Semi-analytical source method for reaction-diffusion problems

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buir.contributor.authorÇetin, Barbaros
dc.citation.epage061301-10en_US
dc.citation.issueNumber6en_US
dc.citation.spage061301-1en_US
dc.citation.volumeNumber140en_US
dc.contributor.authorCole, K. D.en_US
dc.contributor.authorÇetin, Barbarosen_US
dc.contributor.authorDemirel, Y.en_US
dc.date.accessioned2019-02-21T16:06:18Z
dc.date.available2019-02-21T16:06:18Z
dc.date.issued2018en_US
dc.departmentDepartment of Mechanical Engineeringen_US
dc.description.abstractEstimation of thermal properties, diffusion properties, or chemical-reaction rates from transient data requires that a model is available that is physically meaningful and suitably precise. The model must also produce numerical values rapidly enough to accommodate iterative regression, inverse methods, or other estimation procedures during which the model is evaluated again and again. Applications that motivate the present work include process control of microreactors, measurement of diffusion properties in microfuel cells, and measurement of reaction kinetics in biological systems. This study introduces a solution method for nonisothermal reaction-diffusion (RD) problems that provides numerical results at high precision and low computation time, especially for calculations of a repetitive nature. Here, the coupled heat and mass balance equations are solved by treating the coupling terms as source terms, so that the solution for concentration and temperature may be cast as integral equations using Green’s functions (GF). This new method requires far fewer discretization elements in space and time than fully numeric methods at comparable accuracy. The method is validated by comparison with a benchmark heat transfer solution and a commercial code. Results are presented for a first-order chemical reaction that represents synthesis of vinyl chloride. Copyright
dc.description.provenanceMade available in DSpace on 2019-02-21T16:06:18Z (GMT). No. of bitstreams: 1 Bilkent-research-paper.pdf: 222869 bytes, checksum: 842af2b9bd649e7f548593affdbafbb3 (MD5) Previous issue date: 2018en
dc.description.sponsorshipThis work was supported by the University of Nebraska Foundation through the Global Faculty Associates program.
dc.identifier.doi10.1115/1.4038987
dc.identifier.issn0022-1481
dc.identifier.urihttp://hdl.handle.net/11693/50303
dc.language.isoEnglish
dc.publisherAmerican Society of Mechanical Engineers (ASME)
dc.relation.isversionofhttps://doi.org/10.1115/1.4038987
dc.relation.projectUniversity of Nebraska-Lincoln, UNL
dc.source.titleJournal of Heat Transferen_US
dc.subjectCross-dependenceen_US
dc.subjectExact green’s functionen_US
dc.subjectHeat transferen_US
dc.subjectMass transferen_US
dc.subjectNonlinear partial differential equationen_US
dc.subjectPiecewise-constant sourceen_US
dc.titleSemi-analytical source method for reaction-diffusion problemsen_US
dc.typeArticleen_US

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