Theoretical model of transient mixed-flow pump start-up
LU Yangping1, MA Can2, TAN Lei1, HAN Yadong1
1. State Key Laboratory of Hydroscience and Engineering, Department of Energy and Power Engineering, Tsinghua University, Beijing 100084, China; 2. Science and Technology on Thermal Energy and Power Laboratory, Wuhan Second Ship Design and Research Institute, Wuhan 430205, China
Abstract:Start-up transients in mixed-flow pumps are very complex due to the flow variations and rotational stall during start-up. A transient head equation was solved with a pipe resistance equation in this study to give a theoretical model for the varying flow rate and head during start-up of a mixed-flow pump. The model included the rotational acceleration to predict the variation of the flowrate and head during start-up. The start-up was also modeled with a three-dimensional numerical model of the mixed-flow pump and pipe system to predict the transient pump characteristics. The model predictions agree well with the numerical results to validate the theoretical model. During start-up, the flowrate does not increase as fast as the speed but continues to slowly increase after the pump has reached the maximum rotational speed. The transient pump head can be divided into the steady-state head, the acceleration head and the inertia head with the acceleration and inertia heads greatly influencing start-up.
鲁阳平, 马灿, 谭磊, 韩亚东. 混流泵启动过程瞬态性能理论模型[J]. 清华大学学报(自然科学版), 2022, 62(12): 1938-1944.
LU Yangping, MA Can, TAN Lei, HAN Yadong. Theoretical model of transient mixed-flow pump start-up. Journal of Tsinghua University(Science and Technology), 2022, 62(12): 1938-1944.
[1] TSUKAMOTO H, OHASHI H. Transient characteristics of a centrifugal pump during starting period[J]. Journal of Fluids Engineering, 1982, 104(1): 6-13. [2] LEFEBVRE P J, BARKER W P. Centrifugal pump performance during transient operation[J]. Journal of Fluids Engineering, 1995, 117(1): 123-128. [3] THANAPANDI P, PRASAD R. A quasi-steady performance prediction model for dynamic characteristics of a volute pump[J]. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, 1994, 208(1): 47-58. [4] THANAPANDI P, PRASAD R. Centrifugal pump transient characteristics and analysis using the method of characteristics[J]. International Journal of Mechanical Sciences, 1995, 37(1): 77-89. [5] WANG L Q, WU D Z, ZHENG S Y. Experimental study on transient performance of a mixed-flow-pump[J]. Fluid Machinery, 2003, 31(1): 1-3, 6. (in Chinese) 王乐勤, 吴大转, 郑水英. 混流泵瞬态水力性能试验研究[J]. 流体机械, 2003, 31(1): 1-3, 6. [6] WANG L Q, WU D Z, ZHENG S Y. Numerical study on transient performance of mixed flow pump during starting period[J]. Fluid Machinery, 2004, 32(1): 10-13. (in Chinese) 王乐勤, 吴大转, 郑水英. 混流泵开机过程瞬态水力性能的数值计算[J]. 流体机械, 2004, 32(1): 10-13. [7] HU Z Y, WU D Z, WANG L Q. Transient hydrodynamic performance of centrifugal pump during rapid starting period: Study of explicit characteristics[J]. Journal of Zhejiang University (Engineering Science), 2005, 39(5): 605-608, 622. (in Chinese) 胡征宇, 吴大转, 王乐勤. 离心泵快速启动过程的瞬态水力特性: 外特性研究[J]. 浙江大学学报(工学版), 2005, 39(5): 605-608, 622. [8] WU D Z, JIAO L, WANG L Q. Experimental study on transient performance of centrifugal pump under different starting acceleration[J]. Journal of Engineering Thermophysics, 2008, 29(1): 62-64. (in Chinese) 吴大转, 焦磊, 王乐勤. 不同启动加速度下离心泵瞬态水力性能的试验研究[J]. 工程热物理学报, 2008, 29(1): 62-64. [9] WU D Z, JIAO L, WANG L Q. Experimental study on cavitation performance of a centrifugal pump during starting period[J]. Journal of Engineering Thermophysics, 2008, 29(10): 1682-1684. (in Chinese) 吴大转, 焦磊, 王乐勤. 离心泵启动过程瞬态空化特性的试验研究[J]. 工程热物理学报, 2008, 29(10): 1682-1684. [10] LI Z F, WU D Z, WANG L Q, et al. Numerical simulation of the transient flow in a centrifugal pump during starting period[J]. Journal of Fluids Engineering, 2010, 132(8): 081102. [11] LI Z F, WU P, WU D Z, et al. Experimental and numerical study of transient flow in a centrifugal pump during startup[J]. Journal of Mechanical Science and Technology, 2011, 25(3): 749-757. [12] YANG C X, WANG B. 3-D numerical simulation on transient characteristics of centrifugal pump during starting period[J]. Journal of Drainage and Irrigation Machinery Engineering, 2010, 28(2): 122-126. (in Chinese) 杨从新, 王斌. 离心泵在启动阶段的瞬态三维数值模拟[J]. 排灌机械工程学报, 2010, 28(2): 122-126. [13] GUO X J, CHEN H X, ZHU B. Numerical simulation for centrifugal pump during starting period[J]. Journal of Shanghai University (Natural Science), 2012, 18(3): 288-292. (in Chinese) 郭宪军, 陈红勋, 朱兵. 离心泵启动过程的数值模拟[J]. 上海大学学报(自然科学版), 2012, 18(3): 288-292. [14] LI W, ZHANG Y, SHI W D, et al. Numerical simulation of transient flow field in a mixed-flow pump during starting period[J]. International Journal of Numerical Methods for Heat & Fluid Flow, 2018, 28(4): 927-942. [15] LI W, JI L L, SHI W D, et al. Particle image velocimetry experiment of the inlet flow field in a mixed-flow pump during the startup period[J]. Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, 2020, 234(3): 300-314. [16] ZHANG D S, GU Q, CHEN Z H, et al. Numerical simulation and experimental study on transient cavitation characteristics of mixed-flow pump startup process[C]// Proceeding of the 30th National Conference on Hydrodynamics & 15th National Congress on Hydrodynamics. China: China Ocean Press, 2019: 526-528. (in Chinese) 张德胜, 顾琦, 陈宗贺, 等. 混流泵启动过程瞬态空化特性的数值模拟和实验研究[C]// 第三十届全国水动力学研讨会暨第十五届全国水动力学学术会议论文集. 中国: 海洋出版社, 2019: 526-538. [17] CHEN Z H, SHI W D, ZHANG D S, et al. Experimental study on cavitation characteristics of mixed-flow pump during startup[J]. Journal of Drainage and Irrigation Machinery Engineering, 2019, 37(9): 758-762. (in Chinese) 陈宗贺, 施卫东, 张德胜, 等. 混流泵启动过程空化特性的试验研究[J]. 排灌机械工程学报, 2019, 37(9): 758-762.