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Pressure Change in a Duct with a Flow of a Homogeneous Gaseous Substance in the Presence of a Point Mass and Momentum Sink of Gas

Author

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  • Bogusław Ptaszyński

    (Faculty of Civil Engineering and Resource Management, AGH University of Krakow, 30-059 Krakow, Poland)

  • Rafał Łuczak

    (Faculty of Civil Engineering and Resource Management, AGH University of Krakow, 30-059 Krakow, Poland)

  • Zbigniew Kuczera

    (Faculty of Civil Engineering and Resource Management, AGH University of Krakow, 30-059 Krakow, Poland)

  • Piotr Życzkowski

    (Faculty of Civil Engineering and Resource Management, AGH University of Krakow, 30-059 Krakow, Poland)

  • Klaudia Zwolińska-Glądys

    (Faculty of Civil Engineering and Resource Management, AGH University of Krakow, 30-059 Krakow, Poland)

  • Marek Borowski

    (Faculty of Civil Engineering and Resource Management, AGH University of Krakow, 30-059 Krakow, Poland)

Abstract

The flow characteristics of homogeneous gases in complex systems are an important issue in many areas, including underground mines. The flow in mine excavations and ventilation systems is described by known mathematical relationships that could be applied to various cases. In this paper, a flow in a duct with a local sink of mass and momentum for multiple variants of cooperation of a mechanical fan was analyzed. The relationships for the total and static pressure of air in the duct were derived. In the next stage, a calculation example of how the mass flow rate of air, and the total and static pressure of the flowing air will change in the tested sections for the duct with and without a sink, is presented. The derived formulas and calculated values for the considered calculation case allow the verification of the obtained relationships at the measurement station. Analyzing the results of the examples presented in the article, it can be concluded that the total and static pressure at the sink point differ depending on the equation of motion used. In the case of the classic equation, the value of total pressure is lower than the value calculated from the new equation of motion, and the difference between them is about 20 Pa. In the case of static pressure, this difference is about 46 Pa. Qualitative differences in the static pressure distribution at the release location were also demonstrated. Depending on the applied approach, positive or negative changes in the static pressure are noticed. The presented form of the equation of motion made it possible to determine the flow characteristics in the duct with a point mass and momentum sink in the case of the operation with and without a fan.

Suggested Citation

  • Bogusław Ptaszyński & Rafał Łuczak & Zbigniew Kuczera & Piotr Życzkowski & Klaudia Zwolińska-Glądys & Marek Borowski, 2024. "Pressure Change in a Duct with a Flow of a Homogeneous Gaseous Substance in the Presence of a Point Mass and Momentum Sink of Gas," Energies, MDPI, vol. 17(20), pages 1-28, October.
    • Handle: RePEc:gam:jeners:v:17:y:2024:i:20:p:5216-:d:1502645
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    References listed on IDEAS

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    1. Abeysekera, M. & Wu, J. & Jenkins, N. & Rees, M., 2016. "Steady state analysis of gas networks with distributed injection of alternative gas," Applied Energy, Elsevier, vol. 164(C), pages 991-1002.
    2. Bogusław Ptaszyński & Rafał Łuczak & Zbigniew Kuczera & Piotr Życzkowski, 2022. "Influence of Local Gas Sources with Variable Density and Momentum on the Flow of the Medium in the Conduit," Energies, MDPI, vol. 15(16), pages 1-14, August.
    3. Vasyl Zapukhliak & Lyubomyr Poberezhny & Pavlo Maruschak & Volodymyr Grudz Jr. & Roman Stasiuk & Janette Brezinová & Anna Guzanová, 2019. "Mathematical Modeling of Unsteady Gas Transmission System Operating Conditions under Insufficient Loading," Energies, MDPI, vol. 12(7), pages 1-14, April.
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