Cross influence of discharge and circulation on head loss of conduit of pump system with low head

doi:10.1007/s10483-012-1647-9

摘要/Abstract

摘要： The relationship between the head loss and the discharge and circulation of the conduit of a pump system with low head is an important problem with an obvious influence on the improvement of its hydraulic performance. The velocity circulation from the pump guide vane makes the relationship more complicated, which has to be understood comprehensively. The results indicate that, under the condition of zero circulation, the head loss of the inlet and outlet conduits is in proportion to the square of discharge. Under the condition that the Reynolds number is satisfied with the resistant square area, the conduit loss is in proportion to the square of discharge for the similar working points with different speeds in a certain rotational speed range, indicating that the pump system efficiency is constant. The outlet conduit loss of design discharge for a pump system with low head depends on the velocity circulation from the guide vane exit, and the relationship between the loss and the circulation is an open curve with an upward direction, meaning that there is an optimal circulation for the loss. Under the condition of various working points for a pump system with low head, the head loss of the outlet conduit is under the cross influence of both the discharge and the circulation. As a result, the relationship between the head loss and the discharge is almost linear, and the mechanism needs to be further studied.

关键词: vibration control, active constraint, sandwich plate, discharge, circulation, low head, pump system, conduit, head loss

Abstract: The relationship between the head loss and the discharge and circulation of the conduit of a pump system with low head is an important problem with an obvious influence on the improvement of its hydraulic performance. The velocity circulation from the pump guide vane makes the relationship more complicated, which has to be understood comprehensively. The results indicate that, under the condition of zero circulation, the head loss of the inlet and outlet conduits is in proportion to the square of discharge. Under the condition that the Reynolds number is satisfied with the resistant square area, the conduit loss is in proportion to the square of discharge for the similar working points with different speeds in a certain rotational speed range, indicating that the pump system efficiency is constant. The outlet conduit loss of design discharge for a pump system with low head depends on the velocity circulation from the guide vane exit, and the relationship between the loss and the circulation is an open curve with an upward direction, meaning that there is an optimal circulation for the loss. Under the condition of various working points for a pump system with low head, the head loss of the outlet conduit is under the cross influence of both the discharge and the circulation. As a result, the relationship between the head loss and the discharge is almost linear, and the mechanism needs to be further studied.

Key words: vibration control, active constraint, sandwich plate, discharge, circulation, low head, pump system, conduit, head loss

中图分类号:

陆伟刚;董雷;王兆飞;陆林广. Cross influence of discharge and circulation on head loss of conduit of pump system with low head[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(12): 1533-1544.

Wei-gang LU;Lei DONG;Zhao-fei WANG;Lin-guang LU. Cross influence of discharge and circulation on head loss of conduit of pump system with low head[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(12): 1533-1544.

参考文献

[1] Wu, C. G. Hydraulics (in Chinese), Vol. 1, Higher Education Press, Beijing, 81-83; 143-161 (2003)
[2] Lu, L. G., Zhu, J., Leng, Y., and Wu, K. P. Measurement for hydraulic loss of inlet conduit ofpumping station (in Chinese).Drainage and Irrigation Machinery, 23(4), 14-17 (2005)
[3] Lu, L. G., Wu, C. X., Ji, J. Z., Leng, Y., Wu, K. P., and Wang, J. Measurement for hydraulicloss of model conduit of bulb tubular pump (in Chinese).South to North Water Transfers andWater Science & Technology, 5(1), 82-84 (2007)
[4] Chen, W., Lu, L. G., Wang, G., and Dong, L. Influence of axial-flow pump operating condition onthe pre-swirl at impeller inlet (in Chinese). Journal of Hydroelectric Engineering. 31(1), 213-219(2012)
[5] Engineering Technology Institute of Beifang Investigation, Design & Research Co. Ltd. Report onthe Pump System Model Test of the Changgou Pumping Station in the Shandong South-to-NorthWater Diversion Project (in Chinese), Beifang Investigation, Design & Research Co. Ltd, Tianjin(2009)
[6] Engineering Technology Institute of Beifang Investigation, Design & Research Co. Ltd. Report onthe Pump System Model Test of the Denglou Pumping Station in the Shandong South-to-NorthWater Diversion Project (in Chinese), Beifang Investigation, Design & Research Co. Ltd, Tianjin(2009)
[7] Engineering Technology Institute of Beifang Investigation, Design & Research Co. Ltd. Reporton the Shaft Tubular Pump System Model Test of the Pizhou Pumping Station in the First Stageof Eastern Route of South-to-North Water Diversion Project (in Chinese), Beifang Investigation,Design & Research Co. Ltd, Tianjin (2010)
[8] GB/T 18149-2000. Centrifugal, Mixed Flow and Axial Pumps—Code for Hydraulic PerformanceTests—Precision Class (in Chinese), General Administration of Quality Supervision, Inspectionand Quarantine of the People’s Republic of China (2000)
[9] Liang, J. D., Lu, L. G., Xu, L., Chen, W., and Wang, G. Influence of flow velocity circulation atguide vane outlet of axial-flow pump on hydraulic loss in outlet conduit (in Chinese). Transactionsof the Chinese Society of Agricultural Engineering, 28(1), 55-60 (2012)
[10] ANSI/HI 9.8-1998. American National Standard for Pump Intake Design, American HydraulicInstitute, New Jersey (1998)
[11] Lu, L. G., Wu, K. P., Leng, Y., and Zhu, J. Measurement for hydraulic loss of outlet conduit ofpumping station (in Chinese). Drainage and Irrigation Machinery, 23(5), 23-26 (2005)
[12] Li, Y. J. and Wang, F. J. Numerical investigation of performance of an axial-flow pump withinducer. Journal of Hydrodynamics, Ser. B, 19(6), 705-711 (2007)
[13] Zhang, D. S., Shi, W. D., Chen, B., and Guan, X. F. Unsteady flow analysis and experimentalinvestigation of axial-flow pump. Journal of Hydrodynamics, 22(1), 35-43 (2011)
[14] Oh, H. W. Design parameter to improve the suction performance of mixed-flow pump impeller.Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy,224(6), 881-887 (2010)
[15] Nand Kishor, Singh, S. P., and Raghuvanshi, A. S. Dynamic simulations of hydroturbine and itsstate estimation based LQ control. Energy Conversion and Management, 47(18-19), 3119-3137(2006)
[16] Barrio, R., Fernandez, J., Blanco, E., and Parrondo, J. Estimation of radial load in centrifugalpumps using computational fluid dynamics. European Journal of Mechanics B/Fluids, 30(3), 316-324 (2011)
[17] Blazek, J. Computational Fluid Dynamics: Principles and Applications, 2nd ed., Elsevier, Nether-lands, 227-270 (2005)
[18] Rodi, W. Turbulence Models and Their Application in Hydraulics Experimental and MathematicalFluid Dynamics, IAHR Section on Fundamentals of Division II, Delft, 44-46 (1980)
[19] Fen, H. M. Pump (in Chinese), China Water Power Press, Beijing, 193-194 (1991)