Abstract
Spillways with breast walls are often used in such situations as increasing the regulating storage of flood discharge or disposing sediment from the reservoirs, etc. The hydraulic characteristics of the spillways with breast walls can be obtained by experimental, analytical and numerical methods. The aim of this study is to predict some characteristics of flow through the spillway with a breast wall with low and average-head operation using the numerical modeling along with some turbulence closure models. The experimental data were used to validate the numerical predictions. The results show that the RNG k-ε and the standard k-ε turbulence models can predict quite precisely some characteristics, such as the water surface, the discharge, and the vertical pressure distribution in comparison with the measured data. However, some errors occur on this pressure in the region nearby the crest boundary. Furthermore, the RNG k-ε turbulence model performed more accurately than the standard k-ε model as compared to the experimental data. Therefore, the RNG k-ε turbulence model uses to properly validate the characteristics of the flow through spillway with a breast wall under various conditions, without recourse to expensive experimental procedures.
Similar content being viewed by others
References
Ali, M. S. M., J. Doolan, C., and Wheatley, V. (2009). “Grid convergence study for a two-dimensional simulation of flow around square cylinder at a low Reynolds number.” Proc., 7 th International Conference on CFD in the Minerals and Process Industries, CSIRO, Melbourne, Australia, pp. 1–6.
Ansar, M. and Chen, Z. (2009). “Generalized flow rating equations at prototype gated spillways.” Journal of Hydraulic Engineering, Vol. 135, No. 7, pp. 602–608, DOI: 10.1061/(asce)0733-9429(2009)135:7(602).
Aydin, M. C. and Ozturk, M. (2009). “Verification and validation of a Computational Fluid Dynamics (CFD) model for air entrainment at spillway aerators.” Canadian journal of Civil Engineering, Vol. 36, No. 5, pp. 826–836, DOI: 10.1139/l09-017.
Bhajantri, M. R., Eldho, T. I., and Deolalikar, P. B. (2007). “Numerical modelling of turbulent flow through spillway with gated operation.” International Journal for Numerical Methods in Engineering, Vol. 72, No. 2, pp. 221–243, DOI: 10.1002/nme.2016.
Bhosekar, V., Jothiprakash, V., and Deolalikar, P. (2011). “Orifice spillway aerator: Hydraulic design.” Journal of Hydraulic Engineering, Vol. 138, No. 6, pp. 563–572, DOI: 10.1061/(asce)hy.1943-7900.0000548.
Chanel, P. G. and Doering, J. C. (2008). “Assessment of spillway modeling using computational fluid dynamics.” Canadian Journal of Civil Engineering, Vol. 35, No. 12, pp. 1481–1485, DOI: 10.1139/l08-094.
Dewals, B. J., Erpicum, S., Archambeau, P., Detrembleur, S., and Pirotton, M. (2006). “Depth-integrated flow modelling taking into account bottom curvature.” Journal of Hydraulic Research, Vol. 44, No. 6, pp. 785–795, DOI: 10.1080/00221686.2006.9521729.
Ferziger, J. H. and Peri, M. (2002). Computational method for fluid dynamcis, Springer-Verlag Berlin Heidelberg, New York.
Flow Science (2010). User manual V.10, Los Alamos, NM.
Hirt, C. W. and Nichols, B. D. (1981). “Volume of Fluid (VOF) method for the dynamics of free boundaries.” Journal of Computational Physics, Vol. 39, No. 1, pp. 201–225, DOI: 10.1016/0021-9991(81)90145-5.
Khatsuria, R. M. (2005). Hydraulics of spillways and energy dissipators, Marcel Dekker, 270 Madison Avenue, New York.
Kim, D. and Park, J. (2005). “Analysis of flow structure over ogeespillway in consideration of scale and roughness effects by using CFD model.” KSCE Journal of Civil Engineering, Vol. 9, No. 2, pp. 161–169, DOI: 10.1007/bf02829067.
Launder, B. E. and Spalding, D. B. (1974). “The numerical computation of turbulent flows.” Computer Methods in Applied Mechanics and Engineering, Vol. 3, No. 2, pp. 269–289, DOI: 10.1016/0045-7825(74)90029-2.
Novak, P., Guinot, V., Jeffrey, A., and Reeve, D. E. (2010). Hydraulic modeling-an introduction (1st ed.), Spon Press, New York.
Roache, P. J. (1997). “Quantification of uncertainty in computational fluid dynamics.” Annual review of Fluid Mechanics, Vol. 29, pp. 123–160, DOI: 10.1146/annurev.fluid.29.1.123.
Sankaranarayanan, S. and Rao, H. S. (1996). “Finite element analysis of free surface flow through gates.” International Journal for Numerical Methods in Fluids, Vol. 22, No. 5, pp. 375–392, DOI: 10.1002/(sici)1097-0363(19960315)22:5.
Savage, B. and Johnson, M. (2001). “Flow over ogee spillway: Physical and numerical model case study.” Journal of Hydraulic Engineering, Vol. 127, No. 8, pp. 640–649, DOI: 10.1061/(asce)0733-9429(2001)127:8(640).
Tadayon, R. and Ramamurthy, A. (2009). “Turbulence modeling of flows over circular spillways.” Journal of Irrigation and Drainage Engineering, Vol. 135, No. 4, pp. 493–498, DOI: 10.1061/(asce)ir.1943-4774.0000012.
The State Economic and Trade Commission, C. (2003). Design specification for River-bank spillway (DL/T 5166-2002), China Electric Power Press.
USACE (1992). EM 1110-2-1603 Hydraulic design of spillway, Washington DC.
USBR (1987). Design of small dams (3rd ed.), United States Department of the Interior.
Wilcox, D. C. (2007). Turbulence modeling for CFD (3rd ed.), DCW Industries Inc, California.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Thanh, N.C., Ling-Ling, W. Physical and numerical model of flow through the spillways with a breast wall. KSCE J Civ Eng 19, 2317–2324 (2015). https://doi.org/10.1007/s12205-015-0742-0
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12205-015-0742-0