Abstract
The self-ignition phenomenon of flammable fluids in lagging material is investigated in the case of large activation energy and using spatially uniform assumptions. A complete classification of the dynamical regimes includes slow regimes, thermal explosion, and a novel type of dynamical regime termed `thermal explosion with delay.' All possible transition scenarios between the different types of regimes are investigated. An explicit analytical description is obtained for the safe parametric domain in which the initial self-heating does not lead to a final ignition event.
Original language | English |
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Pages (from-to) | 1251-1266 |
Number of pages | 16 |
Journal | SIAM Journal on Applied Mathematics |
Volume | 59 |
Issue number | 4 |
DOIs | |
State | Published - 1 Jan 1999 |
ASJC Scopus subject areas
- Applied Mathematics