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Application of enstrophy dissipation to analyze energy loss in a centrifugal pump as turbine

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  • Lin, Tong
  • Li, Xiaojun
  • Zhu, Zuchao
  • Xie, Jing
  • Li, Yi
  • Yang, Hui

Abstract

Pump as turbine (PAT) is a type of energy recovery equipment. However, the mechanism of performance degradation when it deviates from the design working condition is inadequately reported. Hence, the steady performance of a centrifugal PAT with a design specific speed (nsd=3.65ndQd∕Hd0.75) of 90 was simulated by ANSYS-CFX 18.0. The shear stress transport (SST) k-ω turbulence model was used to close the Reynolds-averaged Navier–Stokes (RANS) equations and the simulation results of performance were verified by comparing the experimental. To explore the energy loss mechanism of the PAT under different flow conditions, the energy loss of each part of PAT was calculated by the enstrophy dissipation method, which not only accurately calculate the energy loss but also diagnose where and how hydraulic loss occurs. Compared with the traditional pressure drop assessment method, the enstrophy dissipation method has higher prediction accuracy for the rotating domain, almost the same prediction accuracy in the static domain. The energy loss of the PAT mainly occurs in the cavity, volute and impeller. Hydraulic loss is dominated by fluctuating enstrophy dissipation power and wall enstrophy dissipation power. Adverse flow phenomena such as backflow and shock flow could evidently increase the volume and wall enstrophy dissipation rates. Therefore, the proposed method can be used intuitively to provide a reference for PAT performance optimization and actual operation regulation.

Suggested Citation

  • Lin, Tong & Li, Xiaojun & Zhu, Zuchao & Xie, Jing & Li, Yi & Yang, Hui, 2021. "Application of enstrophy dissipation to analyze energy loss in a centrifugal pump as turbine," Renewable Energy, Elsevier, vol. 163(C), pages 41-55.
  • Handle: RePEc:eee:renene:v:163:y:2021:i:c:p:41-55
    DOI: 10.1016/j.renene.2020.08.109
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    References listed on IDEAS

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    2. Qi, Bing & Zhang, Desheng & Geng, Linlin & Zhao, Ruijie & van Esch, Bart P.M., 2022. "Numerical and experimental investigations on inflow loss in the energy recovery turbines with back-curved and front-curved impeller based on the entropy generation theory," Energy, Elsevier, vol. 239(PE).
    3. Tang, Qinghong & Yu, An & Wang, Yongshuai & Tang, Yibo & Wang, Yifu, 2023. "Numerical analysis of vorticity transport and energy dissipation of inner-blade vortex in Francis turbine," Renewable Energy, Elsevier, vol. 203(C), pages 634-648.
    4. Chen, Weisheng & Li, Yaojun & Liu, Zhuqing & Hong, Yiping, 2023. "Understanding of energy conversion and losses in a centrifugal pump impeller," Energy, Elsevier, vol. 263(PB).
    5. Maxime Binama & Kan Kan & Hui-Xiang Chen & Yuan Zheng & Da-Qing Zhou & Wen-Tao Su & Xin-Feng Ge & Janvier Ndayizigiye, 2021. "A Numerical Investigation into the PAT Hydrodynamic Response to Impeller Rotational Speed Variation," Sustainability, MDPI, vol. 13(14), pages 1-22, July.
    6. Zhou, Ling & Hang, Jianwei & Bai, Ling & Krzemianowski, Zbigniew & El-Emam, Mahmoud A. & Yasser, Eman & Agarwal, Ramesh, 2022. "Application of entropy production theory for energy losses and other investigation in pumps and turbines: A review," Applied Energy, Elsevier, vol. 318(C).
    7. Tong Lin & Jian Li & Baofei Xie & Jianrong Zhang & Zuchao Zhu & Hui Yang & Xiaoming Wen, 2022. "Vortex-Pressure Fluctuation Interaction in the Outlet Duct of Centrifugal Pump as Turbines (PATs)," Sustainability, MDPI, vol. 14(22), pages 1-19, November.
    8. Lu, Zhaoheng & Tao, Ran & Yao, Zhifeng & Liu, Weichao & Xiao, Ruofu, 2022. "Effects of guide vane shape on the performances of pump-turbine: A comparative study in energy storage and power generation," Renewable Energy, Elsevier, vol. 197(C), pages 268-287.
    9. Lin, Tong & Zhang, Jiajing & Wei, Bisheng & Zhu, Zuchao & Li, Xiaojun, 2024. "The role of bionic tubercle leading-edge in a centrifugal pump as turbines(PATs)," Renewable Energy, Elsevier, vol. 222(C).
    10. Qi, Bing & Bai, Xiaobang & Li, Yibin & Wang, Xiaohui & Zhang, Xiaoze & Zhang, Desheng, 2024. "Research on the influence mechanism of internal flow characteristics on energy conversion in radial energy recovery turbines under multiple conditions," Energy, Elsevier, vol. 296(C).
    11. Yu, An & Tang, Yibo & Tang, Qinghong & Cai, Jianguo & Zhao, Lei & Ge, Xinfeng, 2022. "Energy analysis of Francis turbine for various mass flow rate conditions based on entropy production theory," Renewable Energy, Elsevier, vol. 183(C), pages 447-458.
    12. Wang, Tao & Yu, He & Xiang, Ru & Chen, XiaoMing & Zhang, Xiang, 2023. "Performance and unsteady flow characteristic of forward-curved impeller with different blade inlet swept angles in a pump as turbine," Energy, Elsevier, vol. 282(C).
    13. Wang, Tao & Liu, Yunqi & Dong, Yuancheng & Xiang, Ru & Bai, Yuxing, 2024. "The influence of the middle bending shape of the blade on the performance of a pump as turbine," Energy, Elsevier, vol. 295(C).
    14. Maxime Binama & Kan Kan & Huixiang Chen & Yuan Zheng & Daqing Zhou & Alexis Muhirwa & Godfrey M. Bwimba, 2021. "Investigation into Pump Mode Flow Dynamics for a Mixed Flow PAT with Adjustable Runner Blades," Energies, MDPI, vol. 14(9), pages 1-28, May.

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