论文标题
通过分析近似于VLE问题的解决方案的SRK方程
Analytically approximate solution to the VLE problem with the SRK equation of state
论文作者
论文摘要
由于先验方程参与了具有状态立方方程(EOS)的蒸气液平平衡(VLE)计算,因此必须使用迭代方法进行数值执行任何精确的溶液[1,2]。这会导致重复的人类努力和计算资源的大量废物。基于对Maxwell Construction [4]和Van der Waals EOS [5]的最新研究[3],在这里,我们提出了一种程序,以使用SOAVE-REDLICH-KWONG(SRK)EOS [6]开发分析近似于VLE计算的解决方案[6]。该过程可以应用于任何立方EOS,从而为EOS研究打开了一个新领域。对于工业应用,可以仅包含新定义功能的系数和其他热力学属性的系数构建简单的数据库。对于每个系统,只有一次性的努力,因此,可以避免由重复性努力造成的废物。顺便说一句,我们还表明,对于精确的解决方案,可以减少任何立方EOS的VLE问题来求解具有一个未知的先验方程,这可以显着简化当前使用的方法[2,7]。
Since a transcendental equation is involved in vapor liquid equilibrium (VLE) calculations with a cubic equation of state (EoS), any exact solution has to be carried out numerically with an iterative approach [1,2]. This causes significant wastes of repetitive human efforts and computing resources. Based on a recent study [3] on the Maxwell construction [4] and the van der Waals EoS [5], here we propose a procedure for developing analytically approximate solutions to the VLE calculation with the Soave-Redlich-Kwong (SRK) EoS [6] for the entire coexistence curve. This procedure can be applied to any cubic EoS and thus opens a new area for the EoS study. For industrial applications, a simple databank can be built containing only the coefficients of a newly defined function and other thermodynamic properties will be obtained with analytical forms. For each system there is only a one-time effort, and therefore, the wastes caused by the repetitive efforts can be avoided. By the way, we also show that for exact solutions, the VLE problem with any cubic EoS can be reduced to solving a transcendental equation with one unknown, which can significantly simplify the methods currently employed [2,7].