Multi-scale analysis of exotic dynamics in surface catalyzed reactions—II
Identifieur interne : 002D64 ( Istex/Corpus ); précédent : 002D63; suivant : 002D65Multi-scale analysis of exotic dynamics in surface catalyzed reactions—II
Auteurs : Mobolaji Aluko ; Hsueh-Chia ChangSource :
- Chemical Engineering Science [ 0009-2509 ] ; 1983.
Abstract
The multi-time-scale approach to modelling heterogeneously catalysed reaction systems developed in a companion paper [1] is applied to a simple Langmuir-Hinshelwood mechanistic scheme for an overall reaction 2A(g) + B(g)→products supplemented by a slow buffering step involving a chemisorbed inert species. Based on leading-order approximations to the full governing equations and the use of non-linear algebraic equations in the definition of system manifolds and prediction lociin appropriate phase planes, regions of different dynamic behaviors (stationary states, single and multipeak oscillations) are qualitatively and quantitatively delineated as a function of residence time. The bifurcation predictions from the leading-order approximations achieve remarkable agreement both with numerical integration results as well as at local bifurcation points obtained via Hopf analysis of the full equations. Numerical simulations reveal some very complex (“chaotic”?) behavior in the multipeak region, with an indication that the onset of chaos may be via intermittency. It is expected that the application of multi-time-scale analysis to specific well-characterized reaction systems will provide fuller understanding of past and adequate theoretical guidance for future work.
Url:
DOI: 10.1016/0009-2509(84)80129-3
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Based on leading-order approximations to the full governing equations and the use of non-linear algebraic equations in the definition of system manifolds and prediction lociin appropriate phase planes, regions of different dynamic behaviors (stationary states, single and multipeak oscillations) are qualitatively and quantitatively delineated as a function of residence time. The bifurcation predictions from the leading-order approximations achieve remarkable agreement both with numerical integration results as well as at local bifurcation points obtained via Hopf analysis of the full equations. Numerical simulations reveal some very complex (“chaotic”?) behavior in the multipeak region, with an indication that the onset of chaos may be via intermittency. 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Based on leading-order approximations to the full governing equations and the use of non-linear algebraic equations in the definition of system manifolds and prediction lociin appropriate phase planes, regions of different dynamic behaviors (stationary states, single and multipeak oscillations) are qualitatively and quantitatively delineated as a function of residence time. The bifurcation predictions from the leading-order approximations achieve remarkable agreement both with numerical integration results as well as at local bifurcation points obtained via Hopf analysis of the full equations. Numerical simulations reveal some very complex (“chaotic”?) behavior in the multipeak region, with an indication that the onset of chaos may be via intermittency. 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Based on leading-order approximations to the full governing equations and the use of non-linear algebraic equations in the definition of system manifolds and prediction lociin appropriate phase planes, regions of different dynamic behaviors (stationary states, single and multipeak oscillations) are qualitatively and quantitatively delineated as a function of residence time. The bifurcation predictions from the leading-order approximations achieve remarkable agreement both with numerical integration results as well as at local bifurcation points obtained via Hopf analysis of the full equations. Numerical simulations reveal some very complex (“chaotic”?) behavior in the multipeak region, with an indication that the onset of chaos may be via intermittency. 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Based on leading-order approximations to the full governing equations and the use of non-linear algebraic equations in the definition of system manifolds and prediction lociin appropriate phase planes, regions of different dynamic behaviors (stationary states, single and multipeak oscillations) are qualitatively and quantitatively delineated as a function of residence time. The bifurcation predictions from the leading-order approximations achieve remarkable agreement both with numerical integration results as well as at local bifurcation points obtained via Hopf analysis of the full equations. Numerical simulations reveal some very complex (“chaotic”?) behavior in the multipeak region, with an indication that the onset of chaos may be via intermittency. It is expected that the application of multi-time-scale analysis to specific well-characterized reaction systems will provide fuller understanding of past and adequate theoretical guidance for future work.