Modeling of the stages of verification of the suitability of a short section of a gas pipeline tooperation

I. Q. Khujaev ; S. S. Akhmadjonov ; M. K. Mahkamov

Matematičeskoe modelirovanie, Tome 34 (2022) no. 5, pp. 27-45

Résumé

When modeling the processes of gas injection into an elementary section and gas outflow into infinite space, quasi-one-dimensional equations of pipeline gas transport are used in the approximation of a short pipeline, when the gas pressure gradient is formed only under the influence of the local component of the gas inertia force, and N.E. Zhukowsky equation on the gas outflow rate. The equations for the conservation of momentum and mass are linearized with the introduction of the gas mass flow rate, and the first boundary condition is presented as a linear dependence on the sought functions. The solution area is divided into rectangles with the dimensions of the section length and the conditional period of the problem, which corresponds to the time of the excitation travel over the entire length of the section. For the first conditional period, the formulas for calculating the pressure and gas mass flow rate were obtained by the method of characteristics. The ways of using these formulas to obtain a solution for the subsequent conditional periods were shown. Some discontinuous results of calculations for pressure, mass flow rate and gas flow rate are presented.

Détail

Keywords: hyperbolic system of equations, method of characteristics, pressure, mass flow rate, velocity, conditional period, laws of pressure drop and increase.