10,28] the knowledge of vapor−liquid equilibrium properties and surface tension of n-alkanes and alcohols is required to study additives commonly used in fuels.[13−15,29,30]
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