{"title":"利用Maxwell - Stefan模型的极限情况对聚合物矩的扩散输运建模","authors":"Stefan Welzel, Winfried Säckel, Ulrich Nieken","doi":"10.1002/mren.202200045","DOIUrl":null,"url":null,"abstract":"<p>A polymer distribution is usually represented by its moments. Thus, to calculate transport in a polymer system, a formulation for the transport of moments of the polymer is needed. This is only possible if the moments close or if there is a suitable closing condition. To archive this, two simplifications of the Stefan–Maxwell diffusion are derived, which convert the transport equation of polymeric species to a closed set of transport equations for the polymer moments. The first approach corresponds to an infinitely diluted polymer system, whereas the second one describes a highly concentrated polymer system. Both formulations are compared with the full Stefan-Maxwell model of a ternary mixture of a solvent and two polymer species of different chain length.</p>","PeriodicalId":18052,"journal":{"name":"Macromolecular Reaction Engineering","volume":"17 1","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2022-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mren.202200045","citationCount":"1","resultStr":"{\"title\":\"Modeling of Diffusive Transport of Polymers Moments Using Limiting Cases of the Maxwell–Stefan Model\",\"authors\":\"Stefan Welzel, Winfried Säckel, Ulrich Nieken\",\"doi\":\"10.1002/mren.202200045\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A polymer distribution is usually represented by its moments. Thus, to calculate transport in a polymer system, a formulation for the transport of moments of the polymer is needed. This is only possible if the moments close or if there is a suitable closing condition. To archive this, two simplifications of the Stefan–Maxwell diffusion are derived, which convert the transport equation of polymeric species to a closed set of transport equations for the polymer moments. The first approach corresponds to an infinitely diluted polymer system, whereas the second one describes a highly concentrated polymer system. Both formulations are compared with the full Stefan-Maxwell model of a ternary mixture of a solvent and two polymer species of different chain length.</p>\",\"PeriodicalId\":18052,\"journal\":{\"name\":\"Macromolecular Reaction Engineering\",\"volume\":\"17 1\",\"pages\":\"\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2022-11-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mren.202200045\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Macromolecular Reaction Engineering\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/mren.202200045\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ENGINEERING, CHEMICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Macromolecular Reaction Engineering","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/mren.202200045","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, CHEMICAL","Score":null,"Total":0}
Modeling of Diffusive Transport of Polymers Moments Using Limiting Cases of the Maxwell–Stefan Model
A polymer distribution is usually represented by its moments. Thus, to calculate transport in a polymer system, a formulation for the transport of moments of the polymer is needed. This is only possible if the moments close or if there is a suitable closing condition. To archive this, two simplifications of the Stefan–Maxwell diffusion are derived, which convert the transport equation of polymeric species to a closed set of transport equations for the polymer moments. The first approach corresponds to an infinitely diluted polymer system, whereas the second one describes a highly concentrated polymer system. Both formulations are compared with the full Stefan-Maxwell model of a ternary mixture of a solvent and two polymer species of different chain length.
期刊介绍：
Macromolecular Reaction Engineering is the established high-quality journal dedicated exclusively to academic and industrial research in the field of polymer reaction engineering.
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