Abstract
The Basset-Boussinesq-Oseen (BBO) equation can be used for most flows to trace the motion of a particle, but in a centrifugal pump, among the forces that act on the particles, one should also include those due to the impeller rotation, as additional effects. This paper firstly reviews various approximations of the BBO equation for the motion of dispersion particles in a viscous fluid. Then based on the motion equation for particles in low Reynolds number centrifugal pumps, a formula for calculating the tracking characteristics of tracer particles is deduced through the Fourier integral transformation. After that the deviations of the particle motion from the fluid motion, as predicted by the various approximations, are discussed and compared. At last, with an emphasis on the Particle Image Velocimetry (PIV) results, the tracking characteristics of particles are estimated. Also, advantages and disadvantages of different tracer particles are discussed and suitable tracer particles for application in PIV studies for flow fields in centrifugal pumps are suggested.
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PEDERSEN N., LARSEN P. S. and JACOBSEN C. B. Flow in a centrifugal pump impeller at design and off design conditions part I: Particle Image Velocimetry (PIV) and Laser Doppler Velocimetry (LDV) measure-ments [J]. Journal of Fluids Engineering, 2003, 125(1): 61–72.
ADRIAN R. J. Twenty years of particle image velocimetry [J]. Experiments in fluids, 2005, 39(2): 159–169.
CHOI Y., KUROKAWA J. and MATSUI J. Performance and internal flow characteristics of a very low specific speed centrifugal pump [J]. Journal of Fluids Engineering, 2006, 128(2): 341–349.
FENG J., BENRA F.K. and DOHMEN H. J. Unsteady flow visualization at part-load conditions of a radial diffuser pump: By PIV and CFD [J]. Journal of Visuali-zation, 2009, 12(1): 65–72.
FAN Hui-min, HONG Fang-wen and ZHANG Guo-pin. et al. Applications of CFD Technique in the design and flow analysis of implantable axial flow blood pump [J]. Journal of Hydrodynamics, 2010, 22(4): 518–525.
SHAO Chun-lei, GU Bo-qin and HUANG Xing-l. et al. Experimental study on flow in the impeller of low specific speed pump using particle image velocime-try [J]. Journal of Aerospace Power, 2010, 25(9): 2091–2096(in Chinese).
HART D. P. PIV error correction [J]. Experiments in Fluids, 2000, 29(1): 13–22.
RAGNI D., SCHRIJER F. and Van OUDHEUSDEN B. W. Particle tracer response across shocks measured by PIV [J]. Experiments in fluids, 2011, 50(1): 53–64.
HJELMFELT A. T., MOCKROS L. F. Motion of discrete particles in a turbulent fluid [J]. Applied Scientific Research, 1966, 16(1): 149–161.
ZHANG T., CELIK D. and Van SCIVER S. W. Tracer particles for application to PIV studies of liquid helium [J]. Journal of Low Temperature Physics, 2004, 134(3–4): 985–1000.
ZHANG T., Van SCIVER S. W. The motion of micron-sized particles in He IPI counterflow as observed by the PIV technique [J]. Journal of Low Temperature Physics, 2005, 138(3–4): 865–870.
LIANG Gui-hua, ZHAO Yu. Analyses of following behaviors as tracer particle by PIV in chamber of internal combustion engine [J]. Journal of Dalian University of Technology, 2004, 44(5): 662–665(in Chinese).
YAN Jing, YANG Xiao-lin and DENG Wan-qua. et al. Analysis on following features of tracer particles [J]. Transactions of the Chinese Society for Agricultural Machinery, 2005, 36(6): 54–56(in Chinese).
LI En-bang, LI Zhi-ping and LI Chu. et al. Numerical analysis of following behaviors of particle tracers in tur-lent [J]. Chinese Journal of Scientific Instrument, 2009, 30(2): 225–231(in Chinese).
LI Ya-lin, YUAN Shou-qi and TANG Yu. et al. Analysis on tracing ability of PIV seeding particles in flow fields of centrifugal pumps [J]. Journal of Drainage and Irrigation Machinery Engineering, 2012, 30(1): 6–10(in Chinese).
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Project supported by the National Outstanding Young Scientist Funds of China (Grant No. 50825902), the Jiangsu Provincial Innovative Scholars “Climbing” Project of China (Grant No. BK2009006) and the National Natural Science Foundation of China (Grant No. 50979034).
Biography: LI Ya-lin (1984- ), Male, Ph. D.
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Li, Yl., Yuan, Sq., Tang, Y. et al. Motion of Tracer Particles in a Centrifugal Pump and Its Tracking Characteristics. J Hydrodyn 24, 785–793 (2012). https://doi.org/10.1016/S1001-6058(11)60304-1
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DOI: https://doi.org/10.1016/S1001-6058(11)60304-1