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Mathematical Modeling of Air Distribution in Mines Considering Different Ventilation Modes

Author

Listed:
  • Mikhail Semin

    (Mining Institute of the Ural Branch of the Russian Academy of Sciences, 614007 Perm, Russia)

  • Lev Levin

    (Mining Institute of the Ural Branch of the Russian Academy of Sciences, 614007 Perm, Russia)

Abstract

The calculation of air distribution in large mine ventilation networks is usually carried out by numerically solving a system of equations representing Kirchhoff’s circuit laws. This formulation of the problem traditionally only considers the frictional air resistance of straight sections of mine airways. However, when analyzing the changing ventilation modes, it is also important to correctly consider the shock losses, which sufficiently affect the redistribution of airflows. The reason is that the shock loss factor strongly depends on the airflow rates at the junctions of mine airways. This paper presents a mathematical model of a ventilation network that considers shock losses. The model considers steady-state air distribution as well as natural draft. The significance of the shock was confirmed with a practical example; we describe the application of the proposed mathematical model for the analysis of air distribution in the ventilation network of a potash mine during planned airflow reversal.

Suggested Citation

  • Mikhail Semin & Lev Levin, 2023. "Mathematical Modeling of Air Distribution in Mines Considering Different Ventilation Modes," Mathematics, MDPI, vol. 11(4), pages 1-15, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:989-:d:1069418
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    References listed on IDEAS

    as
    1. Yonggang Gou & Xiuzhi Shi & Jian Zhou & Xianyang Qiu & Xin Chen, 2017. "Characterization and Effects of the Shock Losses in a Parallel Fan Station in the Underground Mine," Energies, MDPI, vol. 10(6), pages 1-20, June.
    2. Aleksey Isaevich & Mikhail Semin & Lev Levin & Andrey Ivantsov & Tatyana Lyubimova, 2022. "Study on the Dust Content in Dead-End Drifts in the Potash Mines for Various Ventilation Modes," Sustainability, MDPI, vol. 14(5), pages 1-19, March.
    3. Enrique I. Acuña & Ian S. Lowndes, 2014. "A Review of Primary Mine Ventilation System Optimization," Interfaces, INFORMS, vol. 44(2), pages 163-175, April.
    4. Grzegorz Pach & Zenon Różański & Paweł Wrona & Adam Niewiadomski & Pavel Zapletal & Václav Zubíček, 2020. "Reversal Ventilation as a Method of Fire Hazard Mitigation in the Mines," Energies, MDPI, vol. 13(7), pages 1-17, April.
    5. Huiuk Yi & Minsik Kim & Dongkil Lee & Jongmyung Park, 2022. "Applications of Computational Fluid Dynamics for Mine Ventilation in Mineral Development," Energies, MDPI, vol. 15(22), pages 1-24, November.
    Full references (including those not matched with items on IDEAS)

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