{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,16]],"date-time":"2025-09-16T19:32:03Z","timestamp":1758051123825,"version":"3.44.0"},"reference-count":27,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[2003,1,1]],"date-time":"2003-01-01T00:00:00Z","timestamp":1041379200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2003,1,1]],"date-time":"2003-01-01T00:00:00Z","timestamp":1041379200000},"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":[[2003,1]]},"DOI":"10.1016\/s0009-2509(02)00429-3","type":"journal-article","created":{"date-parts":[[2002,12,28]],"date-time":"2002-12-28T07:34:16Z","timestamp":1041060856000},"page":"447-456","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"title":["Modeling intra-particle convection in heterogeneous non-catalytic reacting systems"],"prefix":"10.1016","volume":"58","author":[{"given":"Nat\u00e9rcia C.P.","family":"Fernandes","sequence":"first","affiliation":[]},{"given":"Jos\u00e9 A.A.M.","family":"Castro","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0009-2509(02)00429-3_BIB1","unstructured":"Agarwal, N. (1993). Modeling of continuous pulping. Ph.D. thesis, University of Washington."},{"issue":"2","key":"10.1016\/S0009-2509(02)00429-3_BIB2","doi-asserted-by":"crossref","first-page":"8","DOI":"10.1002\/cjce.5450750104","article-title":"A contribution to the modeling of kraft pulping","volume":"75","author":"Agarwal","year":"1997","journal-title":"The Canadian Journal of Chemical Engineering"},{"issue":"6\u20137","key":"10.1016\/S0009-2509(02)00429-3_BIB3","first-page":"410","article-title":"Modeling the effect of chip size in kraft pulping","volume":"76","author":"Agarwal","year":"1994","journal-title":"Paperi ja Puu"},{"key":"10.1016\/S0009-2509(02)00429-3_BIB4","doi-asserted-by":"crossref","first-page":"2094","DOI":"10.1016\/0009-2509(73)85055-9","article-title":"Communications on the theory of diffusion and reaction-IX. Internal pressure and forced flow for reactions with volume change","volume":"28","author":"Aris","year":"1973","journal-title":"Chemical Engineering Science"},{"key":"10.1016\/S0009-2509(02)00429-3_BIB5","doi-asserted-by":"crossref","first-page":"1495","DOI":"10.1137\/S1064827595289996","article-title":"Consistent initial condition calculation for differential-algebraic systems","volume":"19","author":"Brown","year":"1998","journal-title":"SIAM Journal of Science Computing"},{"key":"10.1016\/S0009-2509(02)00429-3_BIB6","doi-asserted-by":"crossref","first-page":"1467","DOI":"10.1137\/0915088","article-title":"Using Krylov methods in the solution of large-scale differential-algebraic systems","volume":"15","author":"Brown","year":"1994","journal-title":"SIAM Journal of Science Computing"},{"key":"10.1016\/S0009-2509(02)00429-3_BIB7","unstructured":"Costa, I. M. M., Francisco, S. C. P., Sim\u00e3o, J. P. F., Egas, A. P., & Castro, J. A. A. M. (2001). The nature of mass transfer of alkali to wood chips during kraft pulping. In CHEMPOR\u20192001, Aveiro, Portugal, in press."},{"issue":"18","key":"10.1016\/S0009-2509(02)00429-3_BIB8","doi-asserted-by":"crossref","first-page":"3729","DOI":"10.1016\/S0009-2509(00)00063-4","article-title":"Steady-state simulation of a continuous moving bed reactor in the pulp and paper industry","volume":"55","author":"Fernandes","year":"2000","journal-title":"Chemical Engineering Science"},{"key":"10.1016\/S0009-2509(02)00429-3_BIB9","unstructured":"Ferreira, R. M. Q. (1988). Contribui\u00e7\u00e3o para o estudo de reactores catal\u00e7\u00e3ticos de leito fixo: Efeito da convec\u0131\u0301o em catalisadores de poros largos e casos de catalisadores bidispersos. Ph.D. thesis, Universidade do Porto."},{"issue":"10","key":"10.1016\/S0009-2509(02)00429-3_BIB10","doi-asserted-by":"crossref","first-page":"1201","DOI":"10.1016\/0098-1354(95)00230-8","article-title":"Effect of intraparticle convection on the transient behavior of fixed-bed reactors","volume":"20","author":"Ferreira","year":"1996","journal-title":"Computers and Chemical Engineering"},{"year":"1990","series-title":"Chemical reactor analysis and design","author":"Froment","key":"10.1016\/S0009-2509(02)00429-3_BIB11"},{"issue":"4","key":"10.1016\/S0009-2509(02)00429-3_BIB12","first-page":"145","article-title":"The role of diffusion during initial delignification of alkaline pulping","volume":"71","author":"Gustafson","year":"1988","journal-title":"Tappi Journal"},{"issue":"1","key":"10.1016\/S0009-2509(02)00429-3_BIB13","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1021\/i200020a016","article-title":"Theoretical model of the kraft pulping process","volume":"22","author":"Gustafson","year":"1983","journal-title":"Industrial and Engineering Chemistry, Processing Design and Development"},{"issue":"3","key":"10.1016\/S0009-2509(02)00429-3_BIB14","first-page":"J110","article-title":"Modelling incomplete penetration of kraft pulping liquor","volume":"15","author":"Jim\u00e9nez","year":"1989","journal-title":"Journal of Pulp and Paper Science"},{"key":"10.1016\/S0009-2509(02)00429-3_BIB15","unstructured":"Johnsson, L. (1970). Mathematical models of the kraft cooking process. Technical report 11, Department of Control Engineering, Chalmers University of Technology, Gothenburg, Sweden."