Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2017, Article ID 3537026, 9 pages
https://doi.org/10.1155/2017/3537026
Research Article

Comparison of Different Turbulence Models for Numerical Simulation of Pressure Distribution in V-Shaped Stepped Spillway

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

Correspondence should be addressed to Jianmin Zhang; nc.ude.ucs@nimnaijgnahz

Received 23 March 2017; Accepted 1 August 2017; Published 7 September 2017

Academic Editor: Alistair Borthwick

Copyright © 2017 Zhaoliang Bai and Jianmin Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. Amador, M. Sánchez-Juny, and J. Dolz, “Characterization of the nonaerated flow region in a stepped spillway by PIV,” Journal of Fluids Engineering, vol. 128, no. 6, pp. 1266–1273, 2006. View at Publisher · View at Google Scholar · View at Scopus
  2. Q. Chen, G. Dai, and H. Liu, “Volume of fluid model for turbulence numerical simulation of stepped spillway overflow,” Journal of Hydraulic Engineering, vol. 128, no. 7, pp. 683–688, 2002. View at Publisher · View at Google Scholar · View at Scopus
  3. R. M. Sorensen, “Stepped spillway hydraulic model investigation,” Journal of Hydraulic Engineering, vol. 111, no. 12, pp. 1461–1472, 1985. View at Publisher · View at Google Scholar · View at Scopus
  4. S. Terrier, M. Pfister, and A. J. Schleiss, “Comparison of chute aerator effect on stepped and smooth spillways,” in Proceedings of the 36th IAHR World Congress, vol. 15, pp. 1–5, Hague, The Netherlands, 2015.
  5. E. Aras and M. Berkun, “Comparison of stepped and smooth spillway effects on stream reaeration,” Journal of Water SA, vol. 36, no. 3, pp. 309–314, 2010. View at Google Scholar · View at Scopus
  6. M. E. Emiroglu and A. Baylar, “An investigation of effect of stepped chutes with end sill on aeration performance,” Water Quality Research Journal of Canada, vol. 38, no. 3, pp. 527–539, 2003. View at Google Scholar · View at Scopus
  7. H. Chanson, “Historical development of stepped cascades for the dissipation of hydraulic energy,” Trans. Newcomen Soc, vol. 72, no. 2, pp. 295–318, 2001. View at Google Scholar
  8. H. Chanson and L. Toombes, “Energy dissipation and air entrainment in stepped storm waterway: Experimental study,” Journal of Irrigation and Drainage Engineering, vol. 128, no. 5, pp. 305–315, 2002. View at Publisher · View at Google Scholar · View at Scopus
  9. N. O. S. Alghazali and S. M. Jasim, “Experimental study on the limits of flow regimes for different configurations of stepped spillway,” Civil Environmental Research, vol. 6, no. 6, pp. 30–39, 2014. View at Google Scholar
  10. O. Kisi, M. E. Emiroglu, and A. Baylar, “Flow regime prediction in stepped channels using neural computing technique,” The International Journal of Science & Technology, vol. 3, no. 1, pp. 109–121, 2008. View at Google Scholar
  11. Z. C. Zhang, D. Y. Zeng, and A. M. Zheng, “Experimental investigation on the pressure characteristics of skimming flow on stepped chutes,” Journal of Hydrodynamics, vol. 18, no. 5, pp. 652–659, 2003. View at Google Scholar
  12. U. Fratino, M. Sánchez-Juny, B. Valenzano, and M. Sánchez-Juny, “Air inception and pressure fields in transition flow regime over a stepped spillway,” XXX IAHR Congress.
  13. M. Sánchez-Juny, E. Bladé, and J. Dolz, “Analysis of pressures on a stepped spillway,” Journal of Hydraulic Research, vol. 46, no. 3, pp. 410–414, 2008. View at Publisher · View at Google Scholar · View at Scopus
  14. M. Sánchez-Juny, E. Bladé, and J. Dolz, “Pressures on a stepped spillway,” Journal of Hydraulic Research, vol. 45, no. 4, pp. 505–511, 2007. View at Publisher · View at Google Scholar · View at Scopus
  15. A. Amador, M. Sánchez-Juny, and J. Dolz, “Developing flow region and pressure fluctuations on steeply sloping stepped spillways,” Journal of Hydraulic Engineering, vol. 135, no. 12, pp. 1092–1100, 2009. View at Publisher · View at Google Scholar · View at Scopus
  16. J. M. Zhang, J. G. Chen, and Y. R. Wang, “Experimental study on time-averaged pressures in stepped spillway,” Journal of Hydraulic Research, vol. 50, no. 2, pp. 236–240, 2012. View at Publisher · View at Google Scholar · View at Scopus
  17. A. I. Dhatrak and S. P. Tatewar, “Air entrainment and pressure fields over stepped spillway in skimming flow regime,” Journal of Power and Energy Engineering, vol. 2, no. 4, pp. 53–57, 2014. View at Publisher · View at Google Scholar
  18. Z. D. Qian, X. Q. Hu, W. X. Huai, and A. António, “Numerical simulation and analysis of water flow over stepped spillways,” Science China Technological Sciences, vol. 52, no. 7, pp. 1958–1965, 2009. View at Publisher · View at Google Scholar · View at Scopus
  19. B. Chakib, “Numerical Computation of inception point location for flat-sloped stepped spillway,” in Proceeding of the ASME 2013 Heat Transfer Summer Conference Collocated with the ASME 2013, International Conference on Energy Sustainability and the ASME 2013, International Conference on Fuel Cell Science, Engineering and Technology, vol. 2, 2013.
  20. R. Daneshfaraz, A. R. Joudi, A. Ghahramanzadeh, and A. Ghaderi, “Investigation of flow pressure distribution over a stepped spillway,” Advances and Applications in Fluid Mechanics, vol. 19, no. 4, pp. 811–822, 2016. View at Publisher · View at Google Scholar · View at Scopus
  21. C. W. Hirt and B. D. Nichols, “Volume of fluid (VOF) method for the dynamics of free boundaries,” Journal of Computational Physics, vol. 39, no. 1, pp. 201–225, 1981. View at Publisher · View at Google Scholar · View at Scopus
  22. B. E. Launder and D. B. Spalding, Lectures in mathematical models of turbulence, Academic Press, London, UK, 1972.
  23. V. Yakhot and S. A. Orszag, “Renormalization group analysis of turbulence. I. basic theory,” Journal of Scientific Computing, vol. 1, no. 1, pp. 1–51, 1986. View at Publisher · View at Google Scholar · View at MathSciNet
  24. T.-H. Shih, W. W. Liou, A. Shabbir, Z. Yang, and J. Zhu, “A new k-ε eddy viscosity model for high reynolds number turbulent flows,” Computers and Fluids, vol. 24, no. 3, pp. 227–238, 1995. View at Publisher · View at Google Scholar · View at Scopus
  25. D. C. Wilcox, Turbulence Modeling for CFD, DCW Industries, Inc, La Canada, Calif, USA, 1993.
  26. F. R. Menter, “Two-equation eddy-viscosity turbulence models for engineering applications,” AIAA Journal, vol. 32, no. 8, pp. 1598–1605, 1994. View at Publisher · View at Google Scholar · View at Scopus