Mathematical Modeling of Coal Dust Screening by Means of Sieve Analysis and Coal Dust Combustion Based on New Methods of Piece-Linear Function Approximation

This study focuses on the development of new methodological approaches to dust-preparation and burning separated particles, including through use polyfractional ensembles. Coal dust screening by means sieve analysis is described in standard methods. However, order further results obtained during mathematical modeling particle motion fuel-air mixture exothermal reactions oxidation while a torch, it must be possible differentiate integrate continuous functions. The methodology based continuity with air calculation aerodynamic heat-mass exchange processes torch. paper employs scientific transforming normalizing continuously differentiable function Gauss curve. We propose combine such functions methods approximation piece-linear developed Professor S. V. Aliukov. implementation helps reduce errors size deviations thereof from average equivalent diameter avoid Gibbs effect differentiating. contains analytical calculations proposed method experimental data. Quantitative qualitative comparing data are also presented. provide recommendations extension range computer simulation fuel production