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Evolution of a localized thermal explosion in a reactive gasExperimental observations of ignition in premixed gaseous reactants indicate that perfectly homogeneous initiation is practically unrealizable. Instead, combustion first sets in, as a rule, at small, discrete sites where inherent inhomogeneities cause chemical activity to proceed preferentially and lead to localized explosions. Combustion waves propagating away from these hot spots or reaction centers eventually envelop the remaining bulk. This study examines the spatial structure and temporal evolution of a hot spot for a model involving Arrhenius kinetics. The hot spot, characterized by peaks in pressure and temperature with little diminution in local density, is shown to have one of two possible self-similar structures. The analysis employs a combination of asymptotics and numerics, and terminates when pressure and temperature in the explosion have peaked.
Document ID
19870008003
Acquisition Source
Legacy CDMS
Document Type
Preprint (Draft being sent to journal)
Authors
Jackson, T. L. (NASA Langley Research Center Hampton, VA, United States)
Kapila, A. K. (NASA Langley Research Center Hampton, VA, United States)
Stewart, D. S. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
September 5, 2013
Publication Date
January 1, 1987
Subject Category
Mathematical And Computer Sciences (General)
Report/Patent Number
ICASE-87-2
AD-A189170
NAS 1.26:178231
NASA-CR-178231
Accession Number
87N17436
Funding Number(s)
PROJECT: RTOP 505-90-21-01
CONTRACT_GRANT: NAS1-18107
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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