Numerical Analysis on the Unsteady Radial Load on the Shaft of a Large-Scale Dredge Pump Unit

Document Type : Regular Article

Authors

1 CCCC National Engineering Research Center of Dredging Technology and Equipment Co., Ltd., Shanghai, 200082, China

2 School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

3 State Key Laboratory of Hydroscience and Engineering & Department of Energy and Power Engineering, Tsinghua University, Beijing, 100084, China

Abstract

Vibration and fatigue damage of pump shafts has become a prominent engineering problem, indicating the need for higher-quality reliability analysis of the pump unit in the design stage. In this study, the unsteady flow field in a large centrifugal dredge pump was numerically simulated via the unsteady Reynolds-averaged Navier-Stokes (URANS) method with the SST k-ω model. An experiment was carried out to verify the numerical method. The hydraulic radial force on the impeller and the total radial load were calculated based on computational fluid dynamics. The flow field with a double volute was simulated, analyzed, and compared to the flow field with a single volute. The stress of the pump shaft caused by the radial load was also calculated and discussed. The results show that the impeller gravity determines the time-averaged value and fluctuation frequency of the total radial load on the shaft, which must be considered in the shaft stability analysis. The total radial load fluctuating in asymmetric cycle results in stress cycles with different features at different circumferential locations. The application of a double volute effectively reduces the radial load on the pump shaft, which decreases the time-averaged hydraulic radial force by 38% and its fluctuation amplitude by 3%, decreases the time-averaged total radial load by 20% and its fluctuation amplitude by 28% in the design condition, and decreases the local stress at the narrowest shaft section by 44%. A double volute can be applied to weaken vibration and fatigue damage for a pump shaft if it is acceptable for the pump efficiency to be lowered.

