{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T07:05:19Z","timestamp":1776755119335,"version":"3.51.2"},"reference-count":22,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2004,6,17]],"date-time":"2004-06-17T00:00:00Z","timestamp":1087430400000},"content-version":"vor","delay-in-days":9179,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["AIChE Journal"],"published-print":{"date-parts":[[1979,5]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Sorption processes in a perfectly mixed reactor are analyzed by using two models: The equilibrium model and a kinetic model which considers the effect of the external mass transfer resistance. In both cases, a general non\u2010linear equilibrium isotherm is considered.<\/jats:p><jats:p>The influence of the different model parameters on the response of the perfectly mixed sorber and their effect on a design parameter (the breakthrough time) are discussed.<\/jats:p><jats:p>A criterium is derived in order to predict when the equilibrium model is valid.<\/jats:p>","DOI":"10.1002\/aic.690250305","type":"journal-article","created":{"date-parts":[[2004,6,23]],"date-time":"2004-06-23T08:26:56Z","timestamp":1087979216000},"page":"416-423","source":"Crossref","is-referenced-by-count":17,"title":["Staged approach of percolation processes"],"prefix":"10.1002","volume":"25","author":[{"given":"Al\u00edrio E.","family":"Rodrigues","sequence":"first","affiliation":[]},{"given":"Eduardo C.","family":"Beira","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2004,6,17]]},"reference":[{"key":"e_1_2_1_2_1","volume-title":"Mathematical Methods in Chemical Engineering\u2014First Order PDE with Applications","author":"Aris R.","year":"1973"},{"key":"e_1_2_1_3_1","unstructured":"Belter P. A. F. Cunningham andJ. W.Chen \u201cPerformance of Real Stirred Tank Ion Exchangers Contactors \u201d paper presented at the AIChE Annual Meeting Boston Mass. (1964)."},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1002\/bit.260150309"},{"key":"e_1_2_1_5_1","unstructured":"Chen J. W. J. Burge F.Cunningham andI.Northann \u201cScale Up of a Column Adsorption Process by Computer Simulation \u201d paper presented at 150 Natl. Meeting Am. Chem. Soc. Atlantic City N.J. (1965)."},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1021\/i260043a017"},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1021\/ja01244a011"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1002\/cjce.5450530521"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1145\/362566.362571"},{"key":"e_1_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1145\/362566.362573"},{"key":"e_1_2_1_11_1","volume-title":"Multicomponent Chromatography. Theory of Interference","author":"Helfferich F.","year":"1970"},{"key":"e_1_2_1_12_1","volume-title":"Numerical Solution of Ordinary Differential Equations","author":"Lapidus L.","year":"1971"},{"key":"e_1_2_1_13_1","volume-title":"Cours de g\u00e9nie chimique","author":"Le Goff P.","year":"1972"},{"key":"e_1_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1021\/i160005a006"},{"key":"e_1_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1042\/bj0351358"},{"key":"e_1_2_1_16_1","doi-asserted-by":"publisher","DOI":"10.1002\/aic.690220327"},{"key":"e_1_2_1_17_1","unstructured":"Michelsen M. L. Semiimplicit Runge\u2010Kutta Methods for Stiff Systems Institute for Kemiteknik Denmark (1976b)."},{"key":"e_1_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1021\/ie50618a026"},{"key":"e_1_2_1_19_1","unstructured":"Rhee H. K. \u201cStudies on the Theory of Chromatography \u201d Ph.D. dissertation Univ. Minn. (1968)."},{"key":"e_1_2_1_20_1","unstructured":"Rodrigues A. E. \u201cApplication des m\u00e9thodes du g\u00e9nie chimique \u00e0 l'\u00e9tude d'echange d'ions \u201d Doct\u2010Ing. dissertation Univ. Nancy (1973)."},{"issue":"6","key":"e_1_2_1_21_1","doi-asserted-by":"crossref","first-page":"785","DOI":"10.1051\/jcp\/1975720785","article-title":"Influence d'une isotherme nonlin\u00e9aire sur l'adsorption\u2010desorption en r\u00e9acteurs parfaitement agit\u00e9s ouverts isol\u00e9 ou en s\u00e9rie","volume":"72","author":"Rodrigues A. E.","year":"1975","journal-title":"J. Chim. Phys."},{"key":"e_1_2_1_22_1","first-page":"575","article-title":"Continuous Ion Exchange in Fluidized Beds","volume":"53","author":"Slater I. I.","year":"1975","journal-title":"Can. J. Chem. Eng."},{"key":"e_1_2_1_23_1","unstructured":"Tondeur D. \u201cTh\u00e9orie des colonnes d'echange d'ions \u201d Docteur\u2010\u00e8s\u2010Sciences dissertation Univ. Nancy (1969)."}],"container-title":["AIChE Journal"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Faic.690250305","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/aiche.onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/aic.690250305","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T17:15:34Z","timestamp":1759857334000},"score":1,"resource":{"primary":{"URL":"https:\/\/aiche.onlinelibrary.wiley.com\/doi\/10.1002\/aic.690250305"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1979,5]]},"references-count":22,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1979,5]]}},"alternative-id":["10.1002\/aic.690250305"],"URL":"https:\/\/doi.org\/10.1002\/aic.690250305","archive":["Portico"],"relation":{},"ISSN":["0001-1541","1547-5905"],"issn-type":[{"value":"0001-1541","type":"print"},{"value":"1547-5905","type":"electronic"}],"subject":[],"published":{"date-parts":[[1979,5]]}}}