Flow Characteristics of Bulb Tubular Turbine Based on Solid-liquid Two-phase Flow Model

Document Type : Regular Article

Authors

1 School of Energy and Power Engineering, Lanzhou University of Technology, Lanzhou, Gansu Province, 730050, China

2 Gansu Provincial Key Laboratory of Solar Power Generation Systems, Jiuquan Vocational and Technical College, Jiuquan, 735000, China

3 Huaneng (Gansu) New Energy Co., Ltd., Lanzhou, Gansu Province, 730070, China

10.47176/jafm.18.8.3320

Abstract

This study examines the operational efficiency of a bulb tubular turbine under solid-liquid two-phase (SLTP) flow conditions. By employing the Euler-Euler method, the characteristics of SLTP flow in the turbine with different solid particle diameters were analyzed. The research findings demonstrate that the increase in solid particle diameter from 0.01 mm to 0.15 mm decreases the maximum liquid phase velocity in the XY plane by approximately 0.26%. The introduction of solid particles results in increased likelihood of cavitation and vortices in the draft tube region, leading to diminished energy recovery efficiency in this area. Within the impeller domain, regions with high solid particle concentration are predominantly located on the blade front hub and inlet edge, while the blade's rear side exhibits an overall higher concentration. Further analysis reveals a positive correlation between blade velocity/concentration distribution and the diameter of solid particles. Furthermore, particle size has a significant impact on the solid phase trajectory and solid phase velocity in the draft tube area. Particles with larger diameters tend to move in more irregular and chaotic patterns, promoting the formation of vortices in the draft tube region. Notably, while the velocity of the solid phase at the draft tube inlet decreases with increasing particle size, the velocity fluctuations within the draft tube become more pronounced. Among the different flow components of the hydraulic turbine, the wear severity follows a descending order: the blade region experiences the highest wear, followed by the runner chamber, guide vane area, and draft tube region. Additionally, the diameter of the solid phase shows a positive correlation with both the wear area and the maximum wear rate in the runner chamber, blade region, and guide vane area, whereas it demonstrates a negative correlation with wear in the draft tube region.

