Theory for Endothermic Gasification of a Solid by a Constant Energy Flux
- 1 January 1975
- journal article
- research article
- Published by Taylor & Francis in Combustion Science and Technology
- Vol. 10 (1-2) , 1-19
- https://doi.org/10.1080/00102207508946653
Abstract
By asymptotic methods, which treat the ratio of the thermal energy to the activation energy for gasification as a small parameter, the entire temperature-time history is derived for a semi-infinite solid, whose surface is subjected to a constant energy flux. It is found that an initial stage of inert heat-conduction is separated from a final stage of transport-controlled gasification by a short transition stage, which contains reactive-diffusive and transient-diffusive zones if distributed gasification occurs. The time to onset of gasification is obtained from an analysis of the transition stage. The manner of approach to quasisteady regression is described by the perturbation analysis. The results are of interest in connection with ignition of reactive solids which experience exothermic reactions only in the gas phase. In particular, it is shown that within the accuracy to which experiments can be performed, the dependence of ignition time on heat flux for such materials is identical with the dependence for materials which exhibit condensed-phase or interfacial ignition reactions, provided that the gas-phase reaction time is small compared with the time to onset of gasification.Keywords
This publication has 10 references indexed in Scilit:
- Radiant ignition of a reactive solid with in-depth absorptionPublished by Elsevier ,2006
- An Asymptotic Analysis of Radiant and Hypergolic Heterogeneous Ignition of Solid PropellantsCombustion Science and Technology, 1972
- Theory of Ignition of a Reactive Solid by Constant Energy FluxCombustion Science and Technology, 1971
- Thermal degradation kinetics and surface pyrolysis of vinyl polymersAIAA Journal, 1970
- Theory of Radiant and Hypergolic Ignition of Solid PropellantsCombustion Science and Technology, 1970
- Theory of Ignition of a Reactive Solid by Constant Energy FluxCombustion Science and Technology, 1970
- Theory of propellant ignition by heterogeneous reaction.AIAA Journal, 1966
- Theory of ignition of solid propellants.AIAA Journal, 1966
- Ignition of an evaporating fuel in a hot, stagnant gas containing an oxidizerAIAA Journal, 1965
- Heat conduction in a melting solidQuarterly of Applied Mathematics, 1950