This work uses the boundary layer theory to study the thermal ignition process of the solid particle. The theoretical model explores the two-dimensional boundary layer equations in the gaseous phase. The governing equations of mass, momentum, energy, and species in gas phase are first transformed to ordinary differential equations through series expansion with respect to the azimuthal angle. The equations are then quasi-linearized to be the initial value problem and solved using Runge-Kutta method. The minimum heat flux from the gas phase to the fuel is evaluated as the most suitable criterion for the convective thermal ignition. The influences of the heat transfer rate, fluid dynamics, and the gas phase chemical reaction rate on the ignition delay and ignition position are discussed in detail.

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