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Analysis on Link Between the Macroscopic and Microscopic Air–Water Properties in Self-Aerated Flows

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Abstract

Self-aeration in high-speed free surface flows occurs commonly and is of interest to ocean engineering, hydraulic engineering, and environmental engineering. For two-phase air–water flows, macroscopic air–water flow properties develop gradually, accompanied by the change of microscopic air–water structures. In this article, representational experimental studies on macroscopic and microscopic characteristics of self-aerated open-channel flows are summarized and compared. The isolated effect of the flow Reynolds number and air quantity on the differences in air count rate and chord size are analyzed and discussed. The results show that the characterized flow depth y50, affected by the turbulence transfer, is a specific criterion to distinguish the interior air–water structure development. Two distinct linear trends of self-aeration are found, depending on the y50/y90 variation with a breaking point at Cmean = 0.50. The air count rate and size scale in self-aerated flows are affected by the air quantity of self-aerated flows, even with identical flow Reynolds numbers. Thus, a specific parameter is proposed to assess the air–water structures and a series of self-similarity relationships in self-aeration properties are obtained. The link between macroscopic and microscopic air–water properties results in significant scale effect on air–water structures in self-aerated flows.

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References

  • Afshar, N.R., Asawa, G.L. and Raju, K.G.R., 1994. Air concentration distribution in self-aerated flow, Journal of Hydraulic Research, 32(4), 623–631.

    Article  Google Scholar 

  • Anderson, A.G., 1955. The Distribution of Air in Self-Aerated Flow in A Smooth Open Channel, Report No.48, University of Minnesota, Minneapolis, USA.

    Google Scholar 

  • Boes, R.M. and Hager, W.H., 2003. Two-phase flow characteristics of stepped spillways, Journal of Hydraulic Engineering, 129(9), 661–670.

    Article  Google Scholar 

  • Brocchini, M. and Peregrine, D.H., 2001a. The dynamics of strong turbulence at free surfaces. Part 1. Description, Journal of Fluid Mechanics, 449(1), 225–254.

    Article  MathSciNet  MATH  Google Scholar 

  • Brocchini, M. and Peregrine, D.H., 2001b. The dynamics of strong turbulence at free surfaces. Part 2. Free-surface boundary conditions, Journal of Fluid Mechanics, 449(1), 255–290.

    Article  MathSciNet  MATH  Google Scholar 

  • Cain, P., 1978. Measurements Within Self-Aerated Flow on A Large Spillway, Ph. D. Thesis, University of Canterbury, Christchurch, New Zealand.

    Google Scholar 

  • Cain, P. and Wood, I.R., 1981. Measurements of self-aerated flow on a spillway, Journal of the Hydraulics Division, 107(11), 1425–1444.

    Google Scholar 

  • Chanson, H., 1995. Air Bubble Entrainment in Free-Surface Turbulent Flows: Experimental Investigations, Report Ch46/95, University of Queensland, Brisbane, Australia.

    MATH  Google Scholar 

  • Chanson, H., 2002. The Hydraulics of Stepped Chutes and Spillways, Balkema, Lisse, The Netherlands.

    Google Scholar 

  • Chanson, H. and Cummings, P.D., 1995. Air–Water Interface Area in Supercritical Flows Down Small-Slope Chutes, Report Ce151, University of Queensland, Brisbane, Australia.

    Google Scholar 

  • Chanson, H., 2007. Hydraulic engineering in the 21st century: Where to? 13th Arthur Ippen awardee, IAHR member Journal of Hydraulic Research, 45(3), 291–301.

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Chen, X.P., Xi, R.Z., Shao, D.C. and Liang, B., 2003. New concept of air entrainment effect on mitigating cavitation damage, Journal of Hydraulic Engineering, 34(8), 70–74. (in Chinese)

    Google Scholar 

  • Deng, J., Wei, W.R., Xu, W.L., Tian, Z. and Zhang, F.X., 2015. Experimental study on air-phase frequency in self-aerated flow, Proceedings of the Institution of Civil Engineers–Water Management, 168(4), 153–161.

    Article  Google Scholar 

  • Felder, S. and Chanson, H., 2016. Air–water flow characteristics in high-velocity free-surface flows with 50% void fraction, International Journal of Multiphase Flow, 85), 186–195.

    Article  Google Scholar 

  • Felder, S. and Chanson, H., 2017. Scale effects in microscopic air-water flow properties in high-velocity free-surface flows, Experimental Thermal and Fluid Science, 83), 19–36.

    Article  Google Scholar 

  • Ferrando, A.M. and Rico, J.R., 2002. On the incipient aerated flow in chutes and spillways, Journal of Hydraulic Research, 40(1), 95–97.

    Article  Google Scholar 

  • Gulliver, J.S. and Rindels, A.J., 1993. Measurement of air-water oxygen transfer at hydraulic structures, Journal of Hydraulic Engineering, 119(3), 327–349.

    Article  Google Scholar 

  • Hager, W.H., 1991. Uniform aerated chute flow, Journal of Hydraulic Engineering, 117(4), 528–533.

    Article  Google Scholar 

  • Hall, L.S., 1943. Entrainment of air in flowing water: a symposium: open channel flow at high velocities, Transactions of the American Society of Civil Engineers, 108(1), 1393–1434.

    Google Scholar 

  • Heller, V., 2011. Scale effects in physical hydraulic engineering models, Journal of Hydraulic Research, 49(3), 293–306.

    Article  Google Scholar 

  • Killen, J.M., 1968. The Surface Characteristics of Self-aerated Flow in Steep Channels, Ph. D. Thesis, University of Minnesota, Minneapolis, USA.

