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The transitional points of thermal explosion theory

dc.contributor.authorFenaughty, Kevin F
dc.date.accessioned2011-06-21T01:56:24Z
dc.date.accessioned2022-10-26T21:13:09Z
dc.date.available2011-06-21T01:56:24Z
dc.date.available2022-10-26T21:13:09Z
dc.date.copyright1981
dc.date.issued1981
dc.description.abstractThermal explosions occur when reactions generate heat too rapidly for a stable balance between heat production and heat loss to be maintained. The differential equation associated with this physical behaviour cannot be solved explicitly unless strong simplifications are made : these cases have been well-studied. For the classical problem, it is well-known that ignition phenomena continue up to a value εtr = RT a/E = 0.25. This upper bound is sharply defined, and is known as the transition point. Having developed a criterion characterising the transitional state, exact values are obtained for εtr for the three class A geometries and a range of Biot numbers using an implicit finite difference scheme. From these, an unusual relationship between εtr and reactant geometry for low Biot numbers is detected. Several approximate methods of obtaining these transition points are also described. The variational principle idea was found to give experimentally sound results with relatively little computational effort.en_NZ
dc.formatpdfen_NZ
dc.identifier.urihttps://ir.wgtn.ac.nz/handle/123456789/24933
dc.languageen_NZ
dc.language.isoen_NZ
dc.publisherTe Herenga Waka—Victoria University of Wellingtonen_NZ
dc.rights.holderAll rights, except those explicitly waived, are held by the Authoren_NZ
dc.rights.licenseAuthor Retains Copyrighten_NZ
dc.rights.urihttps://www.wgtn.ac.nz/library/about-us/policies-and-strategies/copyright-for-the-researcharchive
dc.subjectthermal explosion theoryen_NZ
dc.subjectHeat equationen_NZ
dc.subjectTransition temperatureen_NZ
dc.subjectMathematical modelsen_NZ
dc.titleThe transitional points of thermal explosion theoryen_NZ
dc.typeTexten_NZ
thesis.degree.disciplineMathematicsen_NZ
thesis.degree.grantorTe Herenga Waka—Victoria University of Wellingtonen_NZ
thesis.degree.levelMastersen_NZ
thesis.degree.nameMaster of Scienceen_NZ
vuwschema.type.vuwAwarded Research Masters Thesisen_NZ

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