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Optimization of the Trailing Edge Inclination of Wet Steam Turbine Stator Blade Towards the Losses Reduction

  • S.I.: Computations & Experiments on Dynamics of Complex Fluid & Structure
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Abstract

Thermodynamic losses and blade erosion occur due to formation of wetness in the low-pressure steam turbine. By changing the trailing edge angle of turbine blade can reduce blade erosion and condensation losses. This research optimized the best of the trailing edge rotation to improve the turbine's operation at the low-pressure part of the steam turbines (thermodynamic losses and blade erosion) as passive method. In this paper, the integral of the number of droplets per volume (IND), the integral of the droplet average radius (IDR), the integral of wetness fraction (IWF), the integral of local entropy (ILE), and the integral of dynamic pressure (IDP) were considered as goals of optimization. The results introduce an optimal case (θ =  − 0.84o counterclockwise) while improved IDR by 0.276%, increased IND by 0.0389%, improved IWF by 0.207%, reduced IDP by 0.054%, and increased ILE by 0.0074%. In addition, this optimization caused the erosion rate to be improved by 2.33% and the condensation losses to be decreased by 0.39%.

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Abbreviations

A:

Area (m2)

IWF:

Integral of wetness fraction (-)

ILE:

Integral of local entropy (\(\frac{J}{kg K}\))

IDP:

Integral of dynamic pressure (\(\frac{kg}{m {s}^{2}}\))

IDR:

Integral of droplet average radius fraction (\(\mu m\))

IND:

Integral of number of droplets per volume (\({m}^{-2}\))

L:

Total length of blade geometry (m)

Ma:

Mach number (-)

P:

Pressure (Pa)

r:

Droplet radius (μm)

\(\overline{r }\) :

Droplet average radius (m)

T:

Temperature (K)

u:

Velocity (m/s)

X:

Length parameter of blade geometry (m

α:

Angle of second position (o)

β:

Angle of first position (o)

Γ:

Liquid mass fraction (kg/m3 s)

η:

Number of droplets per volume (1/m2)

θ:

Trailing edge rotation of blade (o

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Acknowledgements

The author thanks Prof. Ali Hashemian (BCAM – Basque Center for Applied Mathematics, Bilbao, Basque Country, Spain) for helpful discussions.

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Authors and Affiliations

  1. Center of Computational Energy, Department of Mechanical Engineering, Hakim Sabzevari University, Sabzevar, Iran

    D. Hoseinzade & E. Lakzian

  2. Department of Power Engineering and Turbomachinery, Silesian University of Technology (SUT), 44-100, Gliwice, Poland

    S. Dykas

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  1. D. Hoseinzade
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Correspondence to E. Lakzian.

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Hoseinzade, D., Lakzian, E. & Dykas, S. Optimization of the Trailing Edge Inclination of Wet Steam Turbine Stator Blade Towards the Losses Reduction. Exp Tech 47, 269–279 (2023). https://doi.org/10.1007/s40799-021-00534-5

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