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

Bogusław Ptaszyński, Rafał Łuczak (), Zbigniew Kuczera, Piotr Życzkowski, Klaudia Zwolińska-Glądys () and Marek Borowski
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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

Energies, 2024, vol. 17, issue 20, 1-28

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.

Keywords: fluid flow; mass and momentum sink; fan characteristics; pressure distribution; total pressure; static pressure (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2024
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