Technical Papers
Nov 23, 2013

Simulations on Skimming Flow over a Vertical Drop Pool

Publication: Journal of Engineering Mechanics
Volume 140, Issue 7

Abstract

The installation of a drop pool in an open channel is aimed to dissipate the flow energy that diminishes the destruction of the downstream channel. Previous studies have been conducted experimentally on the hydraulic properties for flow over the pools. The numerical simulations based on the Reynolds average Navier-Stokes (RANS) equation and the renormalization group method (RNG) k-ε turbulent transport model for exploring the dynamic characteristics of the skimming flow over the vertical drop pools are presented. The simulations were conducted for a specified supercritical approaching flow on a fixed drop height H but different heights of the end sill h. The simulated results were verified by previous experimental results of the flow visualization and the measured mean velocity profiles. The numerical results show that the skimming flow will form in cases of h/H4/14 where the dropping flow slides over the pool and forms a sliding jet. The pressure tends to be negative at the leading edge of the wall corner in the vertical drop area for a low-end sill. The momentum exchange between the sliding jet and pool creates a circulation flow in the pool; the major turbulent energy dissipation occurs at the momentum exchange zone. The maximum vorticity occurs at the drop corner where the sliding jet starts. The head loss of energy decreases as h/H increases. The empirical formula of the energy loss between the approaching flows and downstream flows is presented.

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Acknowledgments

The authors are grateful to the National Science Council, Taiwan, for financial support under Grant No. NSC100-2622-E-005-001-CC1. The authors thank Dr. Wei-Jung Lin for supporting the valuable experimental images and data. The authors also thank Dr. I-Yu Wu for supporting the site picture.

References

Chamani, M. R., and Rajaratnam, N. (1999). “Characteristics of skimming flow over stepped spillways.” J. Hydraul. Eng., 361–368.
Chanson, H. (1994). Hydraulic design of stepped cascades, channels, weirs and spillways, Pergamon Press, New York.
Chen, J. Y., Yao, C. Y., and Liao, Y. Y. (2008). “Impact force on downstream bed of weir by free overfall flow.” J. Chinese Inst. Engs., 31(6), 1047–1055.
Choi, B. H., Kim, D. C., Pelinovsky, E., and Woo, S. B. (2007). “Three-dimensional simulation of tsunami run-up around conical island.” Coast. Eng., 54(8), 618–629.
Hirt, C. W., and Nichols, B. D. (1981). “Volume of fluid (VOF) method for dynamics of free boundaries.” J. Comput. Phys., 39(1), 201–225.
Juang, R. H. (2000). “Study on the characteristics of periodic oscillation downstream of plunging pool.” M.Sc. thesis, Dept. of Civil Engineering, National Chung Hsing Univ., Taichung, Taiwan.
Lin, C., Hsieh, S. C., Kuo, K. J., and Chang, K. A. (2008). “Periodic oscillation caused by a flow over a vertical drop pool.” J. Hydraul. Eng., 948–960.
Lin, C., Hwung, W. Y., Hsie, S. C., and Chang, K. A. (2007). “Experimental study on mean velocity characteristics of flow over vertical drop.” J. Hydraul. Res., 45(1), 33–42.
Lin, W. J. (2009). “Flow characteristics in skimming flow over a vertical drop pool.” Ph.D. thesis, Dept. of Civil Engineering, National Chung Hsing Univ., Taichung, Taiwan.
Lin, W. J., Lin, C., Hsieh, S. C., Li, C. C., and Raikar, R. V. (2009). “Characteristics of shear layer structure in skimming flow over a vertical drop pool.” J. Eng. Mech., 1452–1466.
Moore, W. L. (1943).“Energy loss at the base of free overfall.” Trans., ASCE, 108(1), 1343–1360.
Orszag, S. A., Staroselsky, I., Flannery, W. S., and Zhang, Y. (1996). “Introduction to renormalization group modeling of turbulence.” Simulation and modeling of turbulent flows, T. B. Gatski, M. Y. Hussaini, and J. L. Lumley, eds., Oxford University Press, New York, 155–183.
Rajaratnam, N., and Chamani, M. R. (1995). “Energy loss at drops.” J. Hydraul. Res., 33(3), 373–384.
Rand, W. (1955). “Flow geometry at straight drop spillways.” Proc., Am. Soc. Civ. Eng., 81(791), 1–13.
Rouse, H. (1936). “Discharge characteristic of the free overfall.” Civ. Eng. (N.Y.N.Y.), 6(4), 257–260.
Sabzkoohi, A. M., Kashefipour, S. M., and Bina, M. (2011). “Investigation of effective parameters on stepped and straight drops energy dissipation using physical modeling.” J. Food Agric. Environ., 9(3–4), 748–753.
Sorensen, R. M. (1985). “Stepped spillway hydraulic model investigation.” J. Hydraul. Eng., 1461–1472.
Suen, H. F. (1998). “Study on flow structure of free overfall.” M.Sc. thesis, Dept. of Civil Engineering, National Chung Hsing Univ., Taichung, Taiwan.
Takahashi, M., and Ohtsu, I. (2012). “Aerated flow characteristics of skimming flow over stepped chutes.” J. Hydraul. Res., 50(4), 427–434.
White, M. P. (1943). “Energy loss at the base of free overfall—Discussion.” Trans., ASCE, 108, 1361–1364.
Yakhot, V., and Orszag, S. A. (1986). “Renormalization-group analysis of turbulence.” Phys. Rev. Lett., 57(14), 1722–1724.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 140Issue 7July 2014

History

Received: Nov 8, 2012
Accepted: Nov 21, 2013
Published online: Nov 23, 2013
Published in print: Jul 1, 2014
Discussion open until: Jul 5, 2014

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Authors

Affiliations

Ching-Piao Tsai [email protected]
Professor, Dept. of Civil Engineering, National Chung Hsing Univ., Taichung 402, Taiwan (corresponding author). E-mail: [email protected]
Ching-Ching Yen [email protected]
Senior Assistant, Dept. of Civil Engineering, National Chung Hsing Univ., Taichung 402, Taiwan. E-mail: [email protected]
Professor, Dept. of Civil Engineering, National Chung Hsing Univ., Taichung 402, Taiwan. E-mail: [email protected]

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