NUMERICAL INVESTIGATION OF TURBULENCE CHARACTERISTICS AND SELF-SIMILARITY IN A HIGHLY AERATED STABLE HYDRAULIC JUMP USING LARGE EDDY SIMULATION

Fernando Oliveira de Andrade; Marcelo Yudi Minoda Takenobu; Marcelo Marques

doi:10.15628/holos.2023.16313

Auteurs

Fernando Oliveira de Andrade Universidade Tecnológica Federal do Paraná https://orcid.org/0000-0003-4348-7966
Marcelo Yudi Minoda Takenobu Universidade Federal do Paraná https://orcid.org/0009-0008-9720-1373
Marcelo Marques Universidade Estadual de Maringá https://orcid.org/0000-0001-5451-5323

DOI :

https://doi.org/10.15628/holos.2023.16313

Mots-clés :

Ressalto hidráulico, Simulação de grandes escalas, Turbulˆencia

Résumé

This work presents a numerical study of a stable hydraulic jump at Froude number 4.25 and Reynolds number 1.15×10⁵ inside a horizontal and rectangular channel with a length of 3.2 m, a width of 0.5 m and a height of 0.4 m using large eddy simulation (LES). Classical hydraulic jump characteristics are obtained, such as conjugate depths, jump length, void fraction and velocity profiles. The hydraulic jump maximum streamwise velocity decay and shear layer spreading rate are simulated and compared with experimental data. For these parameters, numerical results demonstrate that is possible to stablish an analogy with other shear flows, such as the horizontal plane wall jet. Profiles of streamwise and vertical components of mean velocity are simulated, and self-similarity is observed for cross-sections located at the recirculation region of the jump. Self-similarity is also observed in terms of turbulent fluctuations, insofar as LES simulations indicate a high level of turbulence in the recirculation region. The simulated root mean square of streamwise velocity fluctuations, , ranges from 0.5 to 0.7 of the maximum cross-sections velocity, whereas the root mean square of vertical component of velocity fluctuations, , stays around 0.5 of the maximum cross-sections velocitiy. All validation comparisons show good agreement with the selected experimental data of Kramer and Valero (2020) and Wang (2014), presenting average deviations always lesser than 5%.

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Bibliographies de l'auteur

Fernando Oliveira de Andrade, Universidade Tecnológica Federal do Paraná

Fernando Oliveira de Andrade has a degree in civil engineering from the Federal University of Paraná (1998), a master's degree in civil and environmental engineering from the University of Iowa (2000), a doctorate in mechanical engineering from the Pontifical Catholic University of Rio de Janeiro (2009) and a doctorate in fluid mechanics from the University of Poitiers (2009).

He has been a professor of the civil engineering course and the sanitary and environmental engineering course at the Federal Technological University of Paraná since 2013, where he teaches the subjects of fluid mechanics, hydraulics and hydrology. He has been a professor in the Graduate Program in Water Resources and Environmental Engineering at the Federal University of Paraná since 2012, teaching the subjects of environmental fluid mechanics I and II.

Marcelo Yudi Minoda Takenobu, Universidade Federal do Paraná

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Marcelo Marques, Universidade Estadual de Maringá

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