Canonical form and mathematical interpretation of electrolyte solution systems

被引：4

作者：

Yoo, KY ^{[1
]}

He, JW ^{[1
]}

Amundson, NR ^{[1
]}

机构：

[1] Univ Houston, Dept Math, Houston, TX 77204 USA

来源：

KOREAN JOURNAL OF CHEMICAL ENGINEERING | 2004年 / 21卷 / 02期

关键词：

electrolyte solution; canonical form; solid-liquid equilibrium; Lagrange multiplier; inorganic aerosol;

D O I：

10.1007/BF02705413

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

We describe a canonical form of electrolyte solution systems for the mathematical interpretation of solid-liquid equilibrium. The canonical form is obtained from the analysis of the algebraic structure of electrolyte solution systems and the Karush-Kuhn-Tucker (KKT) conditions for the minimization of the total Gibbs free energy. As a result, the mathematical role of solid species in the solid-liquid equilibrium problem is explained as a Lagrange multiplier of a sort of the linearly constrained optimization problem. This finding will add to the development of an efficient numerical algorithm for the simulation of electrolyte solution systems.

引用

页码：303 / 307

页数：5

共 5 条

[1]

Fletcher R., 1981, PRACTICAL METHODS OP

[2]

HONG YS, 2003, KOREAN J CHEM ENG, V20, P185

[3] Phase transitions of aqueous atmospheric particles [J].