Reactive [Formula presented]-species Cahn–Hilliard system: A thermodynamically-consistent model for reversible chemical reactions

S. P. Clavijo, A. F. Sarmiento, L. F.R. Espath*, L. Dalcin, A. M.A. Cortes, V. M. Calo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We introduce a multicomponent Cahn–Hilliard system with multiple reversible chemical reactions. We derive the conservation laws of the multicomponent system within the thermodynamical constraints. Furthermore, we consider multiple chemical reactions based on the mass action law. This coupling reproduces phase separation under spinodal decomposition as a chemical reaction between the species takes place. Finally, we perform a numerical simulation to show the robustness of the model as well as the resulting patterns.

Original languageEnglish (US)
Pages (from-to)143-154
Number of pages12
JournalJournal of Computational and Applied Mathematics
Volume350
DOIs
StatePublished - Apr 2019

Keywords

  • Chemical reactions
  • Isogeometric analysis
  • Multicomponent Cahn–Hilliard
  • Spinodal decomposition

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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