Open AccessMathematical model of pressure distribution in the main gas-transport system
Author(s) -
Narine Pirumyan,
M. G. Stakyan
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/698/6/066022
Subject(s) - real gas , energy balance , mechanics , mathematical model , distribution (mathematics) , conservation of energy , conservation law , ideal gas law , basis (linear algebra) , mathematics , physics , thermodynamics , mathematical analysis , geometry , statistics
The issues of improving the methods for calculating pressures and material balance of the main gas-transport system based on the energy theory of gas flux-distribution are considered. The matrix method for determining the material balance equations for linearly independent and nonlinearly independent gas pipeline network contours was used as a mathematical model of the process to calculate the pressure distribution at the nodal points and gas flows. On the basis of the energy conservation law, a power balance equation for gas supply sources and its consumption distributed among the elements of the gas-transport network has been proposed. A mathematical model of the gas distribution process has been obtained.