Applications of Large Heat Release Asymptotics

摘要

Since the early 1970's activation energy asymptotics (AEA) has dominated the analysis of combustion. In more recent years attempts have been made to use this tool for the study of flame structure with multistep kinetics. In certain instances the AEA approach has led to solutions that do not resemble the numerical solutions of the full equations, as in the ozone decomposition flame for example, or physically unrealistic assumptions are made to force the solution to look realistic as in the analysis of stretch resistant flames. These difficulties have been overcome through the use of large heat release asymptotics (LHRA). The development and implementation of this technique is outlined in this report through the examination of the far field structure of a premixed flame with multistep kinetics, the finding of a new similarity solution for reacting gas flow, and the analysis of a strained flame with multistep kinetics. Combustion, applied mathematics, asymptotic methods. (jes)