The Hydraulic Jump in Terms of Dynamic Similarity

Bakhmeteff, Boris A.; Matzke, Arthur E.

doi:10.1061/taceat.0004708

Cited by 52 publications

(24 citation statements)

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“…where x0 is the hydraulic jump toe position, y1 and y2 the supercritical and subcritical flow depths an d Lr the hydraulic jump roller length. Both numerical models were able to reproduce the free surface profile of the hydraulic jump as their profiles mostly fall between the ones proposed by Wang and Chanson (2015a) and Bakhmeteff and Matzke (1936). It can be remarked that there was a slight overestimation of Y in comparison with the Bakhmeteff and Matzke (1936) profile for X > 1, but this is in good agreement wit h the results reported in Hager (1992) and Bayón et al (2016).…”

Section: Free Surface Profilesupporting

confidence: 86%

“…The free surface profile is an important aspect of hydraulic jumps that has been widely studied in the past (Wang & Chanson 2015a, Castro-Orgaz & Hager 2009, Bakhmeteff & Matzke 1936. Figure 2 d is p lay s the averaged dimensionless free surface profile for both CFD codes, along with results from the experimental campaign and other authors' data (Wang & Chanson 2015a, Bakhmeteff & Matzke, 1936.…”

Section: Free Surface Profilementioning

confidence: 95%

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Characterization of Structural Properties in High Reynolds Hydraulic Jump Based on CFD and Physical Modeling Approaches

et al. 2020

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A classical hydraulic jump of Fr1=6 and Re1= 210,000 was characterized using the Computational Flu id Dynamics (CFD) codes OpenFOAM and FLOW-3D, whose performance was assessed. The results were compared to experimental data from a physical model designed for the purpose. The most relevant hydraulic jump characteristics were investigated, including hydraulic jump efficiency, roller lengt h , free surface profile, distributions of velocity and pressure and fluctuating variables. The model outcome was also compared to previous results from the literature. It was found that both CFD cod es rep resent wit h high accuracy the hydraulic jump surface profile, roller length, efficiency and sequent depths ratio, consistently with previous research. Some significant differences were found between b ot h CFD co d es regarding velocity distributions and pressure fluctuations , although in general results are in good agreement with experimental and bibliographical observations. This makes models of these characteristics suitable for engineering applications involving design and optimization of energy dissipation devices.

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Section: Free Surface Profilesupporting

confidence: 86%

Section: Free Surface Profilementioning

confidence: 95%

Characterization of Structural Properties in High Reynolds Hydraulic Jump Based on CFD and Physical Modeling Approaches

et al. 2020

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“…While the dimensionless presentation in terms of dynamic similarity was a matter of course when it came to flow in closed conduits, its application to open flow was not yet widespread. Bakhmeteff and Matzke [21] showed general dimensionless characteristics of the jump in terms of 'the kinetic flow' λ:…”

Section: Experimental Studies On the Internal Flow In Hydraulic Jumpsmentioning

confidence: 99%

Hydraulic Jump: A Brief History and Research Challenges

Padova

Mossa

2021

Water

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This paper presents a brief history of the hydraulic jump and a literature review on hydraulic jumps’ experimental and numerical studies. Leonardo da Vinci noticed this phenomenon early on, but it was only later studied by Bidone in 1820. Since the beginning of the 20th century, the hydraulic jump has received a lot of attention following the development of energy dissipater designs and stilling basins. The late 1920s and early 1930s saw many experimental studies researching the surface roller profile and energy dissipation. The study of internal flow features started in the late 1950s. Starting in the 70s, it was believed that the flow of a jump must be analyzed in its actual configuration of air–water mixture, an aspect that cannot be overlooked. Several experimental studies in the late 1980s and 1990s highlighted the existence of oscillating phenomena under specific flow conditions and particularly, a cyclic variation of jump types over long-lasting experiments. The early 2000s saw many experimental studies researching the complex structure of the separated region in very large channels downstream of the lateral shockwaves. Whereas most of the experiments provide measurements at a point or on a plane, the complete flow field supplied by CFD simulations enables us to have a deeper understanding of the dynamics of coherent structures that are responsible for free-surface fluctuations and aeration in hydraulic jumps. Therefore, in recent years, the computational fluid dynamics (CFD) method, through turbulence models, has become a useful tool to study this complex environmental fluid mechanic problem.

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“…Bélanger (1845) was the first to perform a theoretical analysis of a free hydraulic jump by applying the conservation laws of mass and momentum. Almost a century later, Bakhmeteff and Matzke (1936) conducted a detailed experimental study and developed a curve that correlates the normalized length of this jump to the kinetic flow factor. After analyzing a large set of experimental data, Rajaratnam and Subramanya (1968) and Hager (1993) developed empirical equations for the free-surface profile of a rectangular hydraulic jump.…”

Section: Introductionmentioning

confidence: 99%

Non-Hydrostatic Transitional Open-Channel Flows from a Supercritical to a Subcritical State

Zerihun¹

2021

Slovak Journal of Civil Engineering

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In this study, a depth-averaged numerical model was employed to investigate the two-dimensional flow features of transitional open-channel flows from a supercritical to a subcritical state. Compared to a shallow-water model, the proposed model incorporates supplementary terms to account for the effects of non-uniform velocity and non-hydrostatic pressure distributions. The model equation was solved numerically by means of the Adams–Bashforth–Moulton scheme. A wide variety of transitional open-channel flow problems such as hydraulic jumps was considered for assessing the suitability of the numerical model. The results of the model for the free-surface profile, pressure distribution, and characteristics of the first wave of an undular jump were compared with the experimental data, and the agreement was found to be satisfactory. Despite the effects of the three-dimensional characteristics of the flow and the bulking of the flow caused by air entrainment, the model performed reasonably well with respect to the simulations of the mean flow characteristics of the curvilinear turbulent flow problems. Furthermore, the results of this investigation confirmed that the model is more suitable for analyzing near-critical turbulent flow problems without cross-channel shock waves.

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The Hydraulic Jump in Terms of Dynamic Similarity

Cited by 52 publications

References 0 publications

Characterization of Structural Properties in High Reynolds Hydraulic Jump Based on CFD and Physical Modeling Approaches

Characterization of Structural Properties in High Reynolds Hydraulic Jump Based on CFD and Physical Modeling Approaches

Hydraulic Jump: A Brief History and Research Challenges

Non-Hydrostatic Transitional Open-Channel Flows from a Supercritical to a Subcritical State

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