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Brezovec, M., Kuzle, I., Krpan, M., & Holjevac, N. (2020). Improved dynamic model of a bulb turbine-generator for analyzing oscillations caused by mechanical torque disturbance on a runner blade. International Journal of Electrical Power & Energy Systems, 119, 105929. https://doi.org/10.1016/j.ijepes.2020.105929
Chen, L., Zhao, Z., Zhang, S., Zhang, S., & Sun, Y. (2019). Effect of particle shape on pipeline damage in liquid-solid two-phase flow. Journal of Physics: Conference Series, 1300(1), 012099. https://doi.org/10.1088/1742-6596/1300/1/012099
Choi, Y. D., & Son, S. W. (2012). CFD analysis on the performance and internal flow of a micro cross-flow hydro turbine in the range of very low specific speed. The KSFM Journal of Fluid Machinery, 15(6), 25–30. https://doi.org/10.5293/kfma.2012.15.6.025
Coulaud, M., Lemay, J., & Deschenes, C. (2020). Experimental study of a bulb turbine model during start-up and at speed-no-load conditions, based on the measurement of unsteady pressure. Journal of Fluids Engineering, 142(8), 081210. https://doi.org/10.1115/1.4047610
Dryden, H. L., Von Karman, T., & Adam, K. A. (2016). Fluid mechanics and statistical methods in engineering. University of Pennsylvania Press.
Fonkenell, J. (2003). Evolution de la technologie des turbines "bulbe" appliquée aux petites centrales. La Houille Blanche, 89(2), 27–31. https://doi.org/10.1051/lhb/2003027
Guénette, V., Houde, S., Ciocan, G. D., J Huang & C Deshenes, S. (2012). Numerical prediction of a bulb turbine performance hill chart through RANS simulations. IOP Conference Series: Earth and Environmental Science, 15(3), 032007. https://doi.org/10.1088/1755-1315/15/3/032007
Han, W., Chen, Y., Liu, Y., Li, G., Wang, T., Drain, J. (2018a). Numerical simulation of end surface erosion characteristics of a hydro-turbine guide vane. Journal of Drainage and Irrigation Machinery Engineering, 36, 404–412. https://doi.org/10.3969/j.issn.1674-8530.17.0188.
Han, W., Chen, Y., Liu, Y., Wei, S., Li, G., Jin, J. (2018b). Prediction of erosional shape evolution in end-surface clearance of turbine guide vane. Transactions of the Chinese Society of Agricultural Engineering, 34(4), 100–107. https://doi.org/10.11975/j.issn.1002-6819.2018.04.012
Kang, M. W., Park, N., & Suh, S. H. (2016). Numerical study on sediment erosion of Francis turbine with different operating conditions and sediment inflow rates. Procedia Engineering, 157, 457–464. https://doi.org/10.1016/j.proeng.2016.08.411
Lemay, S., Aeschlimann, V., Fraser, R., Ciocan, G. & Deschenes, C. (2015). Velocity field investigation inside a bulb turbine runner using endoscopic PIV measurements. Experiments in Fluids, 56, 1–12. https://doi.org/10.1007/s00348-015-1921-4
Li, W., Li, Z., Han, W., Li, Y., Yan, S.,Qin, Z., & Chen, F. (2023a). Measured viscosity characteristics of Fe₃O₄ ferrofluid in magnetic and thermal fields. Physics of Fluids, 35(1), 012002. https://doi.org/10.1063/5.012002
Li, W., Li, Z., Han, W., Tan, S., Yan, S., Wang, D., & Yang, S. (2023b). Time-mean equation and multi-field coupling numerical method for low-Reynolds-number turbulent flow in ferrofluid. Physics of Fluids, 35(12), 125145. https://doi.org/10.1063/5.0133121
Li, W., Li, Z., Han, W., Li, D., Yan, S., & Zhou, J. (2024). Study of the flow characteristics of pumped media in the confined morphology of a ferrofluid pump with annular microscale constraints. Journal of Fluids Engineering, 146, 1–31. https://doi.org/10.1115/1.4056341
Li, W., Li, Z., Qin, Z., Yan, S., Wang, Z., & Peng, S. (2022). Influence of the solution pH on the design of a hydro-mechanical magneto-hydraulic sealing device. Engineering Failure Analysis, 135, 106091. https://doi.org/10.1016/j.engfailanal.2022.106091
Li, Y., Zhuang, L., & Jiang, Z. (2022). Study of the two-phase flow and wear of a pump with mixed-size particles. Processes, 10(3), 565. https://doi.org/10.3390/pr10030565
Li, Z. G., Wang, B., Ma, B., Ou, C., Dong, G., Yang, F., & Li, Y. (2018). The simulation analysis and operation conditions optimization of low-head water bulb tubular turbine based on different guide vane outlet angles. IOP Conference Series: Earth and Environmental Science, 163(1), 012008. https://doi.org/10.1088/1755-1315/163/1/012008
Li, Z., Wang, Y., Li, T., Liu, F., & Ji, J. (2019). The dynamic characteristics of the ultimate strength of a turbine runner blade under hydraulic excitation. Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 41(24), 3127–3137. https://doi.org/10.1080/15567036.2018.1564262
Litvinov, I., Shtork, S., Gorelikov, E., Mitryakov, A., & Hanjalic, K. (2018). Unsteady regimes and pressure pulsations in the draft tube of a model hydro turbine in a range of off-design conditions. Experimental Thermal and Fluid Science, 91, 410–422. https://doi.org/10.1016/j.expthermflusci.2017.11.018
Pereira, Jr, J. G., Favrel, A., Andolfatto, L., Landry, C., Alligne, S.,Nicolet, C., & Avellan, F. (2019). Procedure for predicting part load resonance in Francis turbine hydropower units based on swirl number and local cavitation coefficient similitude. Mechanical Systems and Signal Processing, 132, 84–101. https://doi.org/10.1016/j.ymssp.2019.06.011
Thapa, B. S., Thapa, B., & Dahlhaug, O. G. (2012). Empirical modelling of sediment erosion in Francis turbines. Energy, 41(1), 386–391. https://doi.org/10.1016/j.energy.2011.07.024
Wilhelm, S., Balarac, G., Métais, O., & Segoufin, C. (2016). Head losses prediction and analysis in a bulb turbine draft tube under different operating conditions using unsteady simulations. IOP Conference Series: Earth and Environmental Science, 49(2), 022010. https://doi.org/10.1088/1755-1315/49/2/022010
Xie, G., Li, Q., Xin, L., & Li, Z. (2023). Analysis of solid-liquid two-phase flow in the area of rotor and tailpipe. Processes, 11(12), 3382. https://doi.org/10.3390/pr11123382
Yi, S., & Liu, X. (2013). Performance test on solid- liquid two-phase flow hydrotransport of a vortex pump. Transactions of the Chinese Society of Agricultural Engineering, 29(22), 76–82. https://10.3969/j.issn.1002-6819.2013.22.009
Zhao, Y., Liao, W., Li, Z., Yuan, H., & Luo, X. (2013). Flow field performance of a bulb turbine with C-type or S-type blades. Transactions of the Chinese Society of Agricultural Engineering, 29(17), 47–53. https://doi.org/10.3969/j.issn.1002-6819.2013.17.007