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Ignition of a combustible half spaceA half space of combustible material is subjected to an arbitrary energy flux at the boundary where convection heat loss is also allowed. An asymptotic analysis of the temperature growth reveals two conditions necessary for ignition to occur. Cases of both large and order unity Lewis number are shown to lead to a nonlinear integral equation governing the thermal runaway. Some global and asymptotic properties of the integral equation are obtained.
Document ID
19830041520
Document Type
Reprint (Version printed in journal)
Authors
Olmstead, W. E. (Northwestern University Evanston, IL, United States)
Date Acquired
August 11, 2013
Publication Date
February 1, 1983
Publication Information
Publication: SIAM Journal on Applied Mathematics
Volume: 43
Subject Category
INORGANIC AND PHYSICAL CHEMISTRY
Funding Number(s)
CONTRACT_GRANT: N00014-80-C-0196
CONTRACT_GRANT: DE-AC02-78ER-04650
CONTRACT_GRANT: NSF MCS-80-02759
CONTRACT_GRANT: NAS3-3881
Distribution Limits
Public
Copyright
Other