Keywords


Adkins, D. and C. E. Brennen (1988). Analysis of hydrodynamic radial forces on centrifugal pump impellers. ASME Journal of Fluids Engineering 110(1), 20-28.##
Barrio, R., J. Fernández, E. Blanco and J. Parrondo (2011). Estimation of radial load in centrifugal pumps using computational fluid dynamics. European Journal Mechanics B/Fluids 30(3), 316-324.##
Brennen, C. E. (2011). Hydrodynamics of Pumps. Cambridge University Press, New York, USA.##
Cao, L., Y. Zhang, Z. Wang, Y. Xiao and R. Liu (2015). Effect of axial clearance on the efficiency of a shrouded centrifugal pump. Journal of Fluids Engineering 137(7), 071101.##
Cui, B., J. Li, C. Zhang and Y. Zhang (2020). Analysis of radial force and vibration energy in a centrifugal pump. Mathematical Problems in Engineering 2020, 1-12.##
Cui, B., X. Li, K. Rao, X. Jia and X. Nie (2018). Analysis of unsteady radial forces of multistage centrifugal pump with double volute. Engineering Computations 35(3), 1500-1511.##
Dai, C., Dai, F. Kong, L. Dong, H. Zhang and Z. Feng (2015). Effect of blade wrap angle on the radial force of centrifugal pump as turbine. Journal of Vibration and Shock 34(18), 69-72+99.##
Gonzalez, J., J. Parrondo, C. Santolaria and E. Blanco (2006). Steady and unsteady radial forces for a centrifugal pump with impeller to tongue gap variation. ASME Journal of Fluids Engineering 128(3), 454-462.##
Guo, S. and O. Hidenobu (2003). An experimental study on the fluid forces induced by rotor-stator interaction in a centrifugal pump. International Journal of Rotating Machinery 9(2), 135-144.##
Hao, Y. and L. Tan (2018). Symmetrical and unsymmetrical tip clearances on cavitation performance and radial force of a mixed flow pump as turbine at pump mode. Renewable Energy 127, 368-376.##
Jia, Q. (2017). Investigation on Unstable Flow and Vibriation Characteristics of a Centrifugal Pump. Ph. D. thesis, Zhejiang University, Hanzhou, China. (In Chinese)##
Jia, X., Jia, S. Yuan, Z. Zhu and B. Cui (2019). Numerical study on instantaneous radial force of a centrifugal pump for different working conditions. Engineering Computations 37(2), 458-480.##
Kang, C. and Y. Li (2014). The effect of twin volutes on the flow and radial hydraulic force production in a submersible centrifugal pump. Proceedings of the Institution of Mechanical Enginners Part A - Journal of Power and Energy 229(a2), 221-237.##
Khalifa, A. E., A. M. Al-Qutub and R. Ben-Mansour (2011). Study of pressure fluctuations and induced vibration at blade-passing frequencies of a double volute pump. Arabian Journal for Science and Engineering 36(7), 1333-1345.##
Kim, K., H. Shim, A. Afzal and H. Jeong (2016). Three-objective optimization of a centrifugal pump with double volute to minimize radial thrust at off-design conditions. Proceedings of the Institution of Mechanical Engineers 230(6), 598-615.##
Liu, Y., J. Gong, K. An and L. Wang (2020). Cavitation Characteristics and Hydrodynamic Radial Forces of a Reversible Pump–Turbine at Pump Mode. Journal of Energy Engineering, 146(6), 04020066.##
Lu, G., Z. Zuo, S. Liu, Y. Fan and Y. Wu (2015). Numerical analysis of the influence of casing’s shape on the radial force of a centrifugal pump. Journal of Engineering Thermophysics 36(4), 770-774.##
Lu, Z., N. Li, R. Tso, Z. Yao, E. Liu and R. Xiao (2022), Influence of eccentric impeller on pressure pulsation of large-scale vaned-voluted centrifugal pump. Proceedings of the Institution of Mechanical Enginners Part A - Journal of Power and Energy.##
Martynyuk O. and A. Petrov (2020). Experience in calculating the annular discharge of a centrifugal pump based on the hydrodynamic modeling method. IOP Conference Series: Materials Science and Engineering 963, 012023.##
Meng, D., T. Jiang, H. Deng and G. Hou (2021). Numerical Simulation Research on Radial Force of Centrifugal Pump with Guide Vanes. Shock and Vibration, 2021, 6638123.##
Mou, J., Mou, J. Liu, Y. Gu, D. Dai, S. Zheng and Y. Ma (2016). Effect of different tongues on radial hydraulic force characteristics and internal flow field of a centrifugal pump. Journal of Vibration and Shock 35(11), 116-122.##
Pei, J., S. Yuan, J. Yuan and L. Yin (2009). Numerical analysis on asymmetrical distribution of flow field and radial force for a centrifugal pump. In Proceedings of the 2009 International Conference on Energy and Environment Technology, Washington, USA.##
Shi, H., J. Mou, S. Zhen, J. Gan, L. Lin and W. Fan (2013). Effect of different baffle length of double volute pump on radial force balance. Acta Agriculturae Zhejiangensis 25(6), 1378-1382. (In Chinese)##
Shi, W., C. Chen, L. Tan and Z. Shi (2022). Experimental study on the single blade centrifugal pump radial force. Journal of Vibration and Shock 41(2), 185-192.##
Smirnov, P. E. and F. R. Menter (2009). Sensitization of the SST turbulence model to rotation and curvature by applying the spalart-shur correction term. Journal of Turbomachinery 131(4), 041010.##
Song, Y., H. Fan and Z. Huang (2021). Study on radial force characteristics of double-suction centrifugal pumps with different impeller arrangements under cavitation condition. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy 235(3), 421-431.##
Spence, R. and J. Amaral Teixeira (2009). A CFD parametric study of geometrical variations on the pressure pulsations and performance characteristics of a centrifugal pump. Computers & Fluids 38(6), 1243-1257.##
Tan, M., Y. Lu, X Wu, H. Liu and X Tian (2021). Investigation on performance of a centrifugal pump with multi-malfunction. Journal of Low Frequency Noise Vibration and Active Control 40(2), 740-752.##
Yan, P. (2017). Research on Unsteady Characteristics and Flow Induced Vibration of Large Flow Rate Pumps. Ph. D. thesis, Zhejiang university, Hanzhou, China. (In Chinese)##
Yuan, Y., S. Yuan and L. Tang (2019). Numerical investigation on the mechanism of double-volute balancing radial hydraulic force on the centrifugal pump. Processes 7(10), 689.##
Yusoff, M. D., M. H. Lim, M. R. Yahaya and J. Azman (2016). Exit geometry modifications of double volute centrifugal pump for vane passing frequency vibration resolution: a case study. Advanced Engineering Forum 16, 82-90.##
Zhang, H. (2022). Research on the Influence of the Double Tongue Volute Structure on the Plastic Centrifugal Pump Performance. M.D. thesis, Anhui Polytechnic University, Wuhu, China. (In Chinese)##
Zhao, W., S. Chen, Q. Zhao, D. Ma, Y. Liang and H. Peng (2021). Effect of blade arrangement on radial force of double suction centrifugal pump. Journal of Drainage and Irrigation Machinery Engineering 39(4), 331-337. (In Chinese)##
Zhao, Y., X. Wang and R. Zhu (2021). Effect of eccentricity on radial force and cavitation characteristics in the reactor coolant pump. Thermal Science 25(5A), 3269-3279.##
Zhu, A. (2021). Numerical Simulation and Experimental Study on Radial Force of Centrifugal Pump. M.D. thesis, Shenyang University of Technology, Shenyang, China. (in Chinese)##