On the Dynamics of the Ignition of Paper and Catastrophe Theory

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/493 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/493 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/493 archive 351 disk0/00/00/04/74 2016-01-15 01:42:51 2021-08-27 17:08:11 2016-01-15 01:42:51 monograph show 2 Mehra R.K. AL0259 Blum E.H. AL0035 On the Dynamics of the Ignition of Paper and Catastrophe Theory pub iis_mod iis_met prog_sds The purpose of this note is to study the phenomenon of ignition of paper considered by Shivadev and Emmons from the viewpoint of stability theory and catastrophe theory. It is shown that ignition results from a sudden or catastrophic change of the kinetics governing temperature from a locally stable to a locally unstable equation. Using the model of Shivadev and Emmons and the above criterion, equations for the ignition temperature and the corresponding heat flux are derived. These equations are shown to provide a good match to the experimental data of Reference. Further extensions of this work to combustion and the appearance of cusp catastrophes are also discussed. 1975-07 published RM-75-042 RM-75-042 10 2182 1737 public research_memorandum IIASA, Laxenburg, Austria 22 FALSE info:eu-repo/semantics/book