The Introduction of Criteria Parameter in Spontaneous Combustion Problem

Abstract

The governing equation of spontaneous combustion is a partial differential equation (PDE) of heat conduction. With the help of numerical simulation, we can get the solution of this problem. But in order to identify the risk of spontaneous combustion in engineering problem, the method of numerical simulation seems too complex and is hard to be used by engineers. So we wish that we can get a criteria parameter to identify the risk of spontaneous combustion more easily. There are two theories about the spontaneous combustion-the theory of Semenov and the theory of Frank-Kamenetskii. In this thesis, we will introduce their theories first and then we’ll introduce the theory of criteria parameter in the problem of spontaneous combustion through analyzing the mathematical model and simplifying the problem. At last, we’ll give our criteria to identify the risk of spontaneous combustion problem.