Abstract
This study presents a numerical investigation and prediction of the flow field in threedimensional submerged hydraulic jumps. The volume of fluid (VOF) method is used to simulate the free surface. The turbulent structure is simulated by using different turbulence models, such as the standard k–ε model, RNG k–ε model, realizable k–ε model, and Reynolds-stress model (RSM) closure schemes. The capabilities of the turbulence models are investigated with the standard wall functions and enhanced wall treatment methods. A comparison between the numerical and experimental results shows that the numerical model is adequate for predicting the flow pattern and free surface of submerged hydraulic jumps. The RNG k–ε turbulence model with the enhanced wall treatment method ensures the highest accuracy in the water surface simulation. Near the channel bed of a fully developed region, the RSM model with the enhanced wall treatment method shows better agreement with the experimental longitudinal velocity than the other turbulence models. The standard k–ε model predicts the longitudinal velocity more accurately than the RNG and realizable k–ε models.
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References
D. Long, P. M. Steffler, N. Rajaratnam, and P. Smy, “Structure of Flow in Hydraulic Jumps,” J. Hydraul. Res. 29 (2), 207–218 (1990).
M. Liu, N. Rajaratnam, and D. Zhu, “Turbulence Structure of Hydraulic Jumps of Low Froude Numbers,” J. Hydraul. Eng. Proc. ASCE 130, 511–520 (2004).
J. A. McCorquodale, “Hydraulic Jumps and Internal Flows,” in Encyclopedia of Fluid Mechanics, Ed. by N. P. Cheremisinoff (Gulf, Houston, 1986), Vol. 2, Chapter 6, pp. 120–173.
H. Rouse, T. T. Siao, and S. Nagaratnam, “Turbulence Characteristics of the Hydraulic Jumps,” J. Hydraul. Div. Proc. ASCE 84 (1), 1–30 (1958).
I. A. Svendsen, J. Veeramony, J. Bakunin, and J. T. Kirby, “The Flow in Weak Turbulent Hydraulic Jump,” J. Fluid Mech. 418, 25–57 (2000).
N. S. G. Rao and N. Rajaratnam, “The Submerged Hydraulic Jump,” J. Hydraul. Div. Proc. ASCE 89 (HY1), 139–162 (1963).
N. Rajaratnam, “The Hydraulic Jump as a Wall Jet,” J. Hydraul. Div. Proc. ASCE 91 (5), 107–132 (1965).
S. Wu and N. Rajaratnam, “Free Jumps, Submerged Jumps and Wall Jets,” J. Hydraul. Res. 33 (2), 197–212 (1995).
D. Long, P. M. Steffler, and N. Rajaratnam, “LDA Study of Flow Structure in Submerged Hydraulic Jumps,” J. Hydraul. Res. 28 (4), 437–460 (1990).
I. Ohtsu, Y. Yasuda, and M. Ishikawa, “Submerged Hydraulic Jumps Below Abrupt Expansions,” J. Hydraul. Eng. Proc. ASCE 125 (5), 492–499 (1999).
S. Dey and A. Sarkar, “Characteristics of Turbulent Flow in Submerged Jumps on Rough Beds,” J. Eng. Mech. Proc. ASCE 134 (1), 49–59 (2008).
D. Long, P. M. Steffler, and N. Rajaratnam, “A Numerical Study of Submerged Hydraulic Jumps,” J. Hydraul. Res. 29 (3), 293–308 (1991).
A. M. Gharangik and M. H. Chaudhry, “Numerical Model of Hydraulic Jump,” J. Hydraul. Eng. Proc. ASCE 117, 1195–1209 (1991).
S. Chippada, B. Ramaswamy, and M. F. Wheeler, “Numerical Simulation of Hydraulic Jump,” Int. J. Numer. Methods Engng. 37, 1381–1397 (1994).
F. Ma, Y. Hou, and P. Prinos, “Numerical Calculation of Submerged Hydraulic Jump,” J. Hydraul. Res. 39 (5), 1–11 (2002).
C. W. Hirt and B. D. Nicholls, “Volume of Fluid (VOF) Method for Dynamics of Free Boundaries,” J. Comput. Phys. 39, 201–221 (1981).
M. A. Sarker and D. G. Rhodes, “PhysicalModeling and CFD Applied to Hydraulic Jumps,” Report of Cranfield Univ. (2002).
Q. Zhao, S. K. Misra, S. Svendsen, and I. Kirby, “Numerical Study of a Turbulent Hydraulic Jump,” in Proc. of 17th Eng. Mech. Conf. (Univ. of Delaware, New York, 2004).
A. Gonzalez and F. Bombardelli, “Two-Phase Flow Theory and Numerical Models for Hydraulic Jumps, Including Air Entrainment,” in Proc. of the 31st IAHR Congress (Seoul, Korea, 2005).
B. E. Launder and D. B. Spalding, “The Numerical Computation of Turbulent Flows,” Comput. Methods Appl. Mech. Eng. 3, 269–289 (1974).
H. C. Chen and V. C. Patel, “Near-Wall Turbulence Models for Complex Flows Including Separation,” AIAA J. 26 (6), 641–648 (1988).
T. Jongen, “Simulation and Modeling of Turbulent Incompressible Flows,” Thesis Ph.D. (Lausanne, 1992).
B. Kader, “Temperature and Concentration Profiles in Fully Turbulent Boundary Layers,” Int. J.Heat Mass Transfer 24 (9), 1541–1544 (1981).
M. Wolfstein, “The Velocity and Temperature Distribution of One-Dimensional Flow with Turbulence Augmentation and Pressure Gradient,” Int. J. Heat Mass Transfer 12, 301–318 (1969).
T. H. Shih and J. L. Lumley, “Kolmogorov Behavior of Near-Wall Turbulence and its Application in Turbulence Modeling,” Int. J. Comput. Fluid Dyn. 1 (1), 43–56 (1993).
H. D. Pasinato, “Some Results Based on Near-Wall Turbulence,” Int. J. Comput. Fluid Dyn. 14 (2), 159–169 (2000).
J. Y. Kim, A. J. Ghajar, C. Tang, and G. L. Foutch, “Comparison of Near-Wall Treatment Methods for High Reynolds Number Backward-Facing Step Flow,” Int. J. Comput. Fluid Dyn. 19 (7), 493–500 (2005).
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Original Russian Text © Y. Shekari, M. Javan, A. Eghbalzadeh.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 56, No. 3, pp. 128–138, May–June, 2015.
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Shekari, Y., Javan, M. & Eghbalzadeh, A. Effect of turbulence models on the submerged hydraulic jump simulation. J Appl Mech Tech Phy 56, 454–463 (2015). https://doi.org/10.1134/S0021894415030153
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DOI: https://doi.org/10.1134/S0021894415030153