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本文导出了多组分系统汽液相平衡的控制方程并提出了相应的非线性联立方程组解法。使用 MATLAB 优化工具箱及 SRK 状态方程描述混合物中各组分在汽相和液相中的逸度系数,应用非线性联立方程组解法对乙烷,丙烷,正丁烷,正戊烷及正己烷混合物在系统总压力为 1723 KPa,汽相摩尔分数从 0.0 变化到 1.0 时的汽液相平衡进行了计算,结果表明:控制方程的最大绝对偏差小于 1.7×10-8Pa。采用本文提供的初值估计方法,汽液相平衡计算的非线性联立方程组解法在可靠性、稳定性上适用于多组分系统汽液相平衡的计算。
In this paper, we derive the governing equations of vapor-liquid equilibrium of multi-component systems and propose the corresponding solution of nonlinear simultaneous equations. Using MATLAB optimization toolbox and SRK equation of state, the fugacity coefficient of each component in the mixture in the vapor phase and the liquid phase is described. By using the nonlinear simultaneous equations method, the solubility of ethane, propane, n-butane, n-pentane and n- The equilibrium of vapor-liquid mixture was calculated at a total system pressure of 1723 KPa and a vapor fraction mole fraction of 0.0 to 1.0. The results show that the maximum absolute deviation of the control equation is less than 1.7 × 10 -8 Pa. Using the method of initial value estimation provided in this paper, the solution of nonlinear simultaneous equations of vapor-liquid phase equilibrium is suitable for the calculation of vapor-liquid equilibrium of multi-component systems in terms of reliability and stability.