{"title":"单一反应粒子中多组分扩散模型的比较","authors":"C.M.Y. Claassen , S. Tadayon Mousavi , M.W. Baltussen , E.A.J.F. Peters , J.A.M. Kuipers","doi":"10.1016/j.ces.2025.122661","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":271,"journal":{"name":"Chemical Engineering Science","volume":"320 ","pages":"Article 122661"},"PeriodicalIF":4.3000,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Comparison of multi-component diffusion models in a single reactive particle\",\"authors\":\"C.M.Y. Claassen , S. Tadayon Mousavi , M.W. Baltussen , E.A.J.F. Peters , J.A.M. Kuipers\",\"doi\":\"10.1016/j.ces.2025.122661\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>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.</div></div>\",\"PeriodicalId\":271,\"journal\":{\"name\":\"Chemical Engineering Science\",\"volume\":\"320 \",\"pages\":\"Article 122661\"},\"PeriodicalIF\":4.3000,\"publicationDate\":\"2025-09-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chemical Engineering Science\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0009250925014824\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, CHEMICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chemical Engineering Science","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0009250925014824","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, CHEMICAL","Score":null,"Total":0}
Comparison of multi-component diffusion models in a single reactive particle
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.
期刊介绍:
Chemical engineering enables the transformation of natural resources and energy into useful products for society. It draws on and applies natural sciences, mathematics and economics, and has developed fundamental engineering science that underpins the discipline.
Chemical Engineering Science (CES) has been publishing papers on the fundamentals of chemical engineering since 1951. CES is the platform where the most significant advances in the discipline have ever since been published. Chemical Engineering Science has accompanied and sustained chemical engineering through its development into the vibrant and broad scientific discipline it is today.