Document Type : Regular Article


Department of Mechanical Engineering, University of Lagos, Lagos, Nigeria


Iron micro-particles when eject to the atmosphere from industries, factory and production enterprises pollute the atmosphere and generally affect the respiratory system. This paper presents a solution to such transient problem analytically by employing Variation of Parameter Method (VPM). For proper understanding of the problem chemistry and associated time of burning, the parameters involved are meticulously studied. The radiation property of the iron particle at high temperature as well as the impact of this temperature level on density are considered by incorporating radiation and linear micro particles density variation in the governing model. The obtained exact solution using VPM is verified with Runge-Kutta and also compared with the results of other works. Furthermore, error analysis is performed and discussed. The obtained result shows how the surrounding temperature and the heat realization term continue to influence combustible temperature history until an asymptotic behaviour is attained. It is envisaged that the present study will gain application in trying to annul some of the challenges the industries and firms have to overcome on combustion of solid combustibles like iron particles and also in the optimization of different particles burning time.


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