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    Numerical study of wet-steam flow in Moore nozzles

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    https://www.riss.kr/link?id=A106373657

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    Wet-steam flow is a two-phase mixture of vapor and tiny liquid droplets that occurs in the final stages of low pressure (LP) steam turbine process. These liquid droplets are formed by the non-equilibrium condensation of steam. This condensation of steam releases a significant amount of latent heat to the flow. As a result, the flow velocity is reduced and it affects the efficiency of the steam turbine. Since it is extremely difficult to perform numerical studies with the non-equilibrium condensation for turbines, they are usually done in convergent-divergent nozzles. In this paper, the effect of area ratio of the well-known Moore nozzles on the non-equilibrium condensation of steam is investigated numerically. The mathematical model for the non-equilibrium condensation is based on the classical homogeneous nucleation theory corrected with non-isothermal effects and Hill’s droplet growth law. The numerical results are successfully validated with the experimental data for Moore nozzle B. The numerical results represent that with increasing area ratio, the intensity of condensation decreases and the residue amount of liquid mass fraction in the flow field increases. Therefore, while designing the area ratio of the nozzle, the influences of both the condensation intensity and liquid mass fraction should be considered.
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    Wet-steam flow is a two-phase mixture of vapor and tiny liquid droplets that occurs in the final stages of low pressure (LP) steam turbine process. These liquid droplets are formed by the non-equilibrium condensation of steam. This condensation of ste...

    Wet-steam flow is a two-phase mixture of vapor and tiny liquid droplets that occurs in the final stages of low pressure (LP) steam turbine process. These liquid droplets are formed by the non-equilibrium condensation of steam. This condensation of steam releases a significant amount of latent heat to the flow. As a result, the flow velocity is reduced and it affects the efficiency of the steam turbine. Since it is extremely difficult to perform numerical studies with the non-equilibrium condensation for turbines, they are usually done in convergent-divergent nozzles. In this paper, the effect of area ratio of the well-known Moore nozzles on the non-equilibrium condensation of steam is investigated numerically. The mathematical model for the non-equilibrium condensation is based on the classical homogeneous nucleation theory corrected with non-isothermal effects and Hill’s droplet growth law. The numerical results are successfully validated with the experimental data for Moore nozzle B. The numerical results represent that with increasing area ratio, the intensity of condensation decreases and the residue amount of liquid mass fraction in the flow field increases. Therefore, while designing the area ratio of the nozzle, the influences of both the condensation intensity and liquid mass fraction should be considered.

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    참고문헌 (Reference)

    1 D. A. Simpson, "Viscous and unsteady flow calculations of condensing steam in nozzles" 26 (26): 71-79, 2005

    2 A. G. Gerber, "Two-phase Eulerian/Lagrangian model for nucleating steam flow" 124 (124): 465-475, 2002

    3 J. B. Young, "Two-dimensional, nonequilibrium, wet-steam calculations for nozzles and turbine cascades" 114 (114): 569-579, 1992

    4 Z. Rusak, "Transonic flow of moist air around a thin airfoil with non-equilibrium and homogeneous condensation" 403 : 173-199, 2000

    5 J. Starzmann, "Results of the international wet steam modeling project" 232 (232): 550-570, 2018

    6 M. J. Moore, "Predicting the fog drop size in wet steam turbines" 4 : 101-109, 1973

    7 C. A. Moses, "On the growth of steam droplets formed in a Laval nozzle using both static pressure and light scattering measurements" 100 (100): 311-322, 1978

    8 Jabir Edathol, "Numerical estimation of non-equilibrium condensation of steam in supersonic nozzles" 대한기계학회 32 (32): 4649-4655, 2018

    9 C. H. Kim, "Numerical analysis of non-equilibrium steam condensing flows in various Laval nozzles and cascades" 11 (11): 172-183, 2017

    10 P. P. Wegener, "Nonequilibrium flow with condensation" 21 (21): 65-91, 1975

    1 D. A. Simpson, "Viscous and unsteady flow calculations of condensing steam in nozzles" 26 (26): 71-79, 2005

    2 A. G. Gerber, "Two-phase Eulerian/Lagrangian model for nucleating steam flow" 124 (124): 465-475, 2002

    3 J. B. Young, "Two-dimensional, nonequilibrium, wet-steam calculations for nozzles and turbine cascades" 114 (114): 569-579, 1992

    4 Z. Rusak, "Transonic flow of moist air around a thin airfoil with non-equilibrium and homogeneous condensation" 403 : 173-199, 2000

    5 J. Starzmann, "Results of the international wet steam modeling project" 232 (232): 550-570, 2018

    6 M. J. Moore, "Predicting the fog drop size in wet steam turbines" 4 : 101-109, 1973

    7 C. A. Moses, "On the growth of steam droplets formed in a Laval nozzle using both static pressure and light scattering measurements" 100 (100): 311-322, 1978

    8 Jabir Edathol, "Numerical estimation of non-equilibrium condensation of steam in supersonic nozzles" 대한기계학회 32 (32): 4649-4655, 2018

    9 C. H. Kim, "Numerical analysis of non-equilibrium steam condensing flows in various Laval nozzles and cascades" 11 (11): 172-183, 2017

    10 P. P. Wegener, "Nonequilibrium flow with condensation" 21 (21): 65-91, 1975

    11 K. Oswatitsch, "Kondensationserscheinungen in Überschalldüsen" 22 : 1-14, 1942

    12 P. G. Hill, "Condensation of water vapour during supersonic expansion in nozzles" 25 (25): 593-620, 1966

    13 P. P. Wegener, "Condensation in supersonic and hypersonic wind tunnels" 5 : 307-447, 1958

    14 Y. Yang, "CFD modeling of condensation process of water vapor in supersonic flows" 115 : 1357-1362, 2017

    15 J. B. Young, "An equation of state for steam for turbomachinery and other flow calculations" 110 (110): 1-7, 1988

    16 A. G. Gerber, "A pressure based Eulerian-Eulerian multi-phase model for non-equilibrium condensation in transonic steam flow" 47 (47): 2217-2231, 2004

    17 G. H. Schnerr, "2-D transonic flow with energy supply by homogeneous condensation : Onset condition and 2-D structure of steady Laval nozzle flow" 7 (7): 145-156, 1988

    18 Fluent, Ansys, "18.2 Theory Guide"

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