</ce:simple-para></ce:abstract-sec></ce:abstract></head></converted-article></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Multi-scale analysis of exotic dynamics in surface catalyzed reactions—II</title><subTitle>Quantitative parameter space analysis of an extended Langmuir-Hinshelwood reaction scheme</subTitle></titleInfo><titleInfo type="alternative" lang="en" contentType="CDATA"><title>Multi-scale analysis of exotic dynamics in surface catalyzed reactions—II</title><subTitle>Quantitative parameter space analysis of an extended Langmuir-Hinshelwood reaction scheme</subTitle></titleInfo><name type="personal"><namePart type="given">Mobolaji</namePart><namePart type="family">Aluko</namePart><affiliation>Department of Chemical and Nuclear Engineering, University of California, Santa Barbara, CA 93106, U.S.A.</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Hsueh-Chia</namePart><namePart type="family">Chang</namePart><affiliation>Department of Chemical and Nuclear Engineering, University of California, Santa Barbara, CA 93106, U.S.A.</affiliation><description>Author to whom correspondence should be addressed.</description><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="Full-length article"></genre><originInfo><publisher>ELSEVIER</publisher><dateIssued encoding="w3cdtf">1983</dateIssued><dateValid encoding="w3cdtf">1983-04-21</dateValid><copyrightDate encoding="w3cdtf">1984</copyrightDate></originInfo><language><languageTerm type="code" authority="iso639-2b">eng</languageTerm><languageTerm type="code" authority="rfc3066">en</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType></physicalDescription><abstract lang="en">The multi-time-scale approach to modelling heterogeneously catalysed reaction systems developed in a companion paper [1] is applied to a simple Langmuir-Hinshelwood mechanistic scheme for an overall reaction 2A(g) + B(g)→products supplemented by a slow buffering step involving a chemisorbed inert species. Based on leading-order approximations to the full governing equations and the use of non-linear algebraic equations in the definition of system manifolds and prediction lociin appropriate phase planes, regions of different dynamic behaviors (stationary states, single and multipeak oscillations) are qualitatively and quantitatively delineated as a function of residence time. The bifurcation predictions from the leading-order approximations achieve remarkable agreement both with numerical integration results as well as at local bifurcation points obtained via Hopf analysis of the full equations. Numerical simulations reveal some very complex (“chaotic”?) behavior in the multipeak region, with an indication that the onset of chaos may be via intermittency. It is expected that the application of multi-time-scale analysis to specific well-characterized reaction systems will provide fuller understanding of past and adequate theoretical guidance for future work.</abstract><relatedItem type="host"><titleInfo><title>Chemical Engineering Science</title></titleInfo><titleInfo type="abbreviated"><title>CES</title></titleInfo><genre type="Journal">journal</genre><originInfo><dateIssued encoding="w3cdtf">1984</dateIssued></originInfo><identifier type="ISSN">0009-2509</identifier><identifier type="PII">S0009-2509(00)X0401-0</identifier><part><date>1984</date><detail type="volume"><number>39</number><caption>vol.</caption></detail><detail type="issue"><number>1</number><caption>no.</caption></detail><extent unit="issue pages"><start>1</start><end>206</end></extent><extent unit="pages"><start>51</start><end>64</end></extent></part></relatedItem><identifier type="istex">AC4C47F89BF1463BBF343BFC1EABF92B0A225A80</identifier><identifier type="DOI">10.1016/0009-2509(84)80129-3</identifier><identifier type="PII">0009-2509(84)80129-3</identifier><identifier type="ArticleID">84801293</identifier><recordInfo><recordContentSource>ELSEVIER</recordContentSource></recordInfo></mods></metadata><enrichments><istex:refBibTEI uri="https://api.istex.fr/document/AC4C47F89BF1463BBF343BFC1EABF92B0A225A80/enrichments/refBib"><teiHeader></teiHeader><text><front></front><body></body><back><listBibl><biblStruct><analytic><author><persName><forename type="first">M</forename><forename type="middle">B</forename><surname>Cultip</surname></persName></author><author><persName><forename type="first">C</forename><forename type="middle">N</forename><surname>Kenney</surname></persName></author></analytic><monogr><title level="m">5th In!. 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