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dc.contributor.authorVohra, Manav
dc.contributor.authorWinokur, Justin
dc.contributor.authorOverdeep, Kyle R.
dc.contributor.authorMarcello, Paul
dc.contributor.authorWeihs, Timothy P.
dc.contributor.authorKnio, Omar
dc.date.accessioned2015-05-05T08:38:24Z
dc.date.available2015-05-05T08:38:24Z
dc.date.issued2014-12-15
dc.identifier.citationDevelopment of a reduced model of formation reactions in Zr-Al nanolaminates 2014, 116 (23):233501 Journal of Applied Physics
dc.identifier.issn0021-8979
dc.identifier.issn1089-7550
dc.identifier.doi10.1063/1.4903816
dc.identifier.urihttp://hdl.handle.net/10754/552276
dc.description.abstractA computational model of anaerobic reactions in metallic multilayered systems with an equimolar composition of zirconium and aluminum is developed. The reduced reaction formalism of M. Salloum and O. M. Knio, Combust. Flame 157(2): 288–295 (2010) is adopted. Attention is focused on quantifying intermixing rates based on experimental measurements of uniform ignition as well as measurements of self-propagating front velocities. Estimates of atomic diffusivity are first obtained based on a regression analysis. A more elaborate Bayesian inference formalism is then applied in order to assess the impact of uncertainties in the measurements, potential discrepancies between predictions and observations, as well as the sensitivity of predictions to inferred parameters. Intermixing rates are correlated in terms of a composite Arrhenius law, which exhibits a discontinuity around the Al melting temperature. Analysis of the predictions indicates that Arrhenius parameters inferred for the low-temperature branch lie within a tight range, whereas the parameters of the high-temperature branch are characterized by higher uncertainty. The latter is affected by scatter in the experimental measurements, and the limited range of bilayers where observations are available. For both branches, the predictions exhibit higher sensitivity to the activation energy than the pre-exponent, whose posteriors are highly correlated.
dc.publisherAIP Publishing
dc.relation.urlhttp://scitation.aip.org/content/aip/journal/jap/116/23/10.1063/1.4903816
dc.rightsArchived with thanks to Journal of Applied Physics
dc.titleDevelopment of a reduced model of formation reactions in Zr-Al nanolaminates
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalJournal of Applied Physics
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionDepartment of Mechanical Engineering and Materials Science Duke University Durham, North Carolina 27708, USA
dc.contributor.institutionDepartment of Mechanical Engineering and Materials Science Duke University Durham, North Carolina 27708, USA
dc.contributor.institutionDepartment of Materials Science and Engineering Johns Hopkins University Baltimore, Maryland 21218, USA
dc.contributor.institutionDepartment of Materials Science and Engineering Johns Hopkins University Baltimore, Maryland 21218, USA
dc.contributor.institutionDepartment of Materials Science and Engineering Johns Hopkins University Baltimore, Maryland 21218, USA
dc.contributor.institutionDepartment of Mechanical Engineering and Materials Science Duke University Durham, North Carolina 27708, USA
kaust.personKnio, Omar
refterms.dateFOA2015-12-15T00:00:00Z
dc.date.published-online2014-12-15
dc.date.published-print2014-12-21


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