{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,16]],"date-time":"2025-09-16T19:26:07Z","timestamp":1758050767106,"version":"3.44.0"},"reference-count":19,"publisher":"Elsevier BV","issue":"9","license":[{"start":{"date-parts":[[1997,5,1]],"date-time":"1997-05-01T00:00:00Z","timestamp":862444800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[1997,5,1]],"date-time":"1997-05-01T00:00:00Z","timestamp":862444800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Chemical Engineering Science"],"published-print":{"date-parts":[[1997,5]]},"DOI":"10.1016\/s0009-2509(96)00498-8","type":"journal-article","created":{"date-parts":[[2003,4,23]],"date-time":"2003-04-23T15:56:24Z","timestamp":1051113384000},"page":"1493-1499","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":12,"title":["Modified linear driving force approximations for cyclic adsorption-desorption processes"],"prefix":"10.1016","volume":"52","author":[{"given":"Peizhu","family":"Sheng","sequence":"first","affiliation":[]},{"given":"Carlos A.V.","family":"Costa","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0009-2509(96)00498-8_BIB1","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1016\/0009-2509(92)80041-A","article-title":"The linear driving force model for fast-cycle adsorption and desorption in a spherical particle","volume":"47","author":"Alpay","year":"1992","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/S0009-2509(96)00498-8_BIB2","doi-asserted-by":"crossref","first-page":"2683","DOI":"10.1016\/0009-2509(89)85211-X","article-title":"Extended linear driving-force approximation for intraparticle diffusion rate including short times","volume":"44","author":"Buzanowski","year":"1989","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/S0009-2509(96)00498-8_BIB3","doi-asserted-by":"crossref","first-page":"2589","DOI":"10.1016\/0009-2509(91)80052-Z","article-title":"Approximations for intraparticle diffusion rates in cyclic adsorption and desorption","volume":"46","author":"Buzanowski","year":"1991","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/S0009-2509(96)00498-8_BIB4","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1080\/00986449108910887","article-title":"A non-driving-force approximation for intraparticle diffusion in cyclic adsorption and desorption with short cycles","volume":"104","author":"Buzanowski","year":"1991","journal-title":"Chem. Engng Comm."},{"key":"10.1016\/S0009-2509(96)00498-8_BIB5","doi-asserted-by":"crossref","first-page":"622","DOI":"10.1016\/0009-2509(93)80316-I","article-title":"The linear driving force approximation for cyclic mass transfer in spherical particles","volume":"48","author":"Carta","year":"1993","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/S0009-2509(96)00498-8_BIB6","doi-asserted-by":"crossref","first-page":"1613","DOI":"10.1016\/0009-2509(93)80121-6","article-title":"Exact solution and linear driving force approximation for cyclic mass transfer in a bidisperse sorbent","volume":"48","author":"Carta","year":"1993","journal-title":"Chem Engng Sci."},{"year":"1979","series-title":"Forsim VI","author":"Carver","key":"10.1016\/S0009-2509(96)00498-8_BIB7"},{"key":"10.1016\/S0009-2509(96)00498-8_BIB8","doi-asserted-by":"crossref","first-page":"200","DOI":"10.1002\/aic.690210137","article-title":"Linear driving force approximations for diffusion controlled adsorption in molecular sieve columns","volume":"21","author":"Garg","year":"1975","journal-title":"A.I.Ch.E. J."},{"key":"10.1016\/S0009-2509(96)00498-8_BIB9","doi-asserted-by":"crossref","first-page":"1540","DOI":"10.1039\/TF9555101540","article-title":"Theory of chromatography, Part 10. Formula for diffusion into spheres and their application to chromatography","volume":"51","author":"Glueckauf","year":"1995","journal-title":"Trans. Faraday Soc."},{"key":"10.1016\/S0009-2509(96)00498-8_BIB10","article-title":"Theory of chromatography, Part 4. The influence of incomplete equilibrium on the front boundary of chromatogram and on the effectiveness of separation","volume":"1315\u20131321","author":"Glueckauf","year":"1947","journal-title":"J. Chem. Soc."},{"key":"10.1016\/S0009-2509(96)00498-8_BIB11","doi-asserted-by":"crossref","first-page":"1124","DOI":"10.1002\/aic.690130617","article-title":"An improved version of the rate equation for molecular diffusion in a dispersed phase","volume":"13","author":"Jury","year":"1967","journal-title":"A.I.Ch.E. J."},{"key":"10.1016\/S0009-2509(96)00498-8_BIB12","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1002\/aic.690350225","article-title":"Linear driving force formulas for diffusion and reaction in porous catalysts","volume":"35","author":"Kim","year":"1989","journal-title":"A.I.Ch.E. J."},{"key":"10.1016\/S0009-2509(96)00498-8_BIB13","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1002\/aic.690250229","article-title":"Kinetics of fixed-bed adsorption: a new solution","volume":"25","author":"Liaw","year":"1979","journal-title":"A.I.Ch.E. J."},{"key":"10.1016\/S0009-2509(96)00498-8_BIB14","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1016\/0950-4214(94)80002-2","article-title":"Linear driving force approximation for diffusion in spherical adsorbents with binary non-linear adsorption","volume":"8","author":"Mendes","year":"1994","journal-title":"Gas Separ. Purif."},{"key":"10.1016\/S0009-2509(96)00498-8_BIB15","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1252\/jcej.16.114","article-title":"Mass transfer coefficient in cyclic adsorption and desorption","volume":"16","author":"Nakao","year":"1983","journal-title":"J. Chem. Engng Japan"},{"year":"1984","author":"Ruthven","key":"10.1016\/S0009-2509(96)00498-8_BIB16"},{"key":"10.1016\/S0009-2509(96)00498-8_BIB17","series-title":"Proceedings of 5th International Conference on Fundamentals of Adsorption","article-title":"Using semi-empirical algorithms in the development of linear driving force approximations for complex intraparticle diffusion\/convection models","author":"Sheng","year":"1995"},{"key":"10.1016\/S0009-2509(96)00498-8_BIB18","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1016\/0009-2509(92)80033-9","article-title":"Approximation of intraparticle mass transfer in adsorption processes\u2014I. Linear systems","volume":"47","author":"Yao","year":"1992","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/S0009-2509(96)00498-8_BIB19","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1016\/0009-2509(92)80034-A","article-title":"Approximation of intraparticle mass transfer in adsorption processes \u2014 II. Non-linear systems","volume":"47","author":"Yao","year":"1992","journal-title":"Chem. Engng Sci."}],"container-title":["Chemical Engineering Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0009250996004988?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0009250996004988?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,9,14]],"date-time":"2025-09-14T00:20:41Z","timestamp":1757809241000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0009250996004988"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,5]]},"references-count":19,"journal-issue":{"issue":"9","published-print":{"date-parts":[[1997,5]]}},"alternative-id":["S0009250996004988"],"URL":"https:\/\/doi.org\/10.1016\/s0009-2509(96)00498-8","relation":{},"ISSN":["0009-2509"],"issn-type":[{"type":"print","value":"0009-2509"}],"subject":[],"published":{"date-parts":[[1997,5]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Modified linear driving force approximations for cyclic adsorption-desorption processes","name":"articletitle","label":"Article Title"},{"value":"Chemical Engineering Science","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/S0009-2509(96)00498-8","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"converted-article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 1997 Published by Elsevier Ltd.","name":"copyright","label":"Copyright"}]}}