},{"issue":"4","key":"10.1016\/S0009-2509(02)00429-3_BIB16","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1252\/jcej.7.281","article-title":"Effects of intraparticle flow on catalytic reactions","volume":"7","author":"Komiyama","year":"1974","journal-title":"Journal of Chemical Engineering of Japan"},{"issue":"20","key":"10.1016\/S0009-2509(02)00429-3_BIB17","doi-asserted-by":"crossref","first-page":"4595","DOI":"10.1016\/0009-2509(96)00320-X","article-title":"Modeling of biodegradation\/adsorption combined process in fixed-bed biofilm reactors","volume":"51","author":"Leit\u00e3o","year":"1996","journal-title":"Chemical Engineering Science"},{"key":"10.1016\/S0009-2509(02)00429-3_BIB18","unstructured":"Li, S., & Petzold, L. R. (1999). Design of new DASPK for sensitivity analysis. Technical report TRCS99-28, University of California at Santa Barbara."},{"issue":"2","key":"10.1016\/S0009-2509(02)00429-3_BIB19","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1002\/cjce.5450750105","article-title":"Diffusion of lignin macromolecules within the fibre walls of kraft pulp. Part I","volume":"75","author":"Li","year":"1997","journal-title":"The Canadian Journal of Chemical Engineering"},{"issue":"1","key":"10.1016\/S0009-2509(02)00429-3_BIB20","doi-asserted-by":"crossref","first-page":"148","DOI":"10.1021\/ie00040a013","article-title":"Flow field and non-isothermal effects on diffusion, convection and reaction in permeable catalysts","volume":"34","author":"Lopes","year":"1995","journal-title":"Industrial and Engineering Chemistry Research"},{"issue":"311","key":"10.1016\/S0009-2509(02)00429-3_BIB21","first-page":"1","article-title":"Kinetics of kraft pulping of Eucalyptus globulus","volume":"92","author":"Mirams","year":"1996","journal-title":"AIChE Symposium Series"},{"key":"10.1016\/S0009-2509(02)00429-3_BIB22","first-page":"113","article-title":"Diffusion, convection and reaction in catalyst particles","volume":"61","author":"Nan","year":"1996","journal-title":"The Chemical Engineering Journal"},{"key":"10.1016\/S0009-2509(02)00429-3_BIB23","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/0009-2509(77)80079-1","article-title":"Simultaneous intraparticle forced convection, diffusion and reaction in a porous catalyst","volume":"32","author":"Nir","year":"1977","journal-title":"Chemical Engineering Science"},{"issue":"4","key":"10.1016\/S0009-2509(02)00429-3_BIB24","doi-asserted-by":"crossref","first-page":"932","DOI":"10.1002\/aic.690420406","article-title":"Permeability of gigaporous particles","volume":"42","author":"Pfeiffer","year":"1996","journal-title":"A.I.Ch.E. Journal"},{"key":"10.1016\/S0009-2509(02)00429-3_BIB25","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1016\/0009-2509(76)87012-1","article-title":"Convective currents induced by chemical reactions in partially-filled porous media","volume":"31","author":"Pismen","year":"1976","journal-title":"Chemical Engineering Science"},{"key":"10.1016\/S0009-2509(02)00429-3_BIB26","first-page":"285","article-title":"Determination of effective diffusivities and convective coefficients of pure gases in single pellets","volume":"57","author":"Sun","year":"1995","journal-title":"The Chemical Engineering Journal"},{"issue":"18","key":"10.1016\/S0009-2509(02)00429-3_BIB27","first-page":"R180","article-title":"Predicting rejects from kraft cooking of overthick chips","volume":"85","author":"Tyler","year":"1982","journal-title":"Svensk Papperstidning"}],"container-title":["Chemical Engineering Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0009250902004293?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0009250902004293?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,9,14]],"date-time":"2025-09-14T00:43:39Z","timestamp":1757810619000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0009250902004293"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,1]]},"references-count":27,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2003,1]]}},"alternative-id":["S0009250902004293"],"URL":"https:\/\/doi.org\/10.1016\/s0009-2509(02)00429-3","relation":{},"ISSN":["0009-2509"],"issn-type":[{"type":"print","value":"0009-2509"}],"subject":[],"published":{"date-parts":[[2003,1]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Modeling intra-particle convection in heterogeneous non-catalytic reacting systems","name":"articletitle","label":"Article Title"},{"value":"Chemical Engineering Science","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/S0009-2509(02)00429-3","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"converted-article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2002 Elsevier Science Ltd. All rights reserved.","name":"copyright","label":"Copyright"}]}}