{"title":"应用FastIAS算法求解Redlich-Peterson等温线","authors":"Stefano Brandani, Daniel Friedrich, Enzo Mangano","doi":"10.1007/s10450-025-00630-7","DOIUrl":null,"url":null,"abstract":"<div><p>The Redlich-Peterson isotherm is widely used in liquid phase adsorption studies but the combination with the Ideal Adsorbed Solution Theory is hampered by the fact that an analytical expression for the reduced grand potential does not exist in the range of low pressures or concentrations. In this contribution we demonstrate an efficient approach to approximate the reduced grand potential using a Padé approximant allowing to perform the calculations with the Fast-IAS algorithm leading to execution times that are slightly slower but comparable to a dual site Langmuir/Fast-IAS combination. While the non-autonomous initial value approach remains a simpler method for this isotherm, the proposed method is recommended when execution times have to be minimized.</p></div>","PeriodicalId":458,"journal":{"name":"Adsorption","volume":"31 5","pages":""},"PeriodicalIF":3.0000,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10450-025-00630-7.pdf","citationCount":"0","resultStr":"{\"title\":\"Applying the FastIAS algorithm to the Redlich-Peterson isotherm\",\"authors\":\"Stefano Brandani, Daniel Friedrich, Enzo Mangano\",\"doi\":\"10.1007/s10450-025-00630-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The Redlich-Peterson isotherm is widely used in liquid phase adsorption studies but the combination with the Ideal Adsorbed Solution Theory is hampered by the fact that an analytical expression for the reduced grand potential does not exist in the range of low pressures or concentrations. In this contribution we demonstrate an efficient approach to approximate the reduced grand potential using a Padé approximant allowing to perform the calculations with the Fast-IAS algorithm leading to execution times that are slightly slower but comparable to a dual site Langmuir/Fast-IAS combination. While the non-autonomous initial value approach remains a simpler method for this isotherm, the proposed method is recommended when execution times have to be minimized.</p></div>\",\"PeriodicalId\":458,\"journal\":{\"name\":\"Adsorption\",\"volume\":\"31 5\",\"pages\":\"\"},\"PeriodicalIF\":3.0000,\"publicationDate\":\"2025-05-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s10450-025-00630-7.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Adsorption\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10450-025-00630-7\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"CHEMISTRY, PHYSICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Adsorption","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10450-025-00630-7","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
Applying the FastIAS algorithm to the Redlich-Peterson isotherm
The Redlich-Peterson isotherm is widely used in liquid phase adsorption studies but the combination with the Ideal Adsorbed Solution Theory is hampered by the fact that an analytical expression for the reduced grand potential does not exist in the range of low pressures or concentrations. In this contribution we demonstrate an efficient approach to approximate the reduced grand potential using a Padé approximant allowing to perform the calculations with the Fast-IAS algorithm leading to execution times that are slightly slower but comparable to a dual site Langmuir/Fast-IAS combination. While the non-autonomous initial value approach remains a simpler method for this isotherm, the proposed method is recommended when execution times have to be minimized.
期刊介绍:
The journal Adsorption provides authoritative information on adsorption and allied fields to scientists, engineers, and technologists throughout the world. The information takes the form of peer-reviewed articles, R&D notes, topical review papers, tutorial papers, book reviews, meeting announcements, and news.
Coverage includes fundamental and practical aspects of adsorption: mathematics, thermodynamics, chemistry, and physics, as well as processes, applications, models engineering, and equipment design.
Among the topics are Adsorbents: new materials, new synthesis techniques, characterization of structure and properties, and applications; Equilibria: novel theories or semi-empirical models, experimental data, and new measurement methods; Kinetics: new models, experimental data, and measurement methods. Processes: chemical, biochemical, environmental, and other applications, purification or bulk separation, fixed bed or moving bed systems, simulations, experiments, and design procedures.