Canonical form and mathematical interpretation of electrolyte solution systems

Kee Youn Yoo; Jiwen He; Neal R. Amundson

doi:10.1007/BF02705413

Canonical form and mathematical interpretation of electrolyte solution systems

Kee Youn Yoo, Jiwen He, Neal R. Amundson

Dept. of Chemical and Biomolecular Engineering

University of Houston

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	303-307
Number of pages	5
Journal	Korean Journal of Chemical Engineering
Volume	21
Issue number	2
DOIs	https://doi.org/10.1007/BF02705413
State	Published - Mar 2004

Keywords

Canonical Form
Electrolyte Solution
Inorganic Aerosol
Lagrange Multiplier
Solid-Liquid Equilibrium

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10.1007/BF02705413

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title = "Canonical form and mathematical interpretation of electrolyte solution systems",

abstract = "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.",

keywords = "Canonical Form, Electrolyte Solution, Inorganic Aerosol, Lagrange Multiplier, Solid-Liquid Equilibrium",

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T1 - Canonical form and mathematical interpretation of electrolyte solution systems

AU - Yoo, Kee Youn

AU - He, Jiwen

AU - Amundson, Neal R.

PY - 2004/3

Y1 - 2004/3

N2 - 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.

AB - 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.

KW - Canonical Form

KW - Electrolyte Solution

KW - Inorganic Aerosol

KW - Lagrange Multiplier

KW - Solid-Liquid Equilibrium

UR - https://www.scopus.com/pages/publications/2942673013

U2 - 10.1007/BF02705413

DO - 10.1007/BF02705413

M3 - Article

AN - SCOPUS:2942673013

SN - 0256-1115

VL - 21

SP - 303

EP - 307

JO - Korean Journal of Chemical Engineering

JF - Korean Journal of Chemical Engineering

IS - 2

ER -

Canonical form and mathematical interpretation of electrolyte solution systems

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Keywords

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