Transport of heat and mass for reactive gas mixtures in porous media: Modeling and application
Authors
- Brust, David
- Hopf, Katharina
ORCID: 0000-0002-6527-2256 - Fuhrmann, Jürgen
ORCID: 0000-0003-4432-2434 - Cheilytko, Andrii
- Wullenkord, Michael
- Sattler, Christian
2020 Mathematics Subject Classification
- 76S99 78M40 80M40
Keywords
- Modeling, porous media, two-scale homogenization, photo-thermal reactor, thermodiffusion
DOI
Abstract
We present a modeling framework for multi-component, reactive gas mixtures and heat transport in porous media based on the Maxwell--Stefan and Darcy equations for multi-component diffusion and forced, viscous flow through porous media. Analysis of the model equations reveals thermodynamic con- sistency and uniqueness of steady states, while their mathematical structure facilitates discretization via the Finite-Volume approach resulting in an open- source based implementation of the modeling framework in Julia. The model allows to impose boundary conditions that accurately reflect the conditions prevailing in a photo-thermal chemical reactor that is subsequently intro- duced as a case study for the modeling framework. Comparison of numerical with experimental results reveals good agreement. Improvement options for the physical reactor are derived from simulation results demonstrating the practical utility of the modeling framework. Additionally, the framework is used for the simulation of thermodiffusion in a ternary gas mixture and has been verified with published numerical results with very good agreement.
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