Abstract
This paper presents analytical solution to the transient combustion analysis for iron micro-particles in a gaseous oxidizing medium using Daftardar -- Gejji and Jeffari Method (DJM). Also, parametric studies are carried out to properly understand the chemistry of the process and the associated burning time. Combusting particle thermal radiation effect and its linear density variation with temperature are applied. The generated analytical solution obtained by DJM are verified with an efficient numerical (fourth order Runge -- Kutta, RK4) scheme. Results show that DJM is an efficient scheme for the problem. Also, the parametric study performed in this work shows that as the heat realized parameter and the surrounding emperature are increased, the combusting particle temperature increased rapidly until an asymptotic behaviour is attained. 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.
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