The basic calculation dependences determining the mathematical model of the steady-state mode of compressed air flow through pipelines for driving pneumatic mechanisms and devices at coal mines and mines are considered. Existing and applied methods of calculation of compressed air pipelines are based on use of empirical dependences and do not fully correspond to real processes arising during operation of pneumatic networks at underground enterprises. In this connection, in most cases, compressor stations operate with insufficient or excessive values of operating pressure and flow rate. An attempt has been made to model the process of compressed air movement through pipelines using differential equations of motion, continuity and internal energy taking into account thermodynamic parameters of compressed air state as a real gas.
