7- مراجع
[1] A. Attarzadeh, A.R. Zarrati, A. Shanehsazzadeh, Flow Condition at Sudden Slope Change of Chutes, Modares Civil Engineering, Vol. 12, No. 1, pp. 81-90, 2012. (in Persianفارسی )
[2] C. Chafi A. Hazzab, Study of flow and energy dissipation in spillways, Journal of Civil Engineering, Vol. 4, No. 1, pp.78-88, 2010.
[3] I. Meireles, J. Matos, Skimming flow in the non aerated region of stepped spillways over embankment dams, Journal of Hydraulic Engineering, Vol. 135, No. 8, pp. 685-689, 2009.
[4] C. Gonzalez, H. Chanson, Hydraulic design of stepped spillways and downstream energy dissipators for embankment dams, Journal of Dam Engineering, Vol. 17, No. 4, pp. 223–244, 2007.
[5] S. Ghafari, A. Eghbalzadeh, M. Javan, Numerical study of the effect of upstream Froude number on the flow characteristics along a rectangular sharp-crested side weir, Modares Civil Engineering, Vol. 16, No. 2, pp. 215-228, 2016. (in Persianفارسی )
[6] S.R. Sabbagh-Yazdi, H. Rezaei-Manizani, Using depth average flow solver of NASIR finite volume software for modeling air entrainment from water surface in chute flow, Modares Civil Engineering, Vol. 12, No. 1, pp. 33-45, 2012. (in Persianفارسی )
[7] Q. Chen, D. Guang-qing, Three-dimensional turbulence numerical simulation of a stepped spillway overflow, Journal of Hydrodynamics, Vol. 16, No. 1, pp. 74-79, 2004.
[8] M. Azhdari Moghadam, E. Jafari Nadoushan, Hydraulic design of a trapezoidal labyrinth spillway using computational hydrodynamics, Modares Civil Engineering, Vol. 13, No. 3, pp. 123-134, 2012. (in Persianفارسی )
[9] M. Farhoudi, A. Salehi Neyshabouri, A. Safarzade, Two-phase numerical simulation of flow pattern in three-sided spillways, considering scale effect, Modares Civil Engineering, Vol. 16, No. 4, pp. 247-258, 2016. (in Persianفارسی )
[10] A. Daramizadeh, M. Ansari, 2-D numerical simulation of underwater explosion near free surface of shallow water, Modares Mechanical Engineering, Vol. 13, No. 5, pp. 39-48, 2013. (in Persianفارسی )
[11] M. Bonizzi, R. Issa, A model for simulating gas bubble entrainment in two-phase horizontal slug flow, International Journal of Multiphase Flow, Vol. 29, No. 5, pp. 1685-1717, 2003.
[12] M. Emamzadeh, R. I. Issa, One-dimensional model for numerical simulation of annular flow in horizontal and vertical pipes, Multiphase Science and Technology, Vol. 25, No. 1, pp. 25–56, 2013.
[13] G. Cerne, S. Petelin, I. Tiselj, Coupling of the interface tracking and the two-fluid models for the simulation of incompressible two-phase flow, Journal of Computational Physics, Vol. 171, No. 2, pp. 776–804, 2001.
[14] Y. S. Olabanji, K. E. Wardle, Numerical investigation of vertical plunging jet using a hybrid multifluid–VOF multiphase CFD solver, International Journal of Chemical Engineering, Vol. 34, No. 3, pp. 125-139, 2015.
[15] K. Yan, C. Defu, A coupled model for simulation of the gas–liquid two-phase flow with complex flow patterns, International Journal of Multiphase Flow, Vol. 36, No. 4, pp. 333–348, 2010.
[16] M. R. Ansari, M. Esmailpour, Comparison of the VOF and the two-fluid models for the numerical simulation of aeration and non aeration stepped spillway, Modares Mechanical Engineering, Vol. 17, No. 11, under press, 2017. (in Persianفارسی )
[17] M. Zeynalabedini, M. R. Ansari, Numerical modeling of air bubbles entrainment in liquid slug body at Horizaontal duct, Modares Mechanical Engineering, Vol. 17, No. 4, pp. 177-187, 2017. (in Persianفارسی )
[18] F. Tocci, Assessment of a Hybrid VOF Two-Fluid CFD Solver for Simulation of Gas-Liquid Flows in Vertical Pipelines in OpenFOAM, PhD Thesis, Polytechnic University of Milan, Italy, 2015.
[19] M. Zeynalabedini, M. R. Ansari, Evaluation of the slug flow parameters in a horizontal two-dimensional duct, Modares Mechanical Engineering, Vol. 17, No. 4, pp. 349-358, 2017. (in Persianفارسی )
[20] Z. Qian, X. Hu, W. Huai, A. Amador, Numerical simulation and analysis of water flow over stepped spillways, Science China Technological Sciences, Vol. 52, No. 7, pp. 1958–1965, 2009.