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Numerical solution of steam flow in a nozzle using different non-equilibrium condensation models

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  • Halama, Jan
  • Hric, Vladimír

Abstract

The paper presents three Eulerian models for the two-phase flow of a steam with a non-equilibrium condensation due to the rapid expansion. All models are based on the transport equations for the mass, momentum and total energy of the mixture. The models differ in the number of additional transport equations for the parameters of liquid phase. The models with two and four additional transport equations take into account homogeneous nucleation and growth of existing droplets. The last model with no additional transport equation is based on a “switch” from metastable to equilibrium state, i.e. a “switch” from zero to equilibrium wetness. Although this last model omits the droplet size, it can be particularly interesting for the simplified flow simulations in the first steps of steam turbine design (e.g. simulations of the circumferentially averaged flow in a meridional plane of several turbine stages). Presented numerical results of one- and two-dimensional flows in a convergent–divergent nozzle have been obtained using in-house codes based on the symmetrical operator splitting with a finite volume method used for the convection and a Runge–Kutta method used for time integration of source terms. The result discussion covers the comparison of three presented models in terms of Mach number, pressure and wetness prediction. It further covers the influence of grid density on the prediction of nucleation zone as well as a new thermodynamic closure alternative to the IAPWS-95 formulation.

Suggested Citation

  • Halama, Jan & Hric, Vladimír, 2016. "Numerical solution of steam flow in a nozzle using different non-equilibrium condensation models," Applied Mathematics and Computation, Elsevier, vol. 272(P3), pages 657-669.
  • Handle: RePEc:eee:apmaco:v:272:y:2016:i:p3:p:657-669
    DOI: 10.1016/j.amc.2015.05.067
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    References listed on IDEAS

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    1. Fürst, Jiří & Fořt, Jaroslav & Halama, Jan & Holman, Jiří & Karel, Jan & Prokop, Vladimír & Trdlička, David, 2015. "Numerical simulation of circumferentially averaged flow in a turbine," Applied Mathematics and Computation, Elsevier, vol. 267(C), pages 498-505.
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    Citations

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    Cited by:

    1. Bian, Jiang & Cao, Xuewen & Yang, Wen & Edem, Mawugbe Ayivi & Yin, Pengbo & Jiang, Wenming, 2018. "Supersonic liquefaction properties of natural gas in the Laval nozzle," Energy, Elsevier, vol. 159(C), pages 706-715.
    2. Chen, Jianan & Li, Anna & Huang, Zhu & Jiang, Wenming & Xi, Guang, 2023. "Non-equilibrium condensation in flue gas and migration trajectory of CO2 droplets in a supersonic separator," Energy, Elsevier, vol. 276(C).
    3. Halama, Jan & Hric, Vladimír & Pátý, Marek, 2018. "Numerical solution of transonic flow of steam with non-equilibrium phase change using typical and simplified method," Applied Mathematics and Computation, Elsevier, vol. 319(C), pages 499-509.
    4. Bian, Jiang & Cao, Xuewen & Yang, Wen & Song, Xiaodan & Xiang, Chengcheng & Gao, Song, 2019. "Condensation characteristics of natural gas in the supersonic liquefaction process," Energy, Elsevier, vol. 168(C), pages 99-110.
    5. Chen, Jianan & Huang, Zhu & Li, Anna & Gao, Ran & Jiang, Wenming, 2022. "Carbon capture in laval nozzles with different bicubic parametric curves and translation of witoszynski curves," Energy, Elsevier, vol. 260(C).
    6. Chen, Jianan & Huang, Zhu, 2022. "Spontaneous condensation of carbon dioxide in flue gas at supersonic state," Energy, Elsevier, vol. 254(PC).
    7. Xueyuan Long & Qian Huang & Yuan Tian & Lingyan Mu, 2022. "Effects of the Operating Parameters of Supersonic Separators on the Supersonic Liquefaction Characteristics of Natural Gas," Energies, MDPI, vol. 15(7), pages 1-16, March.
    8. Zou, Aihong & Zeng, Yupei & Luo, Ercang, 2023. "New generation hydrogen liquefaction technology by transonic two-phase expander," Energy, Elsevier, vol. 272(C).
    9. Ahmadpour, A. & Noori Rahim Abadi, S.M.A. & Meyer, J.P., 2017. "On the performance enhancement of thermo-compressor and steam turbine blade cascade in the presence of spontaneous nucleation," Energy, Elsevier, vol. 119(C), pages 675-693.

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