Start position of a sloping hydraulic jump

Abstract

Although sloping hydraulic jumps are frequent in energy dissipators, there are few studies regarding this type of phenomenon. Since the jump is accompanied by violent impacts and sudden variations of velocity and pressure, it is important to know the region where the phenomenon will occur, in order to make a safe and economic design possible. In this paper, a methodology for the determination of the start position of the sloping jump along a Creager spillway is introduced. It was verified that this position is a function of both the incident Froude number and the submergence factor.

Submerged hydraulic jump: a computational analysis in different scales

“…Measured results from physical experiments, which will be compared with the simulation outcomes, were reported in works by Teixeira (2008), Wiest (2008), Teixeira et al (2012), and Wiest et al (2020). Additionally, other computational studies related to the spillway of UHE Porto Colômbia were examined (Amorim et al, 2004(Amorim et al, , 2015Rodrigues, 2002).…”

“…In the 1:50 and 1:100 scale models, measurements Submerged hydraulic jump: a computational analysis in different scales were not taken at the d1.5 and d2.5 probe locations, while in the full-scale structure, measurements were not taken at the d1.5, d2, d2.5, d4, and d6 probe locations. For more detailed information on the instrumentation of the models and the prototype, refer to Teixeira (2008), Wiest (2008), Carvalho (2010), Teixeira et al (2012), andWiest et al (2020).…”

“…Although the result obtained from Equation 2 does not directly represent the physically measurable quantity of the subcritical conjugated depth ( 2 h ) in a B-jump hydraulic jump, it has been employed in the studies by Teixeira (2008), Teixeira et al (2012), andWiest et al (2020) to calculate this variable and achieve dimensionless results. Therefore, to prevent any misinterpretation of the variables used in the equations of this study, the variable * 2 h will be maintained as the calculated subcritical conjugated depth derived from the Bélanger equation.…”

“…The determination of the start position of the submerged jump also holds significance, for instance, in defining the elevations and dimensions of piers in weirs with controlled sills. Wiest et al (2020) developed an equation to determine the start height of B-jumps based on data measured in the 1:50 scale hydraulic model of the spillway and stilling basin of Porto Colômbia Hydropower Plant. In this study, the authors utilized measured data for flows ranging from 1,000 m 3 /s to 8,000 m 3 /s (full-scale), considering different degrees of submergence of the hydraulic jump.…”

“…Consequently, obtaining water level measurements in this zone using limnimeter tips poses challenges and tends to also yield higher errors. The start height of the submerged hydraulic jump was compared between the simulation results and the equation proposed by Wiest et al (2020), shown in Equation 5. The comparison is illustrated in Figure 7.…”