Thermochemical multi-phase models applying the constrained gibbs energy method

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

4 Citations (Scopus)

Abstract

Computation of chemical equilibria in multiphase systems by Gibbs free energy minimization under constraints set by the material balance has increasing interest in many application fields, including materials technology, metallurgy and chemical engineering. The results are utilised in multi-phase equilibrium studies or as parts of equilibrium-based process simulation. Yet, there exist a number of practical problems where the chemical system is influenced by other constraining factors such as surface energy or electrochemical charge transport. For such systems, an extended Gibbs energy method has been applied. In the new method, the potential energy is introduced to the Gibbs energy calculation as a Legendre transformed work term divided into substance specific contributions. The additional constraint potential is then represented by a supplementary undertermined Lagrange multiplier.

In addition, upper bounds on the amounts of products can be set, which then limit the maximum extents of selected spontaneous chemical reactions in terms of affinity. The range of Gibbs energy calculations can then be extended to new intricate systems. Example models based on free energy minimisation have been made e.g. for surface and interfacial systems, where the surface, interfacial or adsorbed atomic or molecular layers are modeled as separate phases. In an analogous fashion the partitioning effect of a semi-permeable membrane in a two-compartment aqueous system can be modeled. In such system the large ions, not permeable through the membrane, cause an uneven charge distribution of ionic species between the two compartments. In this case, the electrochemical potential difference between the two aqueous phases becomes calculated for the multi-component system. The calculated results are consistent with the Donnan equilibrium theory; however the multi-phase system may also include the gas phase and several precipitating phases, which extends the applicability of the new method. Finally, similar constraints can also be set to extents of reaction advancements, allowing usage of Gibbs energy calculations in dynamic reaction rate controlled systems.
Original languageEnglish
Title of host publication18th European Symposium on Computer Aided Process Engineering
EditorsBertrand Braunschweig, Xavier Joulia
PublisherElsevier
Pages883-888
ISBN (Print)978-0-444-53227-5
DOIs
Publication statusPublished - 2008
MoE publication typeA4 Article in a conference publication
Event18th European Symposium on Computer Aided Process Engineering -
Duration: 1 Jan 2008 → …

Publication series

SeriesComputer Aided Chemical Engineering
Volume25
ISSN1570-7946

Conference

Conference18th European Symposium on Computer Aided Process Engineering
Period1/01/08 → …

Fingerprint

Gibbs free energy
Membranes
Lagrange multipliers
Charge distribution
Chemical engineering
Metallurgy
Potential energy
Heavy ions
Interfacial energy
Phase equilibria
Free energy
Reaction rates
Charge transfer
Chemical reactions
Gases

Keywords

  • Gibbs energy calculation
  • Gibbs energy minimization
  • ion exchange
  • multi-phase chemistry
  • reaction rate
  • surface tension

Cite this

Pajarre, R., Blomberg, P., & Koukkari, P. (2008). Thermochemical multi-phase models applying the constrained gibbs energy method. In B. Braunschweig, & X. Joulia (Eds.), 18th European Symposium on Computer Aided Process Engineering (pp. 883-888). Elsevier. Computer Aided Chemical Engineering, Vol.. 25 https://doi.org/10.1016/S1570-7946(08)80153-8
Pajarre, Risto ; Blomberg, Peter ; Koukkari, Pertti. / Thermochemical multi-phase models applying the constrained gibbs energy method. 18th European Symposium on Computer Aided Process Engineering. editor / Bertrand Braunschweig ; Xavier Joulia. Elsevier, 2008. pp. 883-888 (Computer Aided Chemical Engineering, Vol. 25).
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Pajarre, R, Blomberg, P & Koukkari, P 2008, Thermochemical multi-phase models applying the constrained gibbs energy method. in B Braunschweig & X Joulia (eds), 18th European Symposium on Computer Aided Process Engineering. Elsevier, Computer Aided Chemical Engineering, vol. 25, pp. 883-888, 18th European Symposium on Computer Aided Process Engineering, 1/01/08. https://doi.org/10.1016/S1570-7946(08)80153-8

Thermochemical multi-phase models applying the constrained gibbs energy method. / Pajarre, Risto (Corresponding author); Blomberg, Peter; Koukkari, Pertti.

18th European Symposium on Computer Aided Process Engineering. ed. / Bertrand Braunschweig; Xavier Joulia. Elsevier, 2008. p. 883-888 (Computer Aided Chemical Engineering, Vol. 25).

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

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Pajarre R, Blomberg P, Koukkari P. Thermochemical multi-phase models applying the constrained gibbs energy method. In Braunschweig B, Joulia X, editors, 18th European Symposium on Computer Aided Process Engineering. Elsevier. 2008. p. 883-888. (Computer Aided Chemical Engineering, Vol. 25). https://doi.org/10.1016/S1570-7946(08)80153-8