Submerged hydraulic jump: a computational analysis in different scales

Bocchi, João Pedro Paludo; Sanagiotto, Daniela Guzzon; Teixeira, Eder Daniel

doi:10.1590/2318-0331.292420230089

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Scientific/Technical Article • RBRH 29 • 2024 • https://doi.org/10.1590/2318-0331.292420230089 copy

Submerged hydraulic jump: a computational analysis in different scales

Ressalto hidráulico submergido: uma análise em diferentes escalas

Authorship SCIMAGO INSTITUTIONS RANKINGS

ABSTRACT

Advancements in computational capabilities have enabled engineers and scientists to numerically model complex turbulent phenomena such as hydraulic jumps. This research assesses the capability of numerically simulating a hydraulic jump that occurs in the UHE Porto Colômbia's stilling basin at a flow rate of 4,000 m³/s. To achieve this, simulation results were compared with data from three hydraulic physical models (scales 1:32, 1:50, and 1:100) and full-scale measurements. The simulations employed the Ansys CFX solver, utilizing a Reynolds-Averaged Navier-Stokes (RANS) approach, the RNG κ-ε turbulence model, and the Volume of Fluid (VOF) method for air-water interactions. Various variables were analyzed, with satisfactory results for mean pressures, conjugated depths, roller length, water profile in less aerated areas, and mean velocity at the submerged hydraulic jump upstream section, with errors below 10%. However, the submerged hydraulic jump's start position and the representation of the water surface profile in the region near the jump toe yielded more disparate results. In conclusion, the methods and conditions applied in the simulations are apt for representing variables less impacted by aeration phenomena, establishing CFD simulations as a valuable tool for hydraulic jump analysis.

Keywords:
Hydraulic jump; Submerged hydraulic jump; CFD; RANS

Probe	Mean Pressure (m)								Difference (%)
	Teixeira (2008) Teixeira, E. D. (2008). Efeito de escala na previsão dos valores extremos de pressão junto ao fundo em bacias de dissipação por ressalto hidráulico (Tese de doutorado). Universidade Federal do Rio Grande do Sul, Porto Alegre.				Simulation				Difference (%)
	1:1	1:32	1:50	1:100	1:1	1:32	1:50	1:100	1:1	1:32	1:50	1:100
dA	7.03	7.30	8.16	6.71	7.11	7.38	7.94	7.21	1.1	1.1	2.7	7.5
dB	10.52	12.37	12.77	12.21	11.62	12.13	12.26	11.55	10.5	2.0	4.0	5.4
dC	8.39	10.57	10.90	10.69	10.17	10.71	10.57	10.07	21.2	1.3	3.0	5.8
d1	6.91	7.57	8.10	8.20	8.04	7.42	8.03	7.55	16.4	1.9	0.9	7.9
d1.5	-	6.83	-	-	-	7.22			-	5.6	-	-
d2	-	7.40	8.13	8.24	-	7.83	7.91	8.09	-	5.8	2.7	1.9
d2.5	-	8.03	-	-	-	7.98			-	0.7	-	-
d3	8.27	8.86	9.29	9.01	7.18	7.97	8.53	8.43	13.2	10.1	8.2	6.4
d4	-	9.54	9.83	10.00	-	9.00	9.71	8.91	-	5.7	1.2	10.9
d5	9.79	10.40	10.73	10.83	10.18	9.51	10.46	9.52	3.9	8.5	2.5	12.1
d6	-	11.29	11.25	11.19	-	10.73	11.75	11.10	-	5.0	4.4	0.8
d7	10.80	12.19	11.88	12.47	12.09	12.25	13.03	12.47	11.9	0.5	9.7	0.0

Scale	$h_{1}$ [m]		Difference (%)
Scale	Teixeira (2008) Teixeira, E. D. (2008). Efeito de escala na previsão dos valores extremos de pressão junto ao fundo em bacias de dissipação por ressalto hidráulico (Tese de doutorado). Universidade Federal do Rio Grande do Sul, Porto Alegre.	Simulation	Difference (%)
1:1	1.179	1.120	4.93
1:32	1.161	1.085	6.57
1:50	1.197	1.154	3.52
1:100	1.181	1.167	1.19

Scale	$L_{R}$ [m]			$\|L_{R, S i m .} - L_{R, C a l c .}\| / L_{R, S i m .}$ [%]
Scale	Sim.	Equation 3	Equation 4	Equation 3	Equation 4
1:1	64.8	55.1	58.1	14.9	10.3
1:32	62.9	55.4	58.3	11.9	7.2
1:50	63.8	58.2	61.4	8.8	3.8
1:100	61.7	56.5	59.9	8.5	3.0

Scale	$V_{1}$ [m/s]		Difference (%)
Scale	Teixeira (2008) Teixeira, E. D. (2008). Efeito de escala na previsão dos valores extremos de pressão junto ao fundo em bacias de dissipação por ressalto hidráulico (Tese de doutorado). Universidade Federal do Rio Grande do Sul, Porto Alegre.	Simulation	Difference (%)
1:1	17.69	18.39	3.95
1:32	17.51	18.05	3.03
1:50	18.04	17.08	5.31
1:100	17.78	17.31	2.63

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[1] E-mails: jp.bocchi@gmail.com (JPPB), dsanagiotto@ufrgs.br (DGS), eder.teixeira@ufrgs.br (EDT)