Classical hydraulic jump: length of roller

Hager, Willi H.; Bremen, R.; Kawagoshi, N.

doi:10.1080/00221689009499048

Cited by 144 publications

(94 citation statements)

References 2 publications

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“…The estimates of a, a 0 and b 0 obtained by Carollo and Ferro (2004) using the measurements of Hughes and Flack [19] and HagerBremen [36] and also the estimates of a, a 0 and b 0 obtained by CarolloFerro [31] are listed in Table 4.…”

Section: Relative Roller Length Of the Hydraulic Jumpmentioning

confidence: 99%

“…Many experimental studies (Pietrkowski (1932), Smetana (1937) and Hager et al [36]) suggested that the roller length (L r ) was actually a better length characteristic than the hydraulic jump length because it was easy to observe and was properly defined for steady flow conditions [35]. The roller length (L r ), is the horizontal distance between the toe section with the flow depth y 1 and the roller end.…”

Section: Relative Roller Length Of the Hydraulic Jumpmentioning

confidence: 99%

“…Carollo and Ferro (2004) by using the roller length data for the smooth and rough beds by HagerBremen [36], Hughes and Flack [19] and Ead and Rajaratnam [18], proposed the following equations for the roller length [31]:…”

Section: Relative Roller Length Of the Hydraulic Jumpmentioning

confidence: 99%

See 2 more Smart Citations

An Experimental Study of Hydraulic Jump in a Gradually Expanding Rectangular Stilling Basin with Roughened Bed

Hassanpour

Dalir

Farsadizadeh

et al. 2017

Water

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Abstract:The paper presents the results of an experimental study carried out to investigate the effect of geometric and hydraulic parameters on energy dissipation and location of the hydraulic jump, with a change in the height of roughness elements and the divergence of walls in different discharges. Experiments were conducted in a horizontal rectangular basin with gradual expansion 0.5 m wide and 10 m long. Four physical models were fixed in the flume. The measured characteristics of the hydraulic jump with different divergences ratio (B = b 1 /b 2 = 0.4, 0.6, 0.8, 1) and the inflow Froude numbers (6 < Fr 1 < 12) were compared with each other and with the corresponding values measured for the classical hydraulic jump. The results showed that the tailwater depth required to form a hydraulic jump and also the roller length of the hydraulic jump and the length of the hydraulic jump on a gradual expansion basin with the rough bed were appreciably smaller than that of the corresponding hydraulic jumps in a rectangular basin with smooth and rough bed. With the experimental data, empirical formulae were developed to express the hydraulic jump characteristics relating to roughness elements height and divergence ratio of wall. Also, the applicability of some empirical relationships for estimating the roller length was tested.

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Section: Relative Roller Length Of the Hydraulic Jumpmentioning

confidence: 99%

Section: Relative Roller Length Of the Hydraulic Jumpmentioning

confidence: 99%

See 1 more Smart Citation

An Experimental Study of Hydraulic Jump in a Gradually Expanding Rectangular Stilling Basin with Roughened Bed

Hassanpour

Dalir

Farsadizadeh

et al. 2017

Water

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show abstract

“…This monotonic decrease of the vorticity is consistent with the observation by Svendsen et al (2000). Assuming the existence of a constant-enstrophy background ϕ attributed to the vorticity generated by friction on the channel bottom, the enstrophy dissipation coefficient is set to Λ(Ω) = 2C r (1 − ϕ/Ω) where C r is adjusted to fit the experimental law of Hager et al (1990). The momentum dissipation obeys the classical parameterization −C f (Re)|U|U where the friction coefficient C f depends here on the Reynolds number Re through the Colebrook-White formula for smooth bottoms.…”

Section: Overviewmentioning

confidence: 62%

“…For instance, Hager, Bremen & Kawagoshi (1990) state that the roller length L is related to the depth h − at the toe of a stationary hydraulic jump by the relation L/h − = 8F − 12 when the upstream Froude number F is in the range [2.5, 8]. In the same range, Chanson (2011) describes the depth profile h(x) of the roller by…”

Section: Introductionmentioning

confidence: 99%