Abstract
Sills and baffles are appurtenances used to stabilize hydraulic jump in a stilling basin. The force acting on these appurtenances are characterized by the drag coefficient (CD). This paper describes experimental methods carried out in a rectangular channel to analyze the drag characteristics of sill and baffles in free (unsubmerged) and submerged hydraulic jumps. The sills and baffles were designed as per the USBR type III stilling basin guidelines. A calibrated loadcell connected to an Arduino board was used to measure the drag force. Errors in measurements are limited to 1%. The drag co-efficient was obtained for different Froude numbers (F1=U1/√gy1) pertaining to strong jump (4.5–9) for different relative position of sills (xS/y2) and baffles (xb/y2) from the nozzle of the sluice gate. Both forced (unsubmerged) and submerged jumps were investigated. It is seen that the drag coefficient of appurtenances in submerged jumps were lower than those in free jumps. This may be attributed to the reduction in wake size in submerged jumps. Comparisons of the experimental results of the sill with the previous theoretical studies are reasonable.
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Abbreviations
- CD :
-
Drag coefficient
- Cdδ :
-
Local drag coefficient
- FD :
-
Drag Force
- Uj :
-
Efflux velocity in the wall jet
- F1 :
-
Froude number
- y1 :
-
Height of the nozzle for the wall jets, supercritical depth in free hydraulic jump
- S:
-
Height of the sill per unit width
- Hz:
-
Hertz
- Hp:
-
Horsepower
- Kw:
-
Kilo watt
- Lj :
-
Length of the jump
- Lsj :
-
Length of the submerged jump
- Um :
-
Local maximum velocity in the wall jet
- x:
-
Longitudinal distance
- mm:
-
Millimeter
- mV:
-
Milli volts
- Sm :
-
Modified submergence
- y0:
-
Opening of the gate
- A:
-
Projected area
- g:
-
Acceleration due to gravity
- y2 :
-
Subcritical sequent depth
- S:
-
Submergence factor
- U1 :
-
Super critical mean velocity
- yt :
-
Tail water depth
- u:
-
Velocity at distance y from the wall
- xb :
-
Distance from the toe of the jump to the position of the baffles in hydraulic jump for from the nozzle to the baffle in the wall jet.
- xs :
-
Distance from the toe of the jump to the position of the sill in hydraulic jump or from the nozzle to the baffle in the wall jet.
- s:
-
Subscript of the distance from the toe of the jump to the position of the sill in hydraulic jump or from the nozzle to the baffle in the wall jet.
- Hg :
-
Depth of water behind the sluice gate
- DSJ:
-
Deflected surface jet
- RWJ:
-
Reattaching wall jet
References
Bradley J N and Peterka A J 1957 Hydraulic design of stilling basins: Stilling basin with sloping apron (Basin V). J. Hydraul. Div. 83(5): 1405–1411
Weaver R W 1950 Discussion of Control of hydraulic jump by sills. Trans. Am. Soc. Civ. Eng 115: 1003–1006
Rajaratnam N 1964 The forced hydraulic jump. Water Power 16(2): 14–19
Basco D R and Adams J R 1971 Drag forces on baffle blocks in hydraulic jumps. J. Hydraul. Div. 97(12): 2023–2035
McCorquodale John A and Regts E H 1968 A theory for the force hydraulic jump. Trans. Eng. Inst. Canada 11: 1–9
Narayanan R and Schizas L S 1980 Force on sill of forced jump. J. Hydraul. Div. 106(7): 1159–1172
Karki K S, Mishra S K and Babee A 1986 Prediction of drag force on baffle wall and blocks. Proceedings of 14th Fluid Mechanics and Fluid Power Conference, Univ of Roorkee, India
Hager W H and Li D 1992 Sill-controlled energy dissipator. J. Hydraul. Res. 30(2): 165–181
Farhoudi J and Narayanan R 1991 Force on slab beneath hydraulic jump. J. Hydraul. Eng. 117(1): 64–82
Fiorotto V and Rinaldo A 1992 Turbulent pressure fluctuations under hydraulic jumps. J. Hydraul. Res. 30(4): 499–520
Mudgal B V and Pani B S 2012 Drag characteristics of two-dimensional sills in forced hydraulic jumps. J. Hydraul. Eng. 138(5): 462–466
Ellayn A F and Sun Z L 2012 Hydraulic jump basins with wedge-shaped baffles. J. Zhejiang Univ. Sci. A 13(7): 519–525
Ead S A and Rajaratnam N 2002 Plane turbulent wall jets in shallow tailwater. J. Eng. Mech. 128(2): 143–155
Habibzadeh A, Wu S, Ade F, Rajaratnam N and Loewen M R 2011 Exploratory study of submerged hydraulic jumps with blocks. J. Hydraul. Eng. 137(6): 706–710
Habibzadeh A, Loewen M R and Rajaratnam N 2012 Performance of baffle blocks in submerged hydraulic jumps. J. Hydraul. Eng. 138(10): 902–908
Rajaratnam N 1965 Submerged hydraulic jump. J. Hydraul. Divis. 91(4): 71–96
Ibrahim M M 2017 Improve the efficiency of stilling basin using different types of blocks. Am. J. Eng. Res. (AJER) 6(8): 295–304
Padulano R, Fecarotta O, Del Giudice G and Carravetta A 2017 Hydraulic design of a USBR Type II stilling basin. J. Irrig. Drain. Eng. 143(5): 04017001
Aydin M C and Ulu A E 2017 Numerical modelling of sluice gates with different sill types under submerged flow conditions. Bitlis Eren Univ. J. Sci. Technol. 7(1): 1–6
Al-Fatlawi T J, Al-Mansori N J and Othman N Y 2020 Laboratory study of stilling basin using trapezoidal bed elements. Przegląd Naukowy Inżynieriai Kształtowanie Środowiska 29(4): 409–420
Hager W H and Hager W H 1992 Various Aspects of Stilling Basins. Energy Dissipators and Hydraulic Jump, 185–212
Khanam and Mudgal 2017 Comparison of velocity profiles for free and submerged hydraulic jump. J. Ecol. Environ. Conserv. 23: 321–327
Wahlin B, Wahl T, Gonzalez-Castro JA, Fulford J and Robeson M 2005 Task committee on experimental uncertainty and measurement errors in hydraulic engineering: An update. In Impacts of global climate change. pp. 1–11
Rajaratnam N and Murahari V 1971 A contribution to forced hydraulic jumps. J. Hydraul. Res. 9(2): 217–240
Mudgal B V 1994 Drag characteristics of sills in forced hydraulic jumps and energy loss in junction boxes. Ph.D Thesis – Department of Civil Engineering, IIT Bombay
Ohtsu I, Yasuda Y and Ishikawa M 1999 Submerged hydraulic jumps below abrupt expansions. J. Hydraul. Eng. 125(5): 492–499
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Khanam, N., Mudgal, B.V. & Menon, J. Experimental study on drag characteristics of sill and baffles in forced unsubmerged and submerged hydraulic jumps. Sādhanā 49, 41 (2024). https://doi.org/10.1007/s12046-023-02383-x
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DOI: https://doi.org/10.1007/s12046-023-02383-x