{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,19]],"date-time":"2025-10-19T15:09:01Z","timestamp":1760886541675},"reference-count":60,"publisher":"Elsevier BV","issue":"8","license":[{"start":{"date-parts":[[1992,8,1]],"date-time":"1992-08-01T00:00:00Z","timestamp":712627200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computers &amp; Chemical Engineering"],"published-print":{"date-parts":[[1992,8]]},"DOI":"10.1016\/0098-1354(92)80058-h","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T06:49:42Z","timestamp":1027579782000},"page":"721-751","source":"Crossref","is-referenced-by-count":9,"title":["Dynamic behavior of fixed-bed reactors with \u201clarge-pore\u201d catalysts: A bidimensional heterogeneous diffusion\/convection model"],"prefix":"10.1016","volume":"16","author":[{"given":"R.M.Quinta","family":"Ferreira","sequence":"first","affiliation":[]},{"given":"A.C.","family":"Costa","sequence":"additional","affiliation":[]},{"given":"A.E.","family":"Rodrigues","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0098-1354(92)80058-H_BIB1","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1016\/0009-2509(75)80031-5","article-title":"Orthogonal collocation on finite elements","volume":"30","author":"Carey","year":"1975","journal-title":"Chem. Engng Sci"},{"key":"10.1016\/0098-1354(92)80058-H_BIB2","unstructured":"Carta G., Personal communication, Univ. of Virginia, 1988."},{"key":"10.1016\/0098-1354(92)80058-H_BIB3","article-title":"Aspects of modelling chemical processes for adaptative control","author":"Castro","year":"1983"},{"key":"10.1016\/0098-1354(92)80058-H_BIB4","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/0300-9467(89)80076-0","article-title":"Influence de la r\u00e9action chimique et de la convection interne sur la d\u00e9termination de la diffusivit\u00e9 apparente d'un catalyseur","volume":"41","author":"Cheng","year":"1989","journal-title":"Chem. Engng J."},{"key":"10.1016\/0098-1354(92)80058-H_BIB5","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1016\/0009-2509(82)80148-6","article-title":"Simultaneous intraparticle forced convection, diffusion and reaction in porous catalyst\u2014III","volume":"37","author":"Cogan","year":"1982","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/0098-1354(92)80058-H_BIB6","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/S0166-9834(00)81491-8","article-title":"Intra-particle convection: its measurement and effect on catalyst activity and selectivity","volume":"15","author":"Cresswell","year":"1985","journal-title":"Appl Catalysis"},{"issue":"3","key":"10.1016\/0098-1354(92)80058-H_BIB7","doi-asserted-by":"crossref","first-page":"514","DOI":"10.1002\/aic.690120322","article-title":"Computational studies of transients in packed tubular chemical reactors","volume":"12","author":"Crider","year":"1966","journal-title":"AIChE Jl"},{"issue":"1","key":"10.1016\/0098-1354(92)80058-H_BIB8","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1002\/aic.690140116","article-title":"An analytical solution for the dynamics of a packed adiabatic chemical reactor","volume":"14","author":"Crider","year":"1968","journal-title":"AIChE Jl"},{"key":"10.1016\/0098-1354(92)80058-H_BIB9","first-page":"103","article-title":"Heat transfer at the wall of a packed bed: a j-factor analogy established","author":"College","year":"1984","journal-title":"Inst. Chem. Engrs"},{"key":"10.1016\/0098-1354(92)80058-H_BIB10","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1137\/0714026","article-title":"Package for computing with B-splines","volume":"14","author":"De","year":"1977","journal-title":"SIAM Jl numer. Analysis"},{"key":"10.1016\/0098-1354(92)80058-H_BIB11","author":"De","year":"1978"},{"key":"10.1016\/0098-1354(92)80058-H_BIB12","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1016\/0009-2509(71)86006-2","article-title":"A two dimensional heterogeneous model for fixed-bed catalytic reactors","volume":"26","author":"De","year":"1971","journal-title":"Chem. Engng Sci."