We propose an alternative approach to calculate viscosity, based on the Rosenfeld scaling theory, which can be applied to pure components and their mixtures in a wide range of temperatures, pressures, and compositions. The Helmholtz scaling (A-scaling) applies the Chapman–Enskog relation, an Ansatz function, and the PCP-SAFT equation of state to predict the viscosity. Although it was implemented with the PCP-SAFT EoS, A-scaling has potential to be coupled with other EoS. Substances from n-alkanes, alcohols, aromatics, ethers, chlorofluorocarbons, carbon dioxide, and nitrogen were used to obtain five parameters to better correlate the experimental viscosity data. We tested the A-scaling performance of predicting the viscosity of 33 binary mixtures at different temperature and pressure conditions. For pure components, the minimum and maximum average absolute deviations (AADs) were 1.51 and 6.53%, respectively. Meanwhile, for mixtures, 0.70 and 23.95% were the lowest and highest values. By comparing this method with the successful and consolidated entropy scaling, it was found that AADs in most of the pure substances and mixtures were lower for A-scaling. Thus, since it is suitable for polar, nonpolar, and hydrogen-bonding substances, A-scaling covers many substances for industry applications, with no usage of adjustable parameters to predict viscosity for mixtures.

中文翻译：

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亥姆霍兹标度：使用 PCP-SAFT 状态方程计算粘度的替代方法

我们基于 Rosenfeld 标度理论提出了一种计算粘度的替代方法，该方法可应用于各种温度、压力和组成的纯组分及其混合物。Helmholtz 标度（A 标度）应用 Chapman-Enskog 关系、Ansatz 函数和 PCP-SAFT 状态方程来预测粘度。尽管它是通过 PCP-SAFT EoS 实现的，但 A-scaling 有可能与其他 EoS 结合使用。来自n 的物质-烷烃、醇、芳烃、醚、氯氟烃、二氧化碳和氮气用于获得五个参数以更好地关联实验粘度数据。我们测试了预测 33 种二元混合物在不同温度和压力条件下的粘度的 A 标度性能。对于纯组分，最小和最大平均绝对偏差 (AAD) 分别为 1.51% 和 6.53%。同时，对于混合物，0.70 和 23.95% 是最低和最高值。通过将此方法与成功且综合的熵标度进行比较，发现对于 A 标度而言，大多数纯物质和混合物中的 AAD 较低。因此，由于它适用于极性、非极性和氢键物质，因此 A-scaling 涵盖了许多工业应用的物质，