Accounting for compressed gas properties in the mathematical model of a spool valve

Accounting for the influence of compressed gas properties on the control valve parameters along with reliable mathematical models of actuating motors based on load-carrying shell elements makes it possible to use a pneumatic drive in computer-controlled closed-loop systems. In this paper, a mathematical model of an electro-pneumatic valve is developed on the basis of the concepts of gas dynamics. The approach takes into account the influence of the geometry of the pneumatic valve on the gas flow through it. Particular attention is paid to the effect of the gas flow on the valve dynamics and its flow coefficient. Theoretical relationships for determining the parameters of the mathematical model of the pneumatic valve were obtained taking into account the compressed gas dynamics. To verify the theoretical results, ANSYS Fluent was used to simulate the gas flow. The results of the simulation are in good agreement with the theoretical study. It is shown that the compressed gas properties significantly influence the value of the flow coefficient.

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