Comparison of multi-component diffusion models in a single reactive particle

• Comparison of Maxwell-Stefan and Fick-Wilke diffusion in catalytic particles • Evaluation of flux-corrected and unresolved-species Fick-Wilke formulations • Simulations of ternary systems with parallel or consecutive first-order reactions • Fick-Wilke models fail to predict both effectiveness and selectivity consistently • Maxwell-Stefan model recommended for accurate multicomponent diffusion modeling Catalytic particles commonly appear in many multiphase reactors in the chemical industry. The transport-reaction behaviour in the particle has a significant impact on the overall reactor performance. In this work, the diffusive transport in the particle is modelled with the rigorous Maxwell-Stefan equations and simple Fick-Wilke diffusion. Several Fick—Wilke formulations are compared to the Maxwell—Stefan model for a ternary system with either a parallel or consecutive reaction scheme, considering variations in rate constants and binary diffusion coefficients. These include: (1) a formulation that resolves all components, (2) three variants in which one component is not resolved, and (3) a flux-corrected variant that enforces mass conservation. However, they are incapable of accurately capturing the whole range of behaviours or simultaneously capturing the effectiveness factor as well as the selectivity accurately. The study focuses on a simplified equimolar system to isolate the role of the diffusion closure; limitations, computational aspects of the Maxwell—Stefan formulation, and directions for future extensions are discussed.

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Publication Details

Journal
Chemical Engineering Science
Published
2025-09-24
DOI
https://doi.org/10.1016/j.ces.2025.122661
Citations
1
Primary Topic
Agriculture, Water, and Health
Type
article
Field-Weighted Citation Impact
0.82

Funders

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article

Comparison of multi-component diffusion models in a single reactive particle

1 citations
Chemical Engineering Science
Agriculture, Water, and Health
0.82
article

Comparison of multi-component diffusion models in a single reactive particle

article en
1 citations

Abstract

• Comparison of Maxwell-Stefan and Fick-Wilke diffusion in catalytic particles • Evaluation of flux-corrected and unresolved-species Fick-Wilke formulations • Simulations of ternary systems with parallel or consecutive first-order reactions • Fick-Wilke models fail to predict both effectiveness and selectivity consistently • Maxwell-Stefan model recommended for accurate multicomponent diffusion modeling Catalytic particles commonly appear in many multiphase reactors in the chemical industry. The transport-reaction behaviour in the particle has a significant impact on the overall reactor performance. In this work, the diffusive transport in the particle is modelled with the rigorous Maxwell-Stefan equations and simple Fick-Wilke diffusion. Several Fick—Wilke formulations are compared to the Maxwell—Stefan model for a ternary system with either a parallel or consecutive reaction scheme, considering variations in rate constants and binary diffusion coefficients. These include: (1) a formulation that resolves all components, (2) three variants in which one component is not resolved, and (3) a flux-corrected variant that enforces mass conservation. However, they are incapable of accurately capturing the whole range of behaviours or simultaneously capturing the effectiveness factor as well as the selectivity accurately. The study focuses on a simplified equimolar system to isolate the role of the diffusion closure; limitations, computational aspects of the Maxwell—Stefan formulation, and directions for future extensions are discussed.

Chemical Engineering ScienceVol. 320
Eindhoven University of Technology (NL)
Nederlandse Organisatie voor Wetenschappelijk Onderzoek
Openalex Percentile: Top 20%
Agriculture, Water, and Health
0.82
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Comparison of multi-component diffusion models in a single reactive particle · Chemical Engineering Science (2025) | TGRS Research Map | TGRS