The solution for the problem of calculating a gas pipeline

This scientific article examines the problem of calculating an elementary section of a gas pipeline operating in a periodic mode, with mass flow at the inlet and pressure at the outlet. The relationship between changes in gas mass flow in the receiver and pipeline according to boundary conditions has been developed; the receiver is installed at the entrance to the pipeline. When modeling the system under study, we use linearized quasione-dimensional equations of state of real gas in a gas pipeline. In the works of I.A. Charny, a similar condition was constructed, but at the outlet of the gas pipeline, and the problem itself was formulated in relation to pressure. In our case, the problem will be formulated with respect to mass flow. For the problem under consideration, a system of equations regarding gas mass flow was used. The solution to the problem is sought in the form of a sum of stationary and periodic parts. Thus, a solution to the problem of propagation of a unit amplitude of the input disturbance of the gas mass flow rate relative to the mass flow rate has been obtained.