Analysis of Frank-Kamenetskii thermal explosion system of non-class a geometry based on Boltzmann method

Exothermic reaction systems of non-class A geometries are very common, with an endless rectangular rod typical. As a strong nonlinear source word is included in the governing equation, which is sensitive to the frank-kamenetskii parameter, there is no analytical solution. Many methods were previously suggested. However, with them are often non-physical solutions obtained. In this paper, the lattice Boltzmann process provides us with complete physical and precise solutions. We also analysed the sensitivity of the strong nonlinear source term and suggested advice for similar numerical calculations and experiments with thermal explosion.