«Automation and Informatization of the fuel and energy complex»

Interpolation of gas-liquid multicomponent fluid properties for hydraulic calculations of pipelines

UDC: 519.65
DOI: -

Authors:

¹ Piping Systems Research & Engineering Co (NTP Truboprovod), Moscow, Russia

Keywords: bi-cubic spline interpolation, spline, makima, thermodynamic library, interpolation nodes, optimization of calculations, two-phase and single-phase areas, thermal physical properties, phase equilibrium

Annotation:

The article proposes the use of bi-cubic spline interpolation to optimize hydraulic and thermal calculations while processing thermodynamic library data. The research was carried out both in the single-phase gas and liquid areas as well as in the two-phase gas-liquid area. The accuracy of bi-cubic spline interpolation was tested for various thermodynamic libraries on multi-component mixtures. Various coordinate systems (P, x), (P, T), (P, H), (P, S) were tested, optimal coordinates and interpolation grids were selected based on the nature of changes of various thermal-physical properties. The experiments were conducted in the range of up to 80 % of critical pressure, since in the near-critical area the properties behavior changes sharply. The plots of properties and their absolute and relative errors were also produced for a more detailed study and determination of problem areas where property functions undergo sharp changes that make interpolation difficult. The results obtained demonstrate an acceptable level of accuracy of the approximation of the thermodynamic libraries data, required for engineering calculations.

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