Finite transition times for multispecies diffusion in heterogeneous media coupled via first-order reaction networks
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Description
Calculating how long a coupled multispecies reactive-diffusive transport process in a heterogeneous medium takes to effectively reach steady state is important in many applications. In this paper, we show how the time required for such processes to transition to within a small specified tolerance of steady state can be calculated accurately without having to solve the governing time-dependent model equations. Our approach is valid for general first-order reaction networks and an arbitrary number of species. Three numerical examples are presented to confirm the analysis and investigate the efficacy of the approach. A key finding is that for sequential reactions our approach works better provided the two smallest reaction rates are well separated.
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| ID Code: | 202188 | ||
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| Item Type: | Contribution to Journal (Journal Article) | ||
| Refereed: | Yes | ||
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| Measurements or Duration: | 7 pages | ||
| DOI: | 10.1103/PhysRevE.102.012107 | ||
| ISSN: | 2470-0053 | ||
| Pure ID: | 63538686 | ||
| Divisions: | Past > Institutes > Institute for Future Environments Past > QUT Faculties & Divisions > Science & Engineering Faculty ?? 3232 ?? Current > Research Centres > Centre for Tropical Crops and Biocommodities |
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| Funding Information: | This research was partially supported by the Australian Mathematical Sciences Institute (AMSI), who provided the second author with a 2019–2020 Vacation Research Scholarship. | ||
| Copyright Owner: | 2020 American Physical Society | ||
| Copyright Statement: | This work is covered by copyright. Unless the document is being made available under a Creative Commons Licence, you must assume that re-use is limited to personal use and that permission from the copyright owner must be obtained for all other uses. If the document is available under a Creative Commons License (or other specified license) then refer to the Licence for details of permitted re-use. It is a condition of access that users recognise and abide by the legal requirements associated with these rights. If you believe that this work infringes copyright please provide details by email to qut.copyright@qut.edu.au | ||
| Deposited On: | 17 Jul 2020 04:45 | ||
| Last Modified: | 07 Mar 2024 23:26 |
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