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Numerical Analysis and Applications

2017 year, number 3

The choice of the equation of state in mathematical models of pipeline transportation of natural gas

E.A. Bondarev1, A.F. Voevodin2, K.K. Argunova1, I.I. Rozhin1
1Institute of Oil and Gas Problems of Siberian Branch of Russian Academy of Sciences, Oktyabrskaya, 1, Yakutsk, Russia, 677980
2Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, Lavrentiev st., 15, Novosibirsk, 630090
Keywords: уравнение состояния, природный газ, гиперболические уравнения, equation of state, natural gas, hyperbolic equations

Abstract

By comparison with reliable experimental data in a wide range of pressure and temperature, it has been shown that the Redlich-Kwong equation of state appropriately reflects all the characteristics of the coefficient of compressibility, the throttling factor and the normalized difference of specific isobaric and isochoric heat capacities. It has been found that this equation corresponds to the inequalities required to ensure a set of equations of gas flow in pipelines to be hyperbolic.