Abstract
Mixed-flow pumps have been widely used in water jet propulsion field. To ensure reliability and operation efficiency, it is necessary to investigate the characteristics of hydraulic excitation force during transient operations. In this paper, the radial force of a water jet mixed-flow pump during rapid startup period was investigated numerically based on improved delayed detached eddy simulation (IDDES) and siding mesh method, the external characteristics were verified by test results. The spatial-temporal evolution of radial force was analyzed. The radial force during rapid startup presents transient and delay phenomenon, which shows disparity compared with quasi-steady state. The flow analysis and blade strip analysis show inlet recirculation significantly affects the radial force’s evolution, the radial force is quite different from blade root to tip and the blade tip contributes most to the radial force delay phenomenon. By applying boundary vorticity flux (BVF) theory and separation vortex formation diagnosis, separation regions caused by the dissipation of inlet recirculation were effectively identified and the change trend is in line with the change of radial force, which explains how inlet recirculation results the delay of radial force on blade tip strip and the whole impeller blade.
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Abbreviations
- n :
-
Rotational speed
- Q d :
-
Design flow rate
- H d :
-
Design head
- δ :
-
Shroud tip clearance
- d 1 :
-
Impeller suction diameter
- d 2 :
-
Mean diameter of impeller outlet
- b 2 :
-
Width of impeller outlet
- ρ :
-
Water density
- F r :
-
Radial force
- u 2 :
-
Outlet velocity of impeller
- σ :
-
Boundary vorticity flux
- ω :
-
Vorticity
- T sf :
-
Skin-friction
References
H. Fangfang, W. Peng, W. Dazhuan and W. Leqin, Numerical study on the stall behavior of a water jet mixed-flow pump, Journal of Marine Science and Technology, 19 (4) (2014) 438–449.
B. P. M. van Esch, Performance and radial loading of a mixed-flow pump under non-uniform suction flow, Journal of Fluids Engineering, 131 (5) (2009).
H. Tsukamoto and H. Ohashi, Transient characteristics of a centrifugal pump during starting period, Journal of Fluids Engineering, 104 (1) (1982) 6–13.
H. Tsukamoto, S. Matsunaga, H. Yoneda and S. Hata, Transient characteristics of a centrifugal pump during stopping period, Journal of Fluids Engineering, 108 (4) (1986) 392–399.
P. J. Lefebvre and W. P. Barker, Centrifugal pump performance during transient operation, Journal of Fluids Engineering, 117 (1) (1995) 123–128.
T. Tanaka and H. Tsukamoto, Transient behavior of a cavitating centrifugal pump at rapid change in operating conditions— part 2: transient phenomena at pump startup/shutdown, Journal of Fluids Engineering, 121 (4) (1999) 850–856.
T. Tanaka and H. Tsukamoto, Transient behavior of a cavitating centrifugal pump at rapid change in operating conditions— part 3: classifications of transient phenomena, Journal of Fluids Engineering, 121 (4) (1999) 857–865.
T. Tanaka and H. Tsukamoto, Transient behavior of a cavitating centrifugal pump at rapid change in operating conditions— part 1: transient phenomena at opening/closure of discharge valve, Journal of Fluids Engineering, 121 (4) (1999) 841–849.
A. Dazin, G. Caignaert and G. Bois, Transient behavior of turbomachineries: applications to radial flow pump startups, Journal of Fluids Engineering, 129 (11) (2007) 1436–1444.
I. Chalghoum, S. Elaoud, M. Akrout and E. H. Taieb, Transient behavior of a centrifugal pump during starting period, Applied Acoustics, 109 (2016) 82–89.
Z. Li, D. Wu, L. Wang and B. Huang, Numerical simulation of the transient flow in a centrifugal pump during starting period, Journal of Fluids Engineering, 132 (8) (2010) 081102.
J. Liu, Z. Li, L. Wang and L. Jiao, Numerical simulation of the transient flow in a radial flow pump during stopping period, Journal of Fluids Engineering, 133 (11) (2011) 111101.
Z. Li, P. Wu, D. Wu and L. Wang, Experimental and numerical study of transient flow in a centrifugal pump during startup, Journal of Mechanical Science and Technology, 25 (3) (2011) 749–757.
D. Wu, P. Wu, Z. Li and L. Wang, The transient flow in a centrifugal pump during the discharge valve rapid opening process, Nuclear Engineering and Design, 240 (12) (2010) 4061–4068.
Y.-L. Zhang, Y. Li, Z. Zhu and B. Cui, Computational analysis of centrifugal pump delivering solid-liquid two-phase flow during startup period, Chinese Journal of Mechanical Engineering, 27 (2014) 178–185.
Q. Li, X. Ma, P. Wu, S. Yang, B. Huang and D. Wu, Study on the transient characteristics of the centrifugal pump during the startup period with assisted valve, Processes, 8 (10) (2020) 1241.
D. Li et al., Investigation methods for analysis of transient phenomena concerning design and operation of hydraulic-machine systems — A review, Renewable and Sustainable Energy Reviews, 101 (2019) 26–46.
G. Guanzhu and W. Yun, Treatise on research orientation of underwater torpedo launching apparatus, Ship Science and T echnology, 25 (3) (2003) 21–23.