},{"issue":"5","key":"10.1016\/0098-1354(92)80058-H_BIB13","doi-asserted-by":"crossref","first-page":"826","DOI":"10.1002\/aic.690310519","article-title":"Thermal resistance models of packed-bed effective heat transfer parameters","volume":"31","author":"Dixon","year":"1985","journal-title":"AIChE Jl"},{"issue":"4","key":"10.1016\/0098-1354(92)80058-H_BIB14","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1002\/aic.690250413","article-title":"Theoretical prediction of effective heat transfer parameters in packed beds","volume":"25","author":"Dixon","year":"1979","journal-title":"AIChE Jl"},{"issue":"8","key":"10.1016\/0098-1354(92)80058-H_BIB15","doi-asserted-by":"crossref","first-page":"1370","DOI":"10.1002\/aic.690350816","article-title":"Dynamic analysis of viscous flow and diffusion in porous solids","volume":"35","author":"Dogu","year":"1989","journal-title":"AIChE Jl"},{"issue":"3","key":"10.1016\/0098-1354(92)80058-H_BIB16","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1002\/aic.690200315","article-title":"Transient modeling of a catalytic converter to reduce nitric oxide in automobile exhaust","volume":"20","author":"Ferguson","year":"1974","journal-title":"AIChE Jl"},{"key":"10.1016\/0098-1354(92)80058-H_BIB17","author":"Finlayson","year":"1980"},{"issue":"2","key":"10.1016\/0098-1354(92)80058-H_BIB18","first-page":"1967","article-title":"Fixed bed catalytic reactors","volume":"59","author":"Froment","year":"1827","journal-title":"Ind. Engng Chem."},{"key":"10.1016\/0098-1354(92)80058-H_BIB19","author":"Froment","year":"1979"},{"key":"10.1016\/0098-1354(92)80058-H_BIB20","first-page":"351","article-title":"Theory of axial and radial dispersion in packed beds","volume":"47","author":"Gunn","year":"1969","journal-title":"Trans. Instn chem. Engrs"},{"key":"10.1016\/0098-1354(92)80058-H_BIB21","first-page":"253","article-title":"Momentum and heat transfer mechanisms in regular shaped packings","volume":"46","author":"Handley","year":"1968","journal-title":"Trans. Instn chem. Engrs"},{"key":"10.1016\/0098-1354(92)80058-H_BIB22","doi-asserted-by":"crossref","first-page":"579","DOI":"10.1016\/0009-2509(76)80021-8","article-title":"Dynamic modelling of a gas phase catalytic fixed bed reactor\u2014I","volume":"31","author":"Hansen","year":"1976","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/0098-1354(92)80058-H_BIB23","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1016\/0009-2509(76)80022-X","article-title":"Dynamic modelling of a gas phase catalytic fixed bed reactor\u2014II","volume":"31","author":"Hansen","year":"1976","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/0098-1354(92)80058-H_BIB24","author":"Hindmarsh","year":"1976"},{"key":"10.1016\/0098-1354(92)80058-H_BIB25","doi-asserted-by":"crossref","first-page":"1587","DOI":"10.1016\/0009-2509(81)80002-4","article-title":"Current problems of multiplicity stability and sensitivity of states in chemically reacting systems","volume":"36","author":"Hlavacek","year":"1981","journal-title":"Chem. Engng Sci."},{"issue":"6","key":"10.1016\/0098-1354(92)80058-H_BIB26","doi-asserted-by":"crossref","first-page":"1434","DOI":"10.1002\/aic.690170627","article-title":"Experimental evaluation of dynamic models for a fixed-bed catalytic reactor","volume":"17","author":"Hoiberg","year":"1971","journal-title":"AIChE Jl"},{"key":"10.1016\/0098-1354(92)80058-H_BIB27","doi-asserted-by":"crossref","first-page":"549","DOI":"10.1016\/0009-2509(76)80018-8","article-title":"Mathematical modelling of heterogeneous-homogeneous reactions","volume":"31","author":"Holton","year":"1976","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/0098-1354(92)80058-H_BIB28","article-title":"Preparative HPLC","author":"Horvarth","year":"1990","journal-title":"NATO ASI on Chromatographic and Membrane Processes in Biotechnology"},{"issue":"5","key":"10.1016\/0098-1354(92)80058-H_BIB29","doi-asserted-by":"crossref","first-page":"732","DOI":"10.1002\/aic.690230516","article-title":"Multivariable computer control of a butane hydrogenolysis reactor I\u2014State space reactor modelling","volume":"23","author":"Jutan","year":"1977","journal-title":"AIChE Jl"},{"issue":"1","key":"10.1016\/0098-1354(92)80058-H_BIB30","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1002\/aic.690060115","article-title":"Heat transfer characteristics of porous rocks","volume":"6","author":"Kunii","year":"1960","journal-title":"AlChE Jl"},{"key":"10.1016\/0098-1354(92)80058-H_BIB31","author":"Lapidus","year":"1982"},{"issue":"4","key":"10.1016\/0098-1354(92)80058-H_BIB32","doi-asserted-by":"crossref","first-page":"490","DOI":"10.1021\/i260064a010","article-title":"Model studies for a vinyl chloride tubular reactor I","volume":"16","author":"Lee","year":"1977","journal-title":"Ind. Engng Chem. Process Des. Dev."