Ignition of a combustible half space

Journal Article · Tue Feb 01 04:00:00 EST 1983 · SIAM J. Appl. Math.; (United States)

DOI:https://doi.org/10.1137/0143001· OSTI ID:5854513

Olmstead, W E

A 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.

• Research Organization: Northwestern Univ., Evanston, IL
• DOE Contract Number: AC02-78ER04650
• OSTI ID: 5854513
• Journal Information: SIAM J. Appl. Math.; (United States), Journal Name: SIAM J. Appl. Math.; (United States) Vol. 43; ISSN SMJMA
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
400800* -- Combustion
Pyrolysis
& High-Temperature Chemistry
ASYMPTOTIC SOLUTIONS
CHEMICAL REACTION KINETICS
COMBUSTION KINETICS
CONVECTION
ENERGY LOSSES
ENERGY TRANSFER
EQUATIONS
HEAT LOSSES
HEAT TRANSFER
IGNITION
INTEGRAL EQUATIONS
KINETICS
LOSSES
MATHEMATICAL MODELS
ORGANIC MATTER
PARTICLE MODELS
REACTION KINETICS
STATISTICAL MODELS
THERMODYNAMIC MODEL