Next Article in Journal
Case Study of Underground Shield Tunnels in Interchange Piles Foundation Underpinning Construction
Next Article in Special Issue
Energy Recovery from Vinery Waste: Dust Explosion Issues
Previous Article in Journal
Low-Power Beam-Switching Technique for Power-Efficient Collaborative IoT Edge Devices
Article

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

Institute of Engineering and Technology, South Ural State University, 76 Prospekt Lenina, 454080 Chelyabinsk, Russia
*
Author to whom correspondence should be addressed.
Academic Editor: Nicholas Sarlis
Appl. Sci. 2021, 11(4), 1609; https://doi.org/10.3390/app11041609
Received: 12 January 2021 / Revised: 27 January 2021 / Accepted: 8 February 2021 / Published: 10 February 2021
(This article belongs to the Special Issue Dust Explosions in Industrial Processes)
This study focuses on the development of new methodological approaches to dust-preparation and burning of separated particles, including through the use of polyfractional ensembles. Coal dust screening by means of sieve analysis is described in standard methods. However, in order to further use the results obtained during mathematical modeling of particle motion in fuel-air mixture and exothermal reactions of oxidation while burning in a torch, it must be possible to differentiate and integrate continuous functions. The methodology is based on the continuity of particle motion in a mixture with air in the calculation of aerodynamic and heat-mass exchange processes in a torch. The paper employs new scientific approaches to transforming and normalizing a continuously differentiable function described by the Gauss curve. We propose to combine mathematical modeling of such functions with methods of approximation of piece-linear functions developed by Professor S. V. Aliukov. The implementation of such methods helps reduce calculation errors of particle size and deviations thereof from average equivalent diameter and to avoid the Gibbs effect while differentiating. The paper contains analytical calculations based on the proposed method and experimental data. Quantitative and qualitative results of comparing analytical and experimental data are also presented. We provide recommendations on the further use and extension of the range of the results obtained in a computer simulation of fuel production and burning processes in a torch. View Full-Text
Keywords: burning; coal; coal dust screening; coal particles; piece-linear functions burning; coal; coal dust screening; coal particles; piece-linear functions
Show Figures

Figure 1

MDPI and ACS Style

Aliukov, S.; Osintsev, K. Mathematical Modeling of Coal Dust Screening by Means of Sieve Analysis and Coal Dust Combustion Based on New Methods of Piece-Linear Function Approximation. Appl. Sci. 2021, 11, 1609. https://doi.org/10.3390/app11041609

AMA Style

Aliukov S, Osintsev K. Mathematical Modeling of Coal Dust Screening by Means of Sieve Analysis and Coal Dust Combustion Based on New Methods of Piece-Linear Function Approximation. Applied Sciences. 2021; 11(4):1609. https://doi.org/10.3390/app11041609

Chicago/Turabian Style

Aliukov, Sergei, and Konstantin Osintsev. 2021. "Mathematical Modeling of Coal Dust Screening by Means of Sieve Analysis and Coal Dust Combustion Based on New Methods of Piece-Linear Function Approximation" Applied Sciences 11, no. 4: 1609. https://doi.org/10.3390/app11041609

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop