Abstract
The combustion is an extremely complicated phenomenon accompanied by several interactive processes such as chemical reaction, heat and mass transfer and gaseous flow. Therefore, the main stream of the combustion study has so far been the phenomenological approach based on experimental findings, and the contribution of the theoretical approach has been very limited. However, the recent remarkable progress in the asymptotic analysis is going to change this situation. The method was originally adopted in the late '30s by the Russian school, but its full power has been achieved only in the last two decades. In this report, the one-dimensional flame theory with simplified one-step kinetics will be explained, in the beginning, to show how the burning velocity can be given as an eigenvalue of the conservation equations. Then the asymptotic analysis will be introduced to obtain the analytical solution so as to illustrate utility and essential natures of the method.
