Hydraulics of free overfall