gas dynamics

Numerical modeling transient processes in a long gas pipeline

Unsteady processes of isothermal natural gas flow, emerging in a long pipeline when there is switching-over from one stationary process to another stationary process, have been considered in this paper.  The one-dimensional system of gas dynamics equations is used for that purpose.  It includes equations for conservation of mass and momentum written relative to of dimensionless mass and flow densities.  Three boundary-value problems formulated for this system define three models for control of the transient processes.  The problems differ by the boundary (control) functions imposed at the e

Mathematical modeling of a small pressure disturbance in gas flow of a long pipeline

A mathematical model for propagation of a small disturbance in the moving gas of a long pipeline has been built in the paper. The model contains two coupled equations, the coefficients of which are expressed via the parameters of the initial process --- mass density and mass flow rate.  In the frame of the model, the influence of parameters of the initial stationary gas flow on propagation of the pulses initiated by a local fluctuation, originated in the stream, was studied numerically.