R. Barrio, J. Fernández, E. Blanco and J. Parrondo, Estimation of radial load in centrifugal pumps using computational fluid dynamics, European Journal of Mechanics - B/Fluids, 30 (3) (2011) 316–324.
J. Gonza’lez, J. N. Ferna’ndez, E. Blanco and C. Santolaria, Numerical simulation of the dynamic effects due to impeller-volute interaction in a centrifugal pump, Journal of Fluids Engineering, 124 (2) (2002) 348–355.
J. González, J. Parrondo, C. Santolaria and E. Blanco, Steady and unsteady radial forces for a centrifugal pump with impeller to tongue gap variation, Journal of Fluids Engineering, 128 (3) (2006) 454–462.
P. Yan, N. Chu, D. Wu, L. Cao, S. Yang and P. Wu, Computational fluid dynamics-based pump redesign to improve efficiency and decrease unsteady radial forces, Journal of Fluids Engineering, 139 (1) (2016) 011101.
G. Zeng et al., Investigation of the impact of splitter blades on a low specific speed pump for fluid-induced vibration, Journal of Mechanical Science and Technology, 34 (7) (2020) 2883–2893.
Z. Zou, F. Wang, Z. Yao, R. Tao, R. Xiao and H. Li, Impeller radial force evolution in a large double-suction centrifugal pump during startup at the shut-off condition, Nuclear Engineering and Design, 310 (2016) 410–417.
Y. Wang et al., Experimental study on transient startup characteristics of a super low specific speed centrifugal pump, Journal of Chemical Engineering of Japan, 52 (9) (2019) 743–750.
W. Zhang, G. Jia, P. Wu, S. Yang, B. Huang and D. Wu, Study on hydrodynamic characteristics of AUV launch process from a launch tube, Ocean Engineering, 232 (2021) 109171.
H. Sun, R. Xiao, F. Wang, Y. Xiao and W. Liu, Analysis of the pump-turbine S characteristics using the detached eddy simulation method, Chinese Journal of Mechanical Engineering, 28 (1) (2014) 115–122.
P. R. Spalart, S. Deck, M. L. Shur, K. D. Squires, M. K. Strelets and A. Travin, A new version of detached-eddy simulation, resistant to ambiguous grid densities, Theoretical and Computational Fluid Dynamics, 20 (3) (2006) 181–195.
M. S. Gritskevich, A. V. Garbaruk, J. Schütze and F. R. Menter, Development of DDES and IDDES formulations for the k-ω shear stress transport model, Flow, Turbulence and Combustion, 88 (3) (2012) 431–449.
F. R. Menter, M. Kuntz and R. Langtry, Ten years of industrial experience with the SST turbulence model, 4th International Symposium on Turbulence Heat and Mass Transfer (2003) 625–632.
D. Wu, T. Chen, Y. Sun, Z. Li and L. Wang, A study on numerical methods for transient rotating flow induced by starting blades, International Journal of Computational Fluid Dynamics, 26 (5) (2012) 297–312.
P. J. Roache, Perspective: A method for uniform reporting of grid refinement studies, Journal of Fluids Engineering, 116 (3) (1994) 405–413.
H. Yao, L. Cao, D. Wu, F. Yu and B. Huang, Generation and distribution of turbulence-induced forces on a propeller, Ocean Engineering, 206 (2020) 107255.
M. Guo, Q. Li, A. Hou and W. Yuan, A diagnostic and design approach of axial compressor based on local dynamics, Proceedings of the ASME Turbo Expo 2006: Power for Land, Sea, and Air. Volume 6: Turbomachinery, Parts A and B, Barcelona, Spain (2006) 423–433.
Z. Li, L. Wang and W. Dai, Diagnostics of a centrifugal pump during starting period based on vorticity dynamics, Journal of Engineering Thermophysics, 31 (1) (2010) 48–51.
M. Lighthill and L. Rosenhead, Laminar Boundary Layers, Oxford University Press, USA (1963) 58–88.
J. Z. Wu, R. W. Tramel, F. L. Zhu and X. Y. Yin, A vorticity dynamics theory of three-dimensional flow separation, Physics of Fluids, 12 (8) (2000) 1932–1954.
Acknowledgments
The work was financially supported by the National Natural Science Foundation of China (Grant No. 51839010), Pioneer and Leading Goose R&D Program of Zhejiang (No. 2022C01047) and the Project of Bureau of Science and Technology of Zhoushan (No.2022C81005).
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Guitao Zeng is currently a Ph.D. candidate in the Institute of Process Equipment, College of Energy Engineering, Zhejiang University. He received his B.S. degree in 2018 from Zhejiang University. His research interests include signal, vibration, cavitation, fluid mechanism, fluid machinery design and optimization.
Peng Wu is currently an Associate Professor in the Institute of Process Equipment of Zhejiang University (China). He obtained his B.Sc. degree in 2008 and his Ph.D. in 2013 from Zhejiang University (China). His major research interests include optimal design, transient flow and vibration in fluid machinery.
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Zeng, G., Chen, W., Li, J. et al. Numerical study on transient hydraulic excitation force characteristics of a water jet mixed-flow pump during rapid startup period. J Mech Sci Technol 37, 5117–5132 (2023). https://doi.org/10.1007/s12206-023-0916-5
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DOI: https://doi.org/10.1007/s12206-023-0916-5