一些半经验立方型流体状态方程的近似推导

APPROXIMATE DERIVATION OF QUASI-EMPIRICAL CUBIC EQUATIONS OF STATE FOR FLUIDS

将virial方程高次项的贡献近似地整合到三项截断式中 ,然后利用第 2virial系数B的近似式对virial方程的二项及三项截断式进行不同的形式变换和扩展 ,近似地得到了Martin、Abott的总包性立方型方程以及一些半经验立方型方程或其类似形式 ,如vanderWaals、Clausius、Redlich Kwong、Usdin McAuliffe (Fuller)、Martin、Peng Robinson、Patel Teja、Harmens Knapp、Tong Liu、LHSS、MKS、Du Guo、CCOR、SIRK ,Lee Edmister方程等 ,这表明上述方程具有一定的统计力学基础 .另用同样方法得到了 9个新的三次方程 ,其中有些方程在形式和参数方面具有较大的灵活性 。

The contributions of the high-order terms in virial equation are approximately incorporated into the truncated virial equations with three terms in this paper. By means of the approximate expression of second virial coefficient and some transformations and extensions of truncated virial equations with two and three terms, the general cubic equations of state proposed by Martin and Abott, and some quasi-empirical equations of state or their similar forms are derived approximately, such as van der Waals, Clausius, Redlich-Kwong, Usdin-McAuliffe (Fuller), Martin, Peng-Robinson, Patel-Teja, Harmens-Knapp, Tong-Liu, LHSS, Modified Kumar-Starling, Du-Guo, CCOR, SIRK, Lee-Edmister equation, etc. The results indicate that the above equations are supported by statistical mechanics in some way. Besides, nine new cubic equations of state are obtained with the same method, some of which are flexible in form or parameters and prospective in application.