Discussion of “Transverse Nonuniformity of Air–Water Flow and Lateral Wall Effects in Quasi-Two-Dimensional Hydraulic Jump”
This article is a reply.
VIEW THE ORIGINAL ARTICLEPublication: Journal of Irrigation and Drainage Engineering
Volume 149, Issue 4
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
H.C. acknowledges earlier helpful exchanges with Professor Oscar Castro-Orgaz, Dr. Carlos Gonzalez, and Dr. Gangfu Zhang. The discussers further acknowledge some fruitful exchanges with Professor Hang Wang.
References
Ceccio, S. L. 2010. “Friction drag reduction of external flows with bubble and gas injection.” Annu. Rev. Fluid Mech. 42 (Apr): 183–203. https://doi.org/10.1146/annurev-fluid-121108-145504.
Chanson, H. 1989. “Flow downstream of an aerator. Aerator spacing.” J. Hydraul. Res. 27 (4): 519–536. https://doi.org/10.1080/00221688909499127.
Chanson, H. 1994. “Drag reduction in open channel flow by aeration and suspended load.” J. Hydraul. Res. 32 (1): 87–101. https://doi.org/10.1080/00221689409498791.
Chanson, H. 2007. “Bubbly flow structure in hydraulic jump.” Eur. J. Mech. B. Fluids 26 (3): 367–384. https://doi.org/10.1016/j.euromechflu.2006.08.001.
Chanson, H. 2020. “On velocity estimations in highly aerated flows with dual-tip phase-detection probes—A commentary.” Int. J. Multiphase Flow 132 (5): 103330. https://doi.org/10.1016/j.ijmultiphaseflow.2020.103330.
Crowe, C., M. Sommerfield, and Y. Tsuji. 1998. Multiphase flows with droplets and particles. London: CRC Press.
Hoyt, J. W., and R. H. J. Sellin. 1989. “Hydraulic jump as ‘mixing layer.’” J. Hydraul. Eng. 115 (12): 1607–1614. https://doi.org/10.1061/(ASCE)0733-9429(1989)115:12(1607).
Kipphan, H. 1977. “Bestimmung von Transportkenngrößen bei Mehrphasenströmungen mit Hilfe der Korrelationsmeßtechnik.” Chem. Ing. Tech. 49 (9): 695–707. https://doi.org/10.1002/cite.330490904.
Kipphan, H., and F. Mesch. 1978. “Flow measurements using transit time correlation.” In Flow measurements of fluids, 409–416. Amsterdam, Netherlands: North Holand Publications.
Kramer, M., and D. Valero. 2020. “Turbulence and self-similarity in highly aerated shear flows: The stable hydraulic jump.” Int. J. Multiphase Flow 129 (5): 103316. https://doi.org/10.1016/j.ijmultiphaseflow.2020.103316.
Kramer, M., D. Valero, H. Chanson, and D. B. Bung. 2019. “Towards reliable turbulence estimations with phase-detection probes: An adaptive window cross-correlation technique.” Exp. Fluids 60 (1): 2. https://doi.org/10.1007/s00348-018-2650-9.
Lohse, D. 2018. “Bubble puzzles: From fundamentals to applications.” Phys. Rev. Fluids 3 (42): 110504. https://doi.org/10.2469-990X/2018/3(11)/110504(42)).
Long, D., N. Rajaratnam, P. M. Steffler, and P. R. Smy. 1991. “Structure of flow in hydraulic jumps.” J. Hydraul. Res. 29 (2): 207–218. https://doi.org/10.1080/00221689109499004.
Lu, J., and G. Tryggvason. 2008. “Effect of bubble deformability in turbulent bubbly upflow in a vertical channel.” Phys. Fluids 20 (6): 040701. https://doi.org/10.1063/1.2911034.
Lumley, J. L. 1977. “Drag reduction in two phase and polymer flows.” Phys. Fluids 20 (10): 64–71. https://doi.org/10.1063/1.861760.
Madavan, N. K., S. Deutsch, and C. L. Merkle. 1984. “Reduction of turbulent skin friction by microbubbles.” Phys. Fluids 27 (2): 356–363. https://doi.org/10.1063/1.864620.
Marie, J. L., E. Moursali, and M. Lance. 1991. “A first investigation of a bubbly boundary layer on a flat plate: Phase distribution and wall shear stress measurements.” In Proc., 1st ASME-JSME Fluids Eng. Conf., Turbulence Modification in Multiphase Flows 1991, 75–80. New York: ASME.
Marié, J. L. 1987a. “A simple analytical formulation for microbubble drag reduction.” Phys. Chem. Hydrodyn. 8 (2): 213–220.
Marié, J. L. 1987b. “Modelling of the skin friction and heat transfer in turbulence two-component bubbly flows in pipes.” Int. J. Multiphase Flow 13 (3): 309–325. https://doi.org/10.1016/0301-9322(87)90051-6.
Moursali, E., J. L. Marié, and J. Bataille. 1995. “An upward turbulent bubbly boundary layer along a vertical flat plate.” Int. J. Multiphase Flow 21 (1): 107–117. https://doi.org/10.1016/0301-9322(94)00059-S.
Murai, Y. 2014. “Frictional drag reduction by bubble injection.” Exp. Fluids 55 (3): 1–28. https://doi.org/10.1007/s00348-014-1773-x.
Sato, Y., M. Sadatomi, and K. Sekoguchi. 1981. “Momentum and heat transfer in two-phase bubbly flow—II. A comparison between experimental data and theoretical calculations.” Int. J. Multiphase Flow 7 (5): 179–190. https://doi.org/10.1016/0301-9322(81)90004-5.
Serizawa, A., I. Kataoka, and I. Michiyoshi. 1975. “Turbulence structure of air-water bubbly flows—II. Local properties.” Int. J. Multiphase Flow 2 (3): 235–246. https://doi.org/10.1016/0301-9322(75)90012-9.
Wüthrich, D., R. Shi, and H. Chanson. 2022. “Hydraulic jumps with low inflow Froude numbers: Air–water surface patterns and transverse distributions of two-phase flow properties.” Environ. Fluid Mech. 22 (4): 789–818. https://doi.org/10.1007/s10652-022-09854-5.
Wüthrich, D., R. Shi, H. Wang, and H. Chanson. 2020. “Three-dimensional air-water flow properties of a hydraulic jump with low Froude numbers and relatively high Reynolds numbers.” In Proc., 8th IAHR Int. Symp. on Hydraulic Structures, edited by R. Janssen and H. Chanson. Brisbane, Australia: Univ. of Queensland. https://doi.org/10.14264/uql.2020.583.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 149 • Issue 4 • April 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Sep 5, 2022
Accepted: Nov 7, 2022
Published online: Feb 7, 2023
Published in print: Apr 1, 2023
Discussion open until: Jul 7, 2023
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.