Математична модель нестаціонарних режимів на лінійній ділянці газогону

Abstract

This paper presents a mathematical model of non-stationary gas flow regimes along a linear section of a gas pipeline consisting of three segments with different diameters. The model accounts for the Joule-Thomson effect and variable pipe geometry. Boundary conditions specify pressure and temperature at the inlet and mass flow rate at the outlet. The proposed approach allows for accurate simulation of transient processes in complex pipeline configurations. The model is formulated as a quasilinear hyperbolic system for mass flow rate, pressure, and temperature, coupled through thermodynamic relations for real gas. Continuity conditions at diameter-change interfaces ensure physically consistent matching of flow parameters across segments