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Hydraulic Characteristics of Vertical Vortex at Hydraulic Intakes

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Abstract

The trace of vertical vortex flow at hydraulic intakes is of the shape of spiral lines, which was observed in the presented experiments with the tracer technique. It represents the fluid particles flow spirally from the water surface to the underwater and rotate around the vortex-axis multi-cycle. This process is similar to the movement of screw. To describe the multi-circle spiral characteristics under the axisymmetric condition, the vertical vortex would change not only in the radial direction but also in the axial direction. The improved formulae for three velocity components for the vertical vortex flow were deduced by using the method of separation of variables in this article. In the improved formulae, the velocity components are the functions of the radial and axial coordinates, so the multi-circle spiral flow of vertical vortex could be simulated. The calculated and measured results for the vertical vortex flow were compared and the causes of errors were analyzed.

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References

  1. JAIN A. K., RANGA RAJU K. G. and GARDE R. J. Vortex formation at vertical pipe intakes [J]. Journal of the Hydraulics Division, Asce, 1978, 104(10): 1429–1448.

    Google Scholar 

  2. DENNY D. F. An experimental study of air-entraining vertices in pump [J]. Journal of Institution of Mechanical Engineers, 1956, 170(2): 106–116.

    Article  Google Scholar 

  3. DAGGETT L. K. and KEULEGAN G. H. Similitude conditions in free-surface vortex formation [J]. Journal of the Hydraulics Division Asce, 1974, 170(11): 1565–1581.

    Google Scholar 

  4. LIU Ying-zheng et al. Experimental investigation on vortex breakdown in spin-up and spin-down process via Piv [J]. Journal of Hydrodynamics, Ser. B, 2003, 15(2): 58–63.

    Google Scholar 

  5. LU Yong-jin and GUO Zi-zhong. Flow upstream of intake [J]. Journal of Hydrodynamics, Ser. A, 1989, 4(3): 74–78. (in Chinese).

    Google Scholar 

  6. TANG Hong-wu, XU Xie-rong and ZHANG Zhi-jun. Particle image velocimetry technique and its application of free vortex at vertical intake [J]. Journal of Hydrodynamics, Ser. A, 1999, 14(1): 128–134. (in Chinese).

    Google Scholar 

  7. CHEN Yun-liang, WU Chao and YE Mao. Research for flow pattern in intake of hydroelectric station [J]. Journal of Hydrodynamics, Ser. A, 2005, 20(3): 340–345 (in Chinese).

    Google Scholar 

  8. ZOU Jing-ming et al. The research of vortex precaution in intake [J]. Journal of Hydrodynamics, Ser. A, 2000, 15(1): 463–466. (in Chinese).

    MathSciNet  Google Scholar 

  9. RANKINE W. J. M. Manual of applied mechanics[M]. London, England: C. Griffen Co., 1858.

    MATH  Google Scholar 

  10. EINSTEIN H. A. and LI H. Steady vortex flow in a real fluid [J]. La Houille Blanche, 1955, 10(4), 483–496.

    Article  Google Scholar 

  11. ODGAARD A. J. Free-surface air core vortex [J]. Journal of Hydraulic Engineering, Asce, 1986, 112(7): 610–620.

    Article  Google Scholar 

  12. ODGAARD A. J. Discussion of “Free-surface air core vortex”[J]. Journal of Hydraulic Engineering, Asce, 1988, 114(4): 449–452.

    Article  Google Scholar 

  13. Mih W.C. Discussion of analysis of fine particle concentration in a combined vortex [J]. Journal of Hydraulic Research, Asce, 1990, 28(3): 392–395.

    Article  Google Scholar 

  14. HITE E. J. and MIH W. C. Velocity of vertical vortices at hydraulic intakes [J]. Journal of Hydraulic Engineering, Asce, 1994, 120(3): 284–297.

    Article  Google Scholar 

  15. RU shu-xun, He xue-min and Dai guang-qing. Experimental investigation on steady three dimensional vortex flow field through horizontal orifices [C]. International Symposium on Hydraulic Research in Nature and Laboratory. Wuhan, China, 1992, 162–168.

    Google Scholar 

  16. RAJENDRAN V. P., CONSTANTINESCU S. G. and PATEL V. C. Experimental validation of a numerical model of flow in pump-intake bays [J]. Journal of Hydraulic Engineering, Asce, 1999, 125(11): 1119–1125.

    Article  Google Scholar 

  17. RAJENDRAN V. P. and PATEL V. C. Measurement of vertices in model pump-intake bay by Piv [J]. Journal of Hydraulic Engineering, ASCE, 2000, 126(3): 322–334.

    Article  Google Scholar 

  18. KEVORKIAN J. Partial differential equations analytical solution techniques [M]. California, USA: Wadsworth and Brooks/Cole Advanced Books and Software Pacific Grove, 1989.

    MATH  Google Scholar 

  19. XIE Pei-zhen. Experimental studies of free-surface vortices near the entrances outlets [C]. Proceedings of the second Asian Congress of Fluid Mechanics. Beijing China, 1983, 821–826.

    Google Scholar 

  20. JULIEN P. Y. Concentration of very fine silts in a steady vortex [J]. Journal of Hydraulic Research, Asce, 1986, 24(4): 255–264.

    Article  Google Scholar 

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Correspondence to Yun-liang Chen.

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Project supported by the National Natural Science Foundation of China (Grant No. 50379030) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20020610016).

Biography: CHEN Yun-liang(1976-),Male, Ph. D., Lecturer

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Chen, Yl., Wu, C., Ye, M. et al. Hydraulic Characteristics of Vertical Vortex at Hydraulic Intakes. J Hydrodyn 19, 143–149 (2007). https://doi.org/10.1016/S1001-6058(07)60040-7

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  • DOI: https://doi.org/10.1016/S1001-6058(07)60040-7

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