Evaluation of Flame Propagation Speed in a System of Random Discrete Sources for Spherical Particles in a Three-Dimensional Space

Abstract

Realistic estimation of combustion phenomenon can be achieved by considering a random distribution for the particles instead of uniform distribution. Hence, in this study, theoretical investigation of aluminum particles combustion is studied three dimensionally with the consideration of random dispersion for discrete sources. Moreover, flame propagation speed is predicted through a proposed thermal model in a reaction medium. In addition, it is inferred that the propagation speed of the flame is a function of concentration and diameter of aluminum dust; while the minimum ignition energy is a function of particle diameter and equivalence ratio. A suitable prediction of the model is concluded by comparing the obtained results with the experimental and analytical data.