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Theory development of simplified mathematical models of pneumatic processes

https://doi.org/10.46973/0201-727X_2023_4_164

Abstract

This paper solves the problem of modeling the operation of pneumatic systems, in particular the issue of air outflow from the tank into the atmosphere. The calculation models of pneumatic systems currently used are based on rather complex equations taken from gas dynamics and hydraulics. To simplify engineering calculations and reduce the load on computing equipment during modeling, a methodology and calculation equations for the outflow of compressed air from a tank with a given volume and area of the outlet were proposed. The theoretical substantiation of the proposed equations through the construction of the energy balance was carried out. An equation is also proposed that allows, based on an exponential function for a known volume, initial pressure and outlet area, to simulate the process of air escaping into the atmosphere. The obtained equations are compared with experimental data. 

About the Author

P. Yu. Ivanov
Irkutsk State Transport University (IrGUPS)
Russian Federation

Ivanov Pavel Yurievich, Chair «Electric rolling stock»,
Candidate of Engineering Sciences, Associate Professor



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Review

For citations:


Ivanov P.Yu. Theory development of simplified mathematical models of pneumatic processes. Vestnik Rostovskogo Gosudarstvennogo Universiteta Putej Soobshcheniya. 2023;(4):164-174. (In Russ.) https://doi.org/10.46973/0201-727X_2023_4_164

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