Case Studies
Mar 2, 2016

Evolution of Pressure and Cavitation on Side Walls Affected by Lateral Divergence Angle and Opening of Radial Gate

Publication: Journal of Hydraulic Engineering
Volume 142, Issue 7

Abstract

High-speed diffuse flow is a commonly complex process in tunnels with full-section aerators and lateral expansion walls. The transformation of pressure is prone to produce cavitation on the lateral expansion walls downstream of an aerator. The expansion threatens the stability of the structure and can cause damage. In this paper, the diffuse flows downstream of a radial sluice and full-section aerator were studied by combining a realizable kε turbulent model with a mixture multiphase model. Hydraulic characteristics such as pressure distribution and cavitation were investigated. The relationship among pressure, cavitation index, lateral divergence angle α, and Froude number F were proposed. Empirical formulas were presented to calculate and evaluate the pressure and cavitation index on side walls. The calculated results agree well with the physical model. With decrease in divergence angle, pressure increases gradually so that the flow cavitation index increases as well. Profiles of gate openings demonstrated gradual improvement in pressure and cavitation index with an increase in the magnitude of the gate opening. The studies showed that the degree of gate opening has a great effect on the pressure and flow cavitation index of side walls. The lateral expansion and partial gate-opening increased the risk of cavitation erosion on side walls downstream of the radial sluice. Research results provided a reference for optimizing the design of similar engineering.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The Project supported by the National Natural Science Foundation of China (Grant No. 51279118) and the National Key Basic Research Program of China (973 Program, Grant No. 2013CB035905).