},{"issue":"4","key":"10.1016\/0098-1354(92)80058-H_BIB33","doi-asserted-by":"crossref","first-page":"495","DOI":"10.1021\/i260064a011","article-title":"Model studies for a vinyl chloride tubular reactor II","volume":"16","author":"Lee","year":"1977","journal-title":"Ind. Engng Chem. Process Des. Dev."},{"key":"10.1016\/0098-1354(92)80058-H_BIB34","article-title":"Steady-state and dynamic behaviour of an industrial fixed-bed catalytic reactor","author":"Lopez-Isunza","year":"1983"},{"key":"10.1016\/0098-1354(92)80058-H_BIB35","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1016\/0009-2509(75)80031-5","article-title":"PDECOL: general collocation on finite elements","volume":"30","author":"Madsen","year":"1975","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/0098-1354(92)80058-H_BIB36","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1016\/0098-1354(85)80028-4","article-title":"Modeling of fixed bed catalytic reactors","volume":"9","author":"Martinez","year":"1985","journal-title":"Computers chem. Engng"},{"key":"10.1016\/0098-1354(92)80058-H_BIB37","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1080\/00986448908940513","article-title":"Development of overall heat transfer coefficients from the heterogeneous two dimensional (2-D) model for catalytic fixed bed reactors. A comparison between 1-D and 2-D models","volume":"80","author":"Mascazzini","year":"1989","journal-title":"Chem. Engng Commun."},{"issue":"2","key":"10.1016\/0098-1354(92)80058-H_BIB38","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1016\/0017-9310(85)90071-7","article-title":"Solid conduction in low dt\/dp beds of spheres pellets and rings","volume":"28","author":"Melanson","year":"1985","journal-title":"Heat Mass Transfer"},{"key":"10.1016\/0098-1354(92)80058-H_BIB39","doi-asserted-by":"crossref","first-page":"326","DOI":"10.1002\/cjce.5450550315","article-title":"Reduced dynamic model of a fixed-bed reactor","volume":"55","author":"Mc","year":"1977","journal-title":"Can. J. chem. Engng"},{"key":"10.1016\/0098-1354(92)80058-H_BIB40","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 I","volume":"32","author":"Nir","year":"1977","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/0098-1354(92)80058-H_BIB41","doi-asserted-by":"crossref","first-page":"925","DOI":"10.1016\/0009-2509(77)80079-1","article-title":"Simultaneous intraparticle forced convection, diffusion and reaction in a porous catalyst\u2014II","volume":"32","author":"Nir","year":"1977","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/0098-1354(92)80058-H_BIB42","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1080\/00986448708911959","article-title":"Thermal parameter sensitivity in the simulation of the non-isothermal, non-adiabatic fixed-bed catalytic reactor\u2014the two-dimensional heterogeneous model","volume":"58","author":"Odendaal","year":"1987","journal-title":"Chem. Engng. Commun."},{"key":"10.1016\/0098-1354(92)80058-H_BIB43","doi-asserted-by":"crossref","first-page":"1733","DOI":"10.1016\/0009-2509(72)80087-3","article-title":"Mass transfer from the wall in small diameter packed beds","volume":"27","author":"Olbricht","year":"1972","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/0098-1354(92)80058-H_BIB44","doi-asserted-by":"crossref","first-page":"1017","DOI":"10.1016\/0009-2509(84)87010-4","article-title":"Comparison of two-dimensional models for a fixed-bed catalytic reactor","volume":"39","author":"Pereira","year":"1984","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/0098-1354(92)80058-H_BIB45","doi-asserted-by":"crossref","first-page":"1025","DOI":"10.1016\/0009-2509(84)87011-6","article-title":"A heterogeneous one-dimensional model for non-adiabatic fixed-bed catalytic reactors","volume":"39","author":"Pereira","year":"1984","journal-title":"Chem. Engng. Sci."},{"key":"10.1016\/0098-1354(92)80058-H_BIB46","article-title":"Contribui\u00e7\u00e3o para o estudo de reactores catal\u00edticos de leito fixo: efeito da convec\u00e7\u00e3o em catalisadores de poros largos e casos de catalisadores bidispersos","author":"Quinta","year":"1988"},{"key":"10.1016\/0098-1354(92)80058-H_BIB47","author":"Quinta","year":"1991","journal-title":"Effect of intraparticle convection on the transient behavior of fixed-bed reactors: unidimensional models"},{"key":"10.1016\/0098-1354(92)80058-H_BIB48","doi-asserted-by":"crossref","first-page":"1949","DOI":"10.1016\/0009-2509(89)85134-6","article-title":"Can pseudo-homogeneous reactor models be valid?","volume":"44","author":"Ramkrishna","year":"1989","journal-title":"Chem. Engng Sci"},{"issue":"4","key":"10.1016\/0098-1354(92)80058-H_BIB49","doi-asserted-by":"crossref","first-page":"541","DOI":"10.1002\/aic.690280404","article-title":"Intraparticle-forced convection effect in catalyst diffusivity measurements and reactor design","volume":"28","author":"Rodrigues","year":"1982","journal-title":"AIChE Jl"},{"key":"10.1016\/0098-1354(92)80058-H_BIB50","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1080\/00986448408940509","article-title":"Intraparticle convection, diffusion and zero order reaction in porous catalysts","volume":"27","author":"Rodrigues","year":"1984","journal-title":"Chem. Engng Commun."