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首页> 外文期刊>The Canadian Journal of Chemical Engineering >PREDICTION OF AZEOTROPIC BEHAVIOUR BY THE INVERSION OF FUNCTIONS FROM THE PLANE TO THE PLANE
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PREDICTION OF AZEOTROPIC BEHAVIOUR BY THE INVERSION OF FUNCTIONS FROM THE PLANE TO THE PLANE

机译：通过从平面到平面的函数求逆来预测共沸行为

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摘要

Azeotropy is a thermodynamic phenomenon where liquid and vapour coexisting phases have the same composition. In binary mixtures, the azeotropy calculation is represented by a 2x2 nonlinear system of algebraic equations with temperature (or pressure) and one molar fraction as unknowns. On rare occasions, this nonlinear system exhibits two solutions, characterizing a double azeotrope. In this work, we calculate double azeotropes with a geometry-based methodology: the numerical inversion of functions from the plane to the plane. We present results for two mixtures where the double azeotropy phenomenon occurs: the system benzene+hexafluorobenzene and the system 1,1,1,2,3,4,4,5,5,5-decafluoropentane+oxolane. The persistence of double azeotropes across different pressures is made clear by this global geometric approach. Moreover the vanishing of the existence of a pair of azeotropes is explained by the coalescence of them in just one, as can be easily understood from a global geometric viewpoint presented of the nonlinear function involved. The results indicate that this methodology can be a powerful tool for a better understanding of nonlinear algebraic systems in phase coexistence problems.
机译：共沸是一种热力学现象，液相和气相共存。在二元混合物中，共沸计算由2x2非线性代数方程组系统表示，其中温度（或压力）和一个摩尔分数为未知数。在极少数情况下，此非线性系统会表现出两种解，这是双重共沸物的特征。在这项工作中，我们使用基于几何的方法来计算双共沸物：函数从平面到平面的数值反演。我们给出了发生双共沸现象的两种混合物的结果：系统苯+六氟苯和系统1,1,1,2,3,4,4,5,5,5-十氟戊烷+氧戊烷。这种整体几何方法清楚地表明了在不同压力下双共沸物的持久性。而且，一对共沸物的存在的消失可以通过仅在一个共沸物中的结合来解释，这可以很容易地从所涉及的非线性函数的整体几何观点来理解。结果表明，该方法可以作为一个更好的工具，用于更好地理解相位共存问题中的非线性代数系统。

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