IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i4p989-d1069418.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/4/989/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/4/989/
    Download Restriction: no
    ---><---

    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)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jie Hou & Gang Nie & Guoqing Li & Wei Zhao & Baoli Sheng, 2023. "Optimization of Branch Airflow Volume for Mine Ventilation Network Based on Sensitivity Matrix," Sustainability, MDPI, vol. 15(16), pages 1-14, August.
    2. Lixue Wen & Deyun Zhong & Lin Bi & Liguan Wang & Yulong Liu, 2024. "Optimization Method of Mine Ventilation Network Regulation Based on Mixed-Integer Nonlinear Programming," Mathematics, MDPI, vol. 12(17), pages 1-16, August.
    3. Xuemin Ye & Fuwei Fan & Ruixing Zhang & Chunxi Li, 2019. "Prediction of Performance of a Variable-Pitch Axial Fan with Forward-Skewed Blades," Energies, MDPI, vol. 12(12), pages 1-20, June.
    4. Deyun Zhong & Liguan Wang & Jinmiao Wang & Mingtao Jia, 2020. "An Efficient Mine Ventilation Solution Method Based on Minimum Independent Closed Loops," Energies, MDPI, vol. 13(22), pages 1-16, November.
    5. Zhongwei Wang & Ting Ren & Liqiang Ma & Jian Zhang, 2018. "Investigations of Ventilation Airflow Characteristics on a Longwall Face—A Computational Approach," Energies, MDPI, vol. 11(6), pages 1-25, June.
    6. Adam Wróblewski & Arkadiusz Macek & Aleksandra Banasiewicz & Sebastian Gola & Maciej Zawiślak & Anna Janicka, 2023. "CFD Analysis of the Forced Airflow and Temperature Distribution in the Air-Conditioned Operator’s Cabin of the Stationary Rock Breaker in Underground Mine under Increasing Heat Flux," Energies, MDPI, vol. 16(9), pages 1-18, April.
    7. Florencio Fernánez-Alaiz & Ana Maria Castañón & Fernando Gómez-Fernández & Antonio Bernardo-Sánchez & Marc Bascompta, 2020. "Analysis of the Fire Propagation in a Sublevel Coal Mine," Energies, MDPI, vol. 13(14), pages 1-16, July.
    8. Nikodem Szlązak & Marek Korzec, 2024. "Conditions That Determine Changing the Function of Mine Shafts in a Gassy Coal Mine—A Case Study," Energies, MDPI, vol. 17(6), pages 1-19, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:989-:d:1069418. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.