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Canonical Form and Mathematical Interpretation of Electrolyte Solution Systems
Yoo, Kee-Youn,He, Jiwen,Amundson, Neal R. 한국화학공학회 2004 Korean Journal of Chemical Engineering Vol.21 No.2
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.
Canonical Form and Mathematical Interpretation of Electrolyte Solution Systems
Jiwen He,Kee-Youn Yoo,Neal R. Amundson 한국화학공학회 2004 Korean Journal of Chemical Engineering Vol.21 No.2
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 solutionsystems and the Karush-Kuhn-Tucker (KKT) conditions for the minimization of the total Gibs free energy. As a result,the mathematical role of solid species in the solid-liquid equilibrium problem is explained as a Lagrange multiplierof a sort of the linearly constrained optimization problem. This finding wil add to the development of an efficientnumerical algorithm for the simulation of electrolyte solution systems.