References

Bhajantri, M. R., Eldho, T. I., and Deolalikar, P. B. (2007). “Numerical modelling of turbulent flow through spillway with gated operation.” Int. J. Numer. Methods Eng., 72(2), 221–243.
Bhajantri, M. R., Eldho, T. I., and Deolalikar, P. B. (2008). “Numerical investigation of the effects of sluice spillway roof profiles on the hydraulic characteristics.” Int. J. Numer. Methods Fluids, 57(7), 839–859.
Broadhead, B. L., Rearden, B. T., Hopper, C. M., Wagschal, J. J., and Parks, C. V. (2004). “Sensitivity- and uncertainty-based criticality safety validation techniques.” Nucl. Sci. Eng., 146(3), 340–366.
Celik, I. B., Ghia, U., and Roache, P. J. (2008). “Procedure for estimation and reporting of uncertainty due to discretization in CFD applications.” J. Fluids Eng. Trans. ASME, 130(7), 078001–078004.
Chen, J. G., Zhang, J. M., and Wei, L. X. (2010). “Numerical simulation investigation on the energy dissipation characteristics in stilling basin of multi-horizontal submerged jets.” J. Hydrodyn., 22(5), 732–741.
Chen, Q., Dai, G., and Liu, H. (2002). “Volume of fluid model for turbulence numerical simulation of stepped spillway overflow.” J. Hydraul. Eng., 683–688.
Falvey, H. T. (1982). “Predicting cavitation in tunnel spillways.” Int. Water Power Dam Constr., 34(8), 13–15.
Falvey, H. T. (1990). “Cavitation in chutes and spillways.”, A Water Resources Technical Publication, United State Dept. of Interior, Bureau of Reclamation, Denver.
Frizsel, K. H., and Melford, B. W. (1991). “Designing spillways to prevent cavitation damage.” Concr. Int., 13(5), 58–64.
Guha, A., Barron, R. M., and Balachandar, R. (2010). “Numerical simulation of high-speed turbulent water jets in air.” J. Hydraul. Res., 48(1), 119–124.
Heller, V. (2011). “Scale effects in physical hydraulic engineering models.” J. Hydraul. Res., 49(3), 293–306.
Issa, R. I. (1986). “Solution of the implicitly discretised fluid flow equations by operator-splitting.” J. Comput. Phys., 62(1), 40–65.
Kato, H., Maeda, T., and Magaino, A. (1978). “Mechanism and scaling of cavitation erosion.” Proc., 12th ONR Symp. on Naval Hydrodynamics, Washington, DC, 452–469.
Keller, A. P., and Rott, H. K. (1997). “The effect of flow turbulence on cavitation inception.” ASME Fluids Engineering Division Summer Meeting, Vancouver, Canada.
Kermeen, R. W., McGraw, J. T., and Parkin, B. R. (1955). “Mechanism of cavitation inception and the related scale-effects problem.” Trans. ASME, 77(4), 533–541.
Kordi, E., and Abustan, I. (2011). “Transitional expanding hydraulic jump.” J. Hydraul. Eng., 105–110.
Li, G. J., Dai, G. Q., Yang, Q., and Ma, X. D. (2011). “Detached eddy simulation of hydraulic characteristics along the side-wall after a new arrangement-scheme of the sudden lateral enlargement and the vertical drop.” J. Hydrodyn. Ser. B, 23(5), 669–675.
Lu, L., Li, Y. C., Teng, B., and Chen, B. (2008). “Numerical simulation of turbulent free surface flow over obstruction.” J. Hydrodyn. Ser. B, 20(4), 414–423.
McCormick, B. W. (1962). “On cavitation produced by a vortex trailing from a lifting surface.” J. Fluids Eng., 84(3), 369–378.
Olsen, N. R., and Kjellesvig, H. M. (1998). “3-D numerical flow modeling for estimation of spillway capacity.” J. Hydraul. Res., 36(5), 775–784.
Omid, M. H., Esmaeeli Varaki, M., and Narayanan, R. (2007). “Gradually expanding hydraulic jump in a trapezoidal channel.” J. Hydraul. Res., 45(4), 512–518.
Pfister, M., and Hager, W. H. (2010). “Chute aerators. II: Hydraulic design.” J. Hydraul. Eng., 360–367.
Qian, Z., Hu, X., Huai, W., and Amador, A. (2009). “Numerical simulation and analysis of water flow over stepped spillways.” Sci. China Ser. E: Technol. Sci., 52(7), 1958–1965.
Rajasekhar, P, Santhosh, Y. V. G., and Soma Sekhar, S. (2014). “Physical and numerical model studies on cavitation phenomenon—A study on Nagarjuna Sagar spillway.” Int. J. Recent Dev. Eng. Technol., 2(1), 1–10.
Roache, P. J. (1997). “Quantification of uncertainty in computational fluid dynamics.” Annu. Rev. Fluid Mech., 29(1), 123–160.
Shih, T. H., Liou, W. W., Shabbir, A., Yang, Z., and Zhu, J. (1995). “A new k-epsilon eddy viscosity model for high Reynolds number turbulent flows: Model development and validation.” Comput. Fluids, 24(3), 227–238.
Song, C. C., and Zhou, F. (1999). “Simulation of free surface flow over spillway.” J. Hydraul. Eng., 959–967.
Wang, C. H., Hou, D. M, Li, L., and Xi, Y. (2012). “Study of shape design of the aerator with sudden lateral enlargement and vertical drop behind high-head radial gate and its engineering application.” J. Hydroelectr. Eng., 31(5), 107–113 (in Chinese).
Wu, J. H., and Ai, W. Z. (2010). “Flows through energy dissipaters with sudden reduction and sudden enlargement forms.” J. Hydrodyn. Ser. B, 22(3), 360–365.
Wu, J. H., Fan, B., and Xu, W. L. (2013). “Inverse problem of bottom slope design for aerator devices.” J. Hydrodyn. Ser. B, 25(5), 805–808.
Zhang, J. M., Chen, J. G., Xu, W. L., Wang, Y. R., and Li, G. J. (2011). “Three-dimensional numerical simulation of aerated flows downstream sudden fall aerator expansion-in a tunnel.” J. Hydrodyn. Ser. B, 23(1), 71–80.
Zhang, J. M., Xu, W. L., Wang, W., and Liu, S. J. (2010). “Cavitation damage to sidewalls in a sand flushing tunnel under high head.” J. Hydroelectr. Eng., 29(5), 197–201 (in Chinese).

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 142Issue 7July 2016

History

Received: Jul 31, 2014
Accepted: Nov 6, 2015
Published online: Mar 2, 2016
Published in print: Jul 1, 2016
Discussion open until: Aug 2, 2016

Permissions

Request permissions for this article.

Authors

Affiliations

Shuai Li, Ph.D. [email protected]
Institute of Mountain Hazards and Environment, Chinese Academy of Sciences, Chengdu 610041, China; State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan Univ., Chengdu 610065, China. E-mail: [email protected]
Jian-min Zhang [email protected]
Professor, State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan Univ., Chengdu 610065, China (corresponding author). E-mail: [email protected]
Professor, State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan Univ., Chengdu 610065, China. E-mail: [email protected]
Jian-gang Chen [email protected]
Assistant Professor, Institute of Mountain Hazards and Environment, CAS, Chengdu 610041, China. E-mail: [email protected]
Associate Professor, State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan Univ., Chengdu 610065, China. E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share