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Thermophysical properties of pure gases and mixtures at temperatures of 300–30000 K and atmospheric pressure: thermodynamic properties and solution of equilibrium compositions

The equilibrium compositions and thermodynamic properties (density, enthalpy, etc at constant pressure) of pure gases and mixtures plasma under local thermodynamic nonequilibrium have been calculated in this paper. The Homotopy Levenberg-Marquardt Algorithm (HLMA) was proposed to accurately solve nonlinear equations with singular Jacobian matrices ,which is constructed by SAHA equation and Guldberg-Waage equation combined with mass conservation, electric neutrality principle and Dalton's partial pressure law, to solve the problem of dependence on the initial value in the process of iteration calculation. In this research, the equations at a higher temperature were solved and used as the auxiliary equations, the homotopy control parameters sequence of the homotopy equations were selected by equal ratios. For auxiliary equations, the iterative initial value was obtained by assuming that there were only the highest valence atomic cations and electron at this temperature, the plasma equilibrium composition distribution with the required accuracy was ultimately solved under the current conditions employing the Levenberg-Marquardt algorithm. The control parameter sequence was arranged according to the geometric sequence and the homotopy step was gradually shorten to ensure the continuity of the homotopy process. Finally, the equilibrium composition and thermodynamic properties of pure N2, Mg30%-CO270% and Mg40%-CO50%-N210% mixtures plasma at atmospheric pressure are calculated and the calculation process of some specified temperatures is shown and analyzed. Compared with the literature, the calculation accuracy of equilibrium composition is higher than others. Results for thermodynamic properties are in good agreement with data reported by literature.