Pointsymmetries of Equations Describing Laminar Premixed Flame Dynamics

Abstract

The equations of combustion processes playing an important role in industrial applications are discussed. After some simplification only the balance of mass and energy are stayed. The terms describing chemical reactions are varied by use of Arrhenius and logistical approaches. Point symmetries allow us to clarify physical meaning of reaction processes under consideration which is very important to improve the models. Due to nonlinearity and special conditions those equations are usually solved in a numerical way. An analytical solution gives one the possibility to understand physical processes in combustion systems and helps to reduce the calculation time.