Constrained and extended free energy minimisation for modelling of processes and materials

Research output: Contribution to journalArticleScientificpeer-review

8 Citations (Scopus)

Abstract

Computational methods in chemical equilibrium thermodynamics have found numerous application areas in diverse fields such as metallurgy, petrochemistry, the pulp and paper industry, the study of advanced inorganic materials, environmental science and biochemistry. As many of the cases of interest are not actually in equilibrium, there is a need for methods that extend the application area of multiphase equilibrium solvers to non-equilibrium systems. Likewise there is a need for efficient handling of thermochemical systems that are described by parameters other than those most commonly associated with Gibbs energy, namely temperature, pressure and fixed elemental (and charge) balances. In the work computational methods and related theory are presented that can be used with a standard Gibbs energy minimiser to solve advanced thermochemical problems. The actual calculations have been performed using the ChemSheet software, but the presentation has aimed to be generic and applicable to other thermochemical codes that allow the user to define thermodynamic data and the stoichiometries of the constituent species in the system. The examples discussed include electrochemical Donnan equilibrium (particularly applied to aqueous pulp suspensions), surface and interfacial energies of liquid mixtures, systems affected by external magnetic fields and systems with time-dependent reaction extents and diffusion-constrained paraequilibrium. A number of practical applications have been achieved with the models that combine reaction kinetics with partial thermodynamic equilibrium calculation and ion exchange models based on Donnan equilibrium, that have both been applied with success in real-life industrial design and development work with multicomponent, multiphase systems. The method has been successfully applied to liquid surface energies of systems with multiple components and complex non-equilibrium data.
Original languageEnglish
Pages (from-to)244-258
JournalChemical Engineering Science
Volume146
DOIs
Publication statusPublished - 2016
MoE publication typeA1 Journal article-refereed

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Interfacial energy
Free energy
Thermodynamics
Gibbs free energy
Computational methods
Biochemistry
Paper and pulp industry
Liquids
Metallurgy
Product design
Reaction kinetics
Stoichiometry
Pulp
Ion exchange
Suspensions
Magnetic fields
Temperature

Keywords

  • Gibbs free energy minimization
  • surface tension
  • Donnan equilibrium
  • reaction rate
  • paraequilibrium
  • nanoparticles

Cite this

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title = "Constrained and extended free energy minimisation for modelling of processes and materials",
abstract = "Computational methods in chemical equilibrium thermodynamics have found numerous application areas in diverse fields such as metallurgy, petrochemistry, the pulp and paper industry, the study of advanced inorganic materials, environmental science and biochemistry. As many of the cases of interest are not actually in equilibrium, there is a need for methods that extend the application area of multiphase equilibrium solvers to non-equilibrium systems. Likewise there is a need for efficient handling of thermochemical systems that are described by parameters other than those most commonly associated with Gibbs energy, namely temperature, pressure and fixed elemental (and charge) balances. In the work computational methods and related theory are presented that can be used with a standard Gibbs energy minimiser to solve advanced thermochemical problems. The actual calculations have been performed using the ChemSheet software, but the presentation has aimed to be generic and applicable to other thermochemical codes that allow the user to define thermodynamic data and the stoichiometries of the constituent species in the system. The examples discussed include electrochemical Donnan equilibrium (particularly applied to aqueous pulp suspensions), surface and interfacial energies of liquid mixtures, systems affected by external magnetic fields and systems with time-dependent reaction extents and diffusion-constrained paraequilibrium. A number of practical applications have been achieved with the models that combine reaction kinetics with partial thermodynamic equilibrium calculation and ion exchange models based on Donnan equilibrium, that have both been applied with success in real-life industrial design and development work with multicomponent, multiphase systems. The method has been successfully applied to liquid surface energies of systems with multiple components and complex non-equilibrium data.",
keywords = "Gibbs free energy minimization, surface tension, Donnan equilibrium, reaction rate, paraequilibrium, nanoparticles",
author = "Risto Pajarre and Pertti Koukkari and Petteri Kangas",
year = "2016",
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}

Constrained and extended free energy minimisation for modelling of processes and materials. / Pajarre, Risto; Koukkari, Pertti; Kangas, Petteri.

In: Chemical Engineering Science, Vol. 146, 2016, p. 244-258.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

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AU - Koukkari, Pertti

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AB - Computational methods in chemical equilibrium thermodynamics have found numerous application areas in diverse fields such as metallurgy, petrochemistry, the pulp and paper industry, the study of advanced inorganic materials, environmental science and biochemistry. As many of the cases of interest are not actually in equilibrium, there is a need for methods that extend the application area of multiphase equilibrium solvers to non-equilibrium systems. Likewise there is a need for efficient handling of thermochemical systems that are described by parameters other than those most commonly associated with Gibbs energy, namely temperature, pressure and fixed elemental (and charge) balances. In the work computational methods and related theory are presented that can be used with a standard Gibbs energy minimiser to solve advanced thermochemical problems. The actual calculations have been performed using the ChemSheet software, but the presentation has aimed to be generic and applicable to other thermochemical codes that allow the user to define thermodynamic data and the stoichiometries of the constituent species in the system. The examples discussed include electrochemical Donnan equilibrium (particularly applied to aqueous pulp suspensions), surface and interfacial energies of liquid mixtures, systems affected by external magnetic fields and systems with time-dependent reaction extents and diffusion-constrained paraequilibrium. A number of practical applications have been achieved with the models that combine reaction kinetics with partial thermodynamic equilibrium calculation and ion exchange models based on Donnan equilibrium, that have both been applied with success in real-life industrial design and development work with multicomponent, multiphase systems. The method has been successfully applied to liquid surface energies of systems with multiple components and complex non-equilibrium data.

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