Estimations of the Viscosities of Binary Mixtures with Different Equations of State and Mixing Rules

狀態方程式計算混合物之黏滯係數

林慶峰(Ching-Feng Lin) ； 謝秀敏(Hsiu-Min Hsieh) ； 李亮三(Liang-Sun Lee)

《Journal of the Chinese Institute of Chemical Engineers》 38卷1期 (2007/01) Pp. 1-19

摘要

黏度為描述流體流力性質時重要的參數。工業生產過程中，攬拌、過濾等單元操作以及流體流動、熱傳和質傳等的計算，均需流體的黏度性質，因此工程上除黏度數據的量測，亦需要合適的模式來做黏度做精準的估算。
本研究蒐集65個雙成分溶液系統，利用狀態方程式結合Eyring黏度模式的方法，探討Redlich-Kwong、Soave-Redlich-Kwong和Peng-Robinson三個雙參數與Harmens-Knapp、Schmidt-Wenzel、Patel-Teja和Iwai-Margerm-Lu四個三參數狀態方程式，結合van der Waals、van Laar和Redlich-Kister以三種混合律，與分別以密度、過剩體積之實驗數據所決定的最適化交互作用參數值、搭配進行對Eyring黏度模式的關聯和估算。
估算結果顯示本文中的雙成分混合溶液系統，以Peng-Robinson雙參數狀態方程式及Harmens-Knapp、Schmidt-Wenzel、Patel-Teja三參數狀態方程式，配合上述混合律可得到合理的關聯結果，且交互作用參數的影響最大。此外並觀察出黏度由混台物的密度關聯的交互作用參數計算出的結果要比由混合物的過剩體積關聯的交互作用參數所得到的準確。此結果與我們己報告的65種極性、非極性、酸及水的混合物的結果不同。本探討的計算結果皆以表的型式列出。

並列摘要

In this study, the Eyring's kinematic viscosity model was applied with the consideration that the activation free energy of flow was related to the excess free energy of mixtures and estimated with the equation of state (EOS). The effects of the equation of state, mixing rule, and interaction parameter on the viscosity estimations were considered.
The results of estimations obtained with three two-parameter EOS, Redlich-Kwong (PK), Soave-Redlich-Kwong (SPK), and Peng-Robinson (PR), and four three-parameter EOS, Patel-Teja (PT), Harmens-Knapp (HK), Iwai-Margerm-Lu (IML), and Schmidt-Wenzel (SW), were compared with the experimental data reported in literature. It is observed that among these EOS only the PT, HK, and SW EOS of three-parameter and the two-parameter EOS of Peng-Robinson can successfully estimate these viscosities. It is observed that the molecular interaction parameter dominantly affects the estimation results. The estimations with the interaction parameters correlated from the densities of mixtures are better than those obtained from the excess volumes. This is a different observation from our pervious work where 65 binary mixtures consisting of nonpolar, polar, and acidic compounds, and water were correlated with the same EOS and mixing rules applied here. The average absolute relative deviations and the binary interaction parameters of the successful estimations are given in two tables for reference. The details of the estimation are discussed.

並列關鍵字

Equation of state ； Mixing rule ； Viscosity