Investigation of Hydraulic Jump Turbulence Parameters in Divergent Rectangular Sections using Fluent Model

Document Type : Research Paper

Author

Assistant Professor, Department of Water Engineering, University of Mohaghegh Ardabili.

Abstract

A Stilling basin with divergent section has better performance and lower constructional costs than the classic basin. It can easily adapt itself to the upstream and downstream conditions in terms of depths and cross sections (Omid et al., 2007). Khalifa and McCorquodale (1979) studied radial hydraulic jumps in a gradually expanding channel of rectangular cross section and developed a theoretical equation assuming a second degree polynomial for the surface profile. Omid et al. (2007) studied the hydraulic jump formed in a gradually expanding stilling basin of trapezoidal cross section. They also investigated the hydraulic jumps for three different basin side slopes. Their experimental results indicated that the divergence of the basin for a given side slope causes reductions in the sequent depth and jump length, and an increase of the energy loss in  jump relative to those observed in rectangular cross sections. Sahebi (2013) simulated a divergent hydraulic jump in rectangular basins using standard and RNG turbulence models. The outputs of the numerical model showed that the standard turbulence model evaluated the free surface of flow, jump length and maximum velocity in defined sections better than RNG turbulence model. In this study, for seven Froude numbers in the range of 3.2-9.1, three models of the divergent basins were numerically simulated at three dimensional conditions with various geometries of divergence angle and wall type. The k-ε RNG and RSM models were used for turbulence analysis and volume of fluid (VOF) model was used for simulating of free surface profile in the Fluent model. Also, vertical distributions of turbulence intensity, Reynolds stresses and turbulent kinetic energy were investigated using the RSM model in various sections of the hydraulic jumps.

Keywords

Main Subjects


1-    Anonymous, 2006. Fluent 6.2 user’s guide. Fluent Inc group.
 
2-    Arbhabhirama, A.N.A.T. and Abella, A.U., 1971. Hydraulic jump within gradually expanding channel. Journal of the Hydraulics Division, 97(1), pp.31-42.
 
3-    Bremen, R. and Hager, W.H., 1993. T-jump in abruptly expanding channel. Journal of Hydraulic Research31(1), pp.61-78.
 
4-    Bakhtiari, M. and Kashefipour, S.M., 2008. Investigation of hydraulic jump characteristics in divergent sections. In 4th National Civil Conference, University of Tehran, Tehran, Iran. (In Persian).
5-    Bakhtiari, M., Kashefipour, S.M. and Shafaei Bajestan, M., 2014. Experimental investigation of hydraulic jump characteristics in divergent rectangular stilling basins. In 4th National Management of Irrigation and Drainage Networks Conference, Shahid Chamran University of Ahvaz, Ahvaz, Iran. (In Persian).
 
6-    Esmaeeli Varaki, M. 2003. Study of divergent hydraulic jump characteristics in trapezoidal stilling basin. MSc. thesis, Department of Water Engineering, Faculty of engineering and agriculture technology, University of Tehran, Karaj, Iran. (In Persian).
 
7-    Kasi, A., Farhoudi, J. and Esmaeeli Varaki, M., 2011. Theoretical and experimental study of divergent hydraulic jump with diverse slope. Iranian Water Research Journal, 9, pp.121-130. (In Persian).
 
8-    Khalifa, A.M. and Mccorquodale, J.A., 1979. Radial hydraulic jump. Journal of the Hydraulics Division105(9), pp.1065-1078.
 
9-    Mosavi Khandan, A., Borgheie, M. and Daemi, A., 2001. Scour profile properties in downstream of divergent stilling basins. In 3th National Hydraulic Conference, University of Tehran, Tehran, Iran.
 
10- Omid, M.H. and Esmaeeli Varaki, M., 2005. Theoretical and experimental study of divergent hydraulic jump in trapezoidal sections.Journal of Science and Technology of Agriculture and Natural Resources, 9(2), pp.17-29. (In Persian).
 
11- Omid, M.H., Esmaeeli Varaki, M. and Narayanan, R., 2007. Gradually expanding hydraulic jump in a trapezoidal channel. Journal of Hydraulic Research45(4), pp.512-518.
 
12- Posey, C.J. and Hsing, P.S., 1938. Hydraulic jump in trapezoidal channel. Engineering News Record121(26), pp.797-798.
 
13- Sadeghi, H., 2013. Effect of wall shape on hydraulic jump in open- channels transitions. MSc. thesis, Department of Civil Engineering, Faculty of Technology and Engineering, Islamic Azad University, Branch of Maragheh, Maragheh, Iran. (In Persian).
 
14- Sahebi, F., 2013. Comparison of k-ε turbulence models in simulation of hydraulic jump in divergent rectangular sections using Fluent software. MSc. thesis, Department of Water Engineering, Faculty of Agriculture, University of Tabriz, Tabriz, Iran. (In Persian).
 
15- Sahebi, F., Esmaeeli Varaki, M., Navabian, M. and Amiri, Z., 2012. Economic evaluation of stilling basin walls divergence effect on construction costs changes. In 11th National Hydraulic Conference, University of Urmia, Urmia, Iran.
 
16- Shojaeian, Z., Hosseinzadeh Dalir, A., Farsadizadeh, D. and Salmasi, F., 2011. Investigation of hydraulic jump characteristics in divergent rectangular sections with adverse slope. Water and Soil Science, 3(21), pp.49-60. (In Persian).
Volume 41, Issue 2
June 2018
Pages 61-75
  • Receive Date: 04 August 2016
  • Revise Date: 27 November 2016
  • Accept Date: 10 December 2016
  • Publish Date: 22 June 2018