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 language | English (US) |
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Pages (from-to) | 143-154 |
Number of pages | 12 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 350 |
DOIs | |
State | Published - Apr 2019 |
Bibliographical note
Publisher Copyright:© 2018 Elsevier B.V.
Keywords
- Chemical reactions
- Isogeometric analysis
- Multicomponent Cahn–Hilliard
- Spinodal decomposition
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics