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Development of real gas model operating in gas turbine system in Python programming environment

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Identification of working fluids and development of their mathematical models should always precede construction of a proper model of the analysed thermodynamic system. This paper presents method of development of a mathematical model of working fluids in a gas turbine system and its implementation in Python programming environment. Among the thermodynamic parameters of the quantitative analysis of systems, the following were selected: specific volume, specific isobaric and isochoric heat capacity and their ratio, specific enthalpy and specific entropy. The development of the model began with implementation of dependencies describing the semi-ideal gas. The model was then extended to the real gas model using correction factors reflecting the impact of pressure. The real gas equations of state were chosen, namely due to Redlich–Kwong, Peng–Robinson, Soave– Redlich–Kwong, and Lee–Kesler. All the correction functions were derived analytically from the mentioned equations of real gas behaviour. The philosophy of construction of computational algorithms was presented and relevant calculation and numerical algorithms were discussed. Created software allowed to obtain results which were analysed and partially validated.
Rocznik
Strony
23--61
Opis fizyczny
Bibliogr. 24 poz., rys., tab., wz.
Twórcy
  • Warsaw University of Technology, Institute of Heat Engineering, Nowowiejska 21/25, 00-665, Warsaw, Poland
Bibliografia
  • [1] Chmielniak T.: Problems of Turbomachinery: working fluids. Vapour and gas thermodynamic cycles. Skrypty Uczelniane Politechniki Ślaskiej 695, Silesian University of Technology, Gliwice 1977 (in Polish).
  • [2] Badyda K., Miller A.: Gas turbines and systems of their utilisation for power engineering. Kaprint, Lublin 2014 (in Polish).
  • [3] Wark K.: Thermodynamics. MacGraw-Hill Book Comp., New York 1988.
  • [4] https://www.aspentech.com/en/products/engineering/aspen-hysys/ (accessed on: 27 Nov. .2020).
  • [5] http://www.wyattllc.com/GateCycle/GateCycle.html (accessed on: 27 Nov. 2020).
  • [6] Zuming L., Iftekhar A. K.: Simulating combined cycle gas turbine power plants in Aspen HYSYS. Energ. Convers. Manage. 171(2018), 1213–1225.
  • [7] Trawiński P.: Development and implementation of mathematical models of working mediums for gas part of combined cycle gas turbine system in Python programming environment. E3S Web Conf., XIV Research & Development in Power Engineering (RDPE 2019), 137(2019).
  • [8] Sado J.: One- dimensional real gas flow. Bull. Heat Technol. Inst. Warsaw University of Technology 86(1999), 3–37 (in Polish).
  • [9] Nederstiggt P.: Real gas thermodynamics and the isentropic behaviour of substances. Delft University of Technology, 2017.
  • [10] Mak P.: Thermodynamic properties from cubic equations of state. University of British Columbia Library, Vancouver 1988.
  • [11] https://docs.python.org/3/ (accessed on: 27 Nov. 2020).
  • [12] https://octoverse.github.com/ (accessed on: 27 Apr. 2020).
  • [13] Staniszewski B.: Termodynamics. PWN, Warsaw 1989 (in Polish).
  • [14] Poling B., Prausnitz J., O’Connell J.: The Properties of Gases and Liquids. McGrawHill, Boston 2007.
  • [15] Chhabra R. (Ed.): CRC Handbook of Thermal Engineering (2nd Edn.). CRC/Taylor&Francis, Boca Raton; London; New York 2018.
  • [16] Redlich O., Kwong J.: On the thermodynamics of solutions. V. An equation of state. Fugacities of gaseous solutions. Chem. Rev. 44(1949), 1, 233–244.
  • [17] Soave G.: Equilibrium constants from a modified Redlich–Kwong equation of state. Chem. Eng. Sci. 27(1972), 1197–1203.
  • [18] Peng D., Robinson D.: A new two-constant equation of state. Ind. Eng. Chem. Fund. 15(1976), 59–64.
  • [19] Lee B., Kesler M.: A generalized thermodynamic correlation based on three-parameter corresponding states. AIChE J. 21(1975), 510–527.
  • [20] Łukaszewicz J., Warmus M.: Numerical and graphical methods. Part 1. Warsaw University of Technology, Warszawa 2010 (in Polish).
  • [21] Fortuna Z.: Numerical methods. PWN, Warszawa 2017 (in Polish).
  • [22] IAPWS, Revised Release on the IAPWS Industrial Formulation 1997 for the Thermodynamic Properties of Water and Steam. The International Association for the Properties of Water and Steam, Lucerne 2007.
  • [23] Litke B.: Properties of ideal and sem-ideal gases. Problems of Fundamental Sciences 4(2016), 95–106 (in Polish).
  • [24] Vargaftik N.: Handbook of Physical Properties of Liquids and Gases. Science, Moscow 1972 (in Russian).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-6a882a2f-ab8e-485f-8864-d2ec38dd0826
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