The present study presents analytical solution to transient combustion analysis for iron micro-particles in a gaseous oxidizing medium using Adomian decomposition method. The analytical solutions obtained by the Adomian decomposition method are verified with those of the fourth order Runge–Kutta numerical method. Also, parametric studies are carried out to properly understand the chemistry of the process and the associated burning time. Thermal radiation effect from the external surface of burning particle and variations of density of iron particle with temperature are considered. Furthermore, the results show that by increasing the heat realized parameter, combustion temperature increased until a steady state is reached. This work will be useful in solving to a great extent one of the challenges facing industries on combustion of metallic particles such as iron particles as well as in the determination of different particles burning time.