    Google Scholar 

  • Liang, B., Chen, X.P., Shao, D.C. and Cai, H., 2002. Air bubble gradation of high velocity aerated flow, Hydro-Science and Engineering, (2), 66–68. (in Chinese)

    Google Scholar 

  • Lin, B.N. and Gong, Z.Y., 1962. On some properties of aerated flow in open channels, Journal of Hydraulic Engineering, (1), 8–15. (in Chinese)

    Google Scholar 

  • Pfister, M. and Chanson, H., 2014. Two-phase air-water flows: Scale effects in physical modeling, Journal of Hydrodynamics, Ser. B, 26(2), 291–298.

    Article  Google Scholar 

  • Russell, S.O. and Sheehan, G. J., 1974. Effect of entrained air on cavitation damage, Canadian Journal of Civil Engineering, 1(1), 97–107.

    Article  Google Scholar 

  • Rutschmann, P. and Hager, W.H., 1990. Air entrainment by spillway aerators, Journal of Hydraulic Engineering, 116(6), 765–782.

    Article  Google Scholar 

  • Schultz, M.P. and Flack, K.A., 2013. Reynolds-number scaling of turbulent channel flow, Physics of Fluids, 25(2), 025104.

    Article  Google Scholar 

  • Straub, L.G. and Anderson, A.G., 1958. Experiments on self-aerated flow in open channels, Journal of the Hydraulics Division, 84(7), 1–35.

    Google Scholar 

  • Takahashi, M. and Ohtsu, I., 2012. Aerated flow characteristics of skimming flow over stepped chutes, Journal of Hydraulic Research, 50(4), 427–434.

    Article  Google Scholar 

  • Toombes, L. and Chanson, H., 2007. Surface waves and roughness in self-aerated supercritical flow, Environmental Fluid Mechanics, 7(3), 259–270.

    Article  Google Scholar 

  • Valero, D. and Bung, D.B., 2018. Reformulating self-aeration in hydraulic structures: Turbulent growth of free surface perturbations leading to air entrainment, International Journal of Multiphase Flow, 100), 127–142.

    Article  MathSciNet  Google Scholar 

  • Volkart, P., 1980. The mechanism of air bubble entrainment in selfaerated flow, International Journal of Multiphase Flow, 6(5), 411–423.

    Article  Google Scholar 

  • Wang, S.K., Lee, S.J., Jones, O.C. and Lahey, R.T., 1990. Statistical analysis of turbulent two-phase pipe flow, Journal of Fluids Engineering, 112(1), 89–95.

    Article  Google Scholar 

  • Wei, W.R., 2015. Research on Self-Aeration Characteristics in Developing Region of Open Channel Flows, Ph. D. Thesis, Sichuan University, China. (in Chinese)

    Google Scholar 

  • Wei, W.R., Deng, J. and Zhang, F.X., 2016. Development of self-aeration process for supercritical chute flows, International Journal of Multiphase Flow, 79), 172–180.

    Article  Google Scholar 

  • Wei, W.R., Deng, J., Zhang, F.X. and Tian, Z., 2015. A numerical model for air concentration distribution in self-aerated open channel flows, Journal of Hydrodynamics, Ser. B, 27(3), 394–402.

    Article  Google Scholar 

  • Wilhelms, S.C., 1997. Self-Aerated Spillway Flow, Ph. D. Thesis, University of Minnesota, Minneapolis, USA.

    Google Scholar 

  • Wilhelms, S.C. and Gulliver, J.S., 2005. Bubbles and waves description of self-aerated spillway flow, Journal of Hydraulic Research, 43(5), 522–531.

    Article  Google Scholar 

  • Wood, I.R., 1983. Uniform region of self-aerated flow, Journal of Hydraulic Engineering, 109(3), 447–461.

    Article  Google Scholar 

  • Wu, C.G., 1988. A research on self-aerated flow in open channels, Journal of Hydroelectric Engineering, (4), 23–36. (in Chinese)

    Google Scholar 

  • Wu, J.H., Su, K.P., Wang, Y. and Guo, W.J., 2017. Effect of air bubble size on cavitation erosion reduction, Science China Technological Sciences, 60(4), 523–528.

    Article  Google Scholar 

  • Xi, R.Z., 1988. Characteristics of self-aerated flow on steep chutes, Proceedings of International Symposium on Hydraulics for High Dams, IAHR, Beijing, China.

    Google Scholar 

  • Zhang, F.X., Xu, W.L., Deng, J., Gang, L. and Gao, P., 2008. Distribution of the bubble chord length and numbers in self-aerated open channel flows, Journal of Hydroelectric Engineering, 27(1), 53–57. (in Chinese)

    Google Scholar 

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Authors and Affiliations

  1. State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu, 610065, China

    Wang-ru Wei, Wei-lin Xu, Jun Deng, Zhong Tian & Fa-xing Zhang

Authors
  1. Wang-ru Wei
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  2. Wei-lin Xu
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  3. Jun Deng
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  4. Zhong Tian
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  5. Fa-xing Zhang
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Corresponding author

Correspondence to Jun Deng.

Additional information

Foundation item: This study was financially supported by the National Key Research and Development Program of China (Grant No. 2016YFC0401901) and the National Natural Science Foundation of China (Grant Nos. 51379138 and 51609162).

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Wei, Wr., Xu, Wl., Deng, J. et al. Analysis on Link Between the Macroscopic and Microscopic Air–Water Properties in Self-Aerated Flows. China Ocean Eng 32, 614–623 (2018). https://doi.org/10.1007/s13344-018-0063-4

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  • DOI: https://doi.org/10.1007/s13344-018-0063-4

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