Disappearance of criticality in a branched-chain thermal explosion with heat loss

• Published in: Combustion and flame Vol. 144; no. 1; pp. 410 - 414
• Main Author: Okoya, S.S.
• Format: Journal Article
• Language: English
• Published: New York, NY Elsevier Inc 2006; Elsevier Science
• Subjects: ANALYTICAL SOLUTION; Applied sciences; Combustion. Flame; DIMENSIONLESS NUMBERS; Energy; Energy. Thermal use of fuels; Exact sciences and technology; EXPLOSIONS; HEAT LOSSES; HYDROGEN; INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; OXYGEN; Theoretical studies; Theoretical studies. Data and constants. Metering; Oxygen; Hydrogen; Thermal explosion; Arrhenius equation; Heat loss; Combustion; Modeling
• ISSN: 0010-2180; 1556-2921
• DOI: 10.1016/j.combustflame.2005.09.004

Branched-chain thermal explosions involving simplified initiation, branching, and termination of chains, as well as heat exchange with the surroundings, are considered, but it is assumed that consumption of fuel is negligible for combustion in a mixture of H{sub 2}+O{sub 2} that covers nth Arrhenius kinetics for the chain-branching step. In particular, the effect of heat loss on the problem is considered, Mostly analytical investigations of the simplified model are presented using standard Semenov's techniques. The analytical method provides expressions for criticality and the transition points. Also, the different qualitative effects of varying the dimensionless parameters are investigated.