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Numeric simulation of wet-steam two-phase condensing flow in a steam turbine cascade

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Abstract

Research on the wet-steam condensing flow problem is important for improving steam turbine efficiency. This paper derived a total variation diminishing (TVD) discrete method for a two-dimensional curvilinear coordinate system, which discretizes a control equation via a difference scheme that can accurately describe the transonic flow of compressible gas and capture abrupt parameter changes. This method can be applied to improve the shock wave capture accuracy in a cascade passage. A Cascade in White test is chosen as the study object to obtain test data to verify the accuracy of the proposed model. The calculation results indicate that the condensation process has a significant impact on the local flow parameters and that the distribution gradient of the parameters for the liquid phase is relatively large in the condensation position. The degree of subcooling of wet steam is the primary factor that influences the parameter distribution for the liquid phase in the main flow.

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Abbreviations

a 0 :

Surface area of an individual gas molecule, m2

E :

Energy density, kJ m−3

g :

Total number of molecular aggregations

h t :

Steam enthalpy, kJ kg−1

h fg :

Latent heat of vaporization, kJ kg-1

J :

Nucleation rate per unit volume, (m3 s)−1

K n :

Knudsen number

m :

Mass of a single molecule, kg

\( \dot{m} \) :

Mass of a micro control element

Ma:

Mach number

N :

Number of water droplets per unit mass

P rg :

Prandtl number

p :

Steam pressure, Pa

q c :

Condensation coefficient

R :

Ideal gas constant, J (mol K)−1

r :

Droplet radius, m

S :

Degree of supersaturation, K

T :

Temperature, K

∆T :

Degree of super-cooling, K

u :

Axial velocity, m s−1

v :

Radial velocity, m s−1

y :

Wetness

α1 :

Outlet flow angles

γ:

Heat capacity ratio of steam

σ :

Droplet surface tension, N·m−1

θ:

Non-dimensional surface tension

λg :

Thermal conductivity of steam, W (m K)−1

ν:

Semiempirical correction factor of water droplet growth rate

ρ:

Density, kg m−3

τ:

Microcontrol element

C :

Critical radius of a water droplet

G :

Gas-phase parameters

L :

Liquid-phase parameters

S :

Saturation state

Het:

Heterogeneous condensing flow

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Acknowledgments

Thanks are due to the support by the National Natural Science Foundation of China (Grant No. 51306059) and the support by the Fundamental Research Funds for the Central Universities of China (Grant No. 2016XS106).

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Authors and Affiliations

  1. Key Lab of Condition Monitoring and Control for Power Plant Equipment, North China Electric Power University, Ministry of Education, Baoding, 071003, China

    Zhonghe Han, Xu Han & Zhi Wang

  2. NCEPU, School of Energy Power and Mechanical Engineering, Baoding, 071003, China

    Xu Han

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  1. Zhonghe Han
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Correspondence to Xu Han.

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Technical Editor: Jose A. dos Reis Parise.

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Han, Z., Han, X. & Wang, Z. Numeric simulation of wet-steam two-phase condensing flow in a steam turbine cascade. J Braz. Soc. Mech. Sci. Eng. 39, 1189–1199 (2017). https://doi.org/10.1007/s40430-016-0655-y

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  • DOI: https://doi.org/10.1007/s40430-016-0655-y

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