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1 引言 以往用于多元体系汽液平衡的热力学一致性逐点检验的算法大多是有限差分法,对三元体系变成求解10~4～10~6量级的非线性方程组,收敛速度极慢,计算不稳定,难以实际应用。以后不同作者提出不同方法使多元体系热力学一致性逐点检验得到相应的改善。本文将加权残差法的特例——最小二乘法,用于四元体系恒温及恒压的汽液平衡的热力学一致性逐点检验。
1 Introduction Most of the previous algorithms for point-by-point thermodynamic agreement of vapor-liquid equilibrium in multivariate systems are mostly finite difference methods. For the ternary system, it becomes a nonlinear system of equations of the order of 10 ~ 4 ~ 10 ~ 6. The convergence rate Slow, unstable calculation, difficult to practical application. After different authors put forward different ways to make the thermodynamic consistency of the multi-component system point by point test to be the corresponding improvement. In this paper, a special case of the weighted residual method - the least square method, is used for the point-by-point thermodynamic agreement of the vapor-liquid equilibrium of the quaternary system at constant temperature and constant pressure.