Reactive flow and reaction-induced boundary movement in a thin channel
We study the reactive flow in a thin strip where the geometry changes take place due to reactions. Specifically, we consider precipitation-dissolution processes taking place at the lateral boundaries of the strip. The geometry changes depend on the concentration of the solute in the bulk (trace of t...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2013
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| In: |
SIAM journal on scientific computing
Year: 2013, Volume: 35, Issue: 6, Pages: B1235-B1266 |
| ISSN: | 1095-7197 |
| DOI: | 10.1137/130913134 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1137/130913134 Verlag, Volltext: http://epubs.siam.org/doi/abs/10.1137/130913134 Verlag, Volltext: http://epubs.siam.org/doi/pdf/10.1137/130913134 
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| Author Notes: | K. Kumar, M. Wheeler, T. Wick |
| Summary: | We study the reactive flow in a thin strip where the geometry changes take place due to reactions. Specifically, we consider precipitation-dissolution processes taking place at the lateral boundaries of the strip. The geometry changes depend on the concentration of the solute in the bulk (trace of the concentration), which makes the problem a free-moving boundary problem. The numerical computations are challenging in view of the nonlinearities in the description of the reaction rates. In addition to this, the movement of the boundary depends on the unknown concentration (and hence part of the solution), and the computation of the coupled model remains a delicate issue. Our aim is to develop appropriate numerical techniques for the computation of the solutions of the coupled convection-diffusion problem and the equation describing the geometry changes. The performance is demonstrated with the help of several numerical tests. |
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| Item Description: | Gesehen am 21.12.2017 |
| Physical Description: | Online Resource |
| ISSN: | 1095-7197 |
| DOI: | 10.1137/130913134 |