Log in

Air entrainment and detrainment downstream of a chute aerator

  • Articles
  • Published:
Journal of Hydrodynamics Aims and scope Submit manuscript

Abstract

The chute aerators separate the flow from the chute bottom, and the air can enter into the flow through the lower surface. In this study, the air concentration and the pressure along the chute bottom are investigated systematically by a series of model tests with the upper aeration effect being eliminated. The chute downstream the aerator is partitioned into four zones: the cavity zone, the impact zone, the equilibrium zone, and the far zone. It is found that a large amount of air entrained in the cavity zone is only partially entrained into the flow finally. Furthermore, the lower air discharge is decreased sharply in the impact zone, and the detrainment disappearsonthe section of x = Lm. In the equilibrium zone, the lower air discharge is kept unchanged. With the increase of the flow Froude number and with the other parameters kept unchanged, it is found that the dimensionless value of K has a significant increase. Meanwhile, a formula to calculate K is proposed, with results in good agreement with the model and prototype data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. MATOS J., FRIZELL K. M. Air concentration and velocity measurements on self-aerated flow down stepped chutes [J]. Journal of Hydraulic Engineering [C]. Conference on water resource engineering and water resources planning and management, Minneapolis, United States, 2000, 1–10.

    Google Scholar 

  2. Wilhelms S. C. Gas transfer, cavitation, and bulking in self-aerated spillway flow [J]. Journal of Hydraulic Research, 2005, 45(4): 532–539.

    Article  Google Scholar 

  3. Pfister, M., and Hager, W. H. Chute aerators I: Air transport characteristics [J]. Journal of Hydraulic Enginee-ring, ASCE, 2010. 136(6): 352–359

    Article  Google Scholar 

  4. Pfister, M., and Hager, W. H. Chute aerators II: Hydraulic design [J]. Journal of Hydraulic Enginee-ring, ASCE, 2010. 136(6): 360–367.

    Article  Google Scholar 

  5. Pfister M., Lucas J., Hager W. H. Chute aerators: Preaerated approach flow [J]. Journal of Hydraulic Enginee-ring, ASCE, 2011, 137(11): 1452–1461.

    Article  Google Scholar 

  6. Pfister M., Hager W. H. Self-entrainment of air on the stepped spillways [J]. International Journal of Multiphase Flow, 2011, 37(2): 99–107.

    Article  Google Scholar 

  7. Chanson H. Turbulent air-water flows in hydraulic structures: Dynamic similarity and scale effects. [J]. Environmental Fluid Mechanics, 2009, 9, 125–142.

    Article  Google Scholar 

  8. Chanson H. Compressibility of extra-high-velocity Aerated Flow: A discussion [J]. Journal of Hydraulic Research, 2004, 42(2): 213–215.

    Article  Google Scholar 

  9. Chanson H. Hydraulics of aerated flows: qui pro quo? [J]. Journal of Hydraulic Research, 2013, 51(3): 223–243.

    Article  Google Scholar 

  10. Chanson H. Air-water flow measurements with intrusive phase-detection probes. Can we improve their interpreta-tion? [J]. Journal of Hydraulic Engineering, ASCE, 2002, 128(3): 252–255.

    Article  Google Scholar 

  11. WU J H, RUAN S P. Cavity length below chute aerators [J]. Science China Technological Sciences, 2008, 51(2): 170–178

    Article  MATH  Google Scholar 

  12. Kramer, K., and Hager, W. H. Air transport in chute flows [J]. International Journal of Multiphase Flow, 2005, 31(10-11):1181–1197

    Article  MATH  Google Scholar 

  13. Kramer K., Hager W. H., Minor H. E. Development of air concentration on chute spillways [J]. Journal of Hydraulic Engineering, ASCE, 2006, 132(9): 908–915.

    Article  Google Scholar 

  14. Bai R.D., Zhang F. X., Wang W. et al. Dominant factor and incremental depth formula for self-aerated flow in open channel [J]. Journal of Hydrodynamics, 2018, 30 (4): 651–656.

    Article  Google Scholar 

  15. Toombes L., Chanson H. Air-water mass transfer on a stepped waterway [J]. Journal of Environmental Engineering, 2005, 131(10): 1377–1386.

    Article  Google Scholar 

  16. Smolentsev S., Miraghaie R. Study of a free surface in open-channel water flows in the regime from “weak” to “strong” turbulence [J]. International Journal of Multiphase Flow, 2005, 31(8): 921–939.

    Article  MATH  Google Scholar 

  17. Aras E., Berkun M. Effects of tail water depth on spillway aeration [J]. Water Statistika of Afrika, 2012, 38(2): 307–312.

    Google Scholar 

  18. Bai R., Zhang F., Liu S. et al. Air concentration and bubble characteristics sownstream of a chute aerator [J]. International Journal of Multiphase Flow, 2016, 87: 156–166.

    Article  Google Scholar 

  19. Bai R., Liu S., Wang W. et al. Experimental investigations on air–water flow properties of offset-aerator [J]. Journal of Hydraulic Engineering, ASCE, 2018, 144(2): 04017059.

    Article  Google Scholar 

  20. Teng P. H., Yang J. Modeling and prototype testing of flows over flip-bucket aerators [J]. Journal of Hydraulic Engineering, ASCE, 2018, 144(12): 04018069.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shan-jun Liu.

Additional information

Project supported by the National Key Research and Development Program (Grant No. 2016YFC0401707), the National Natural Science Foundation of China (Grant Nos. 51709293, 51479129)

Biography: Rui-di Bai (1987-), Male, Ph. D.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bai, Rd., Zhang, Fx., Wang, W. et al. Air entrainment and detrainment downstream of a chute aerator. J Hydrodyn 31, 76–82 (2019). https://doi.org/10.1007/s42241-018-0093-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42241-018-0093-7

Key words

Navigation