},{"key":"10.1016\/0098-1354(92)80058-H_BIB51","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1080\/00986449108911547","article-title":"Intraparticle convection revisited","volume":"107","author":"Rodrigues","year":"1991","journal-title":"Chem. Engng Commun."},{"key":"10.1016\/0098-1354(92)80058-H_BIB52","doi-asserted-by":"crossref","first-page":"2765","DOI":"10.1016\/0009-2509(91)85145-N","article-title":"Residence time distribution of inert and linearly adsorbed species in a fixed bed containing \u201clarge-pore\u201d supports: applications in separation engineering","volume":"46","author":"Rodrigues","year":"1991","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/0098-1354(92)80058-H_BIB53","first-page":"80","article-title":"Convection, diffusion and reaction in a large-pore catalyst particle","volume":"84","author":"Rodrigues","year":"1988","journal-title":"AlChE Symp. Ser."},{"key":"10.1016\/0098-1354(92)80058-H_BIB54","doi-asserted-by":"crossref","first-page":"2653","DOI":"10.1016\/0009-2509(90)80155-8","article-title":"Effect of intraparticle convection on the steady-state behavior of fixed-bed catalytic reactors","volume":"45","author":"Rodrigues","year":"1990","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/0098-1354(92)80058-H_BIB55","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1016\/0009-2509(79)85107-6","article-title":"The behaviour of an adiabatic fixed bed reactor for the oxidation of carbon monoxide II","volume":"34","author":"Sharma","year":"1979","journal-title":"Chem. Engng Sci."},{"issue":"4","key":"10.1016\/0098-1354(92)80058-H_BIB56","doi-asserted-by":"crossref","first-page":"658","DOI":"10.1002\/aic.690160425","article-title":"Experimental and computational studies of the dynamics of a fixed bed chemical reactor","volume":"16","author":"Sinai","year":"1970","journal-title":"AIChE Jl"},{"key":"10.1016\/0098-1354(92)80058-H_BIB57","doi-asserted-by":"crossref","first-page":"2031","DOI":"10.1016\/0009-2509(89)85139-5","article-title":"The effect of intraparticle convection on nutrient transport in porous biological pellets","volume":"44","author":"Stephanopoulos","year":"1989","journal-title":"Chem. Engng Sci."},{"key":"10.1016\/0098-1354(92)80058-H_BIB58","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/0009-2509(76)85007-5","article-title":"Transient behaviour of an adiabatic fixed-bed methanator I.","volume":"31","author":"Von","year":"1976","journal-title":"Chem. Engng. Sci."},{"key":"10.1016\/0098-1354(92)80058-H_BIB59","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/00986448908940185","article-title":"Steady-state and dynamic modelling of a packed bed reactor for the partial oxidation of methanol to formaldehyde. I. Model development","volume":"78","author":"Windes","year":"1989","journal-title":"Chem. Engng Commun"},{"issue":"3","key":"10.1016\/0098-1354(92)80058-H_BIB60","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1002\/aic.690030317","article-title":"Studies on effective thermal conductivities in packed beds","volume":"3","author":"Yagi","year":"1957","journal-title":"AIChE Jl"}],"container-title":["Computers &amp; Chemical Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:009813549280058H?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:009813549280058H?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,5,2]],"date-time":"2019-05-02T09:29:03Z","timestamp":1556789343000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/009813549280058H"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,8]]},"references-count":60,"journal-issue":{"issue":"8","published-print":{"date-parts":[[1992,8]]}},"alternative-id":["009813549280058H"],"URL":"https:\/\/doi.org\/10.1016\/0098-1354(92)80058-h","relation":{},"ISSN":["0098-1354"],"issn-type":[{"value":"0098-1354","type":"print"}],"subject":[],"published":{"date-parts":[[1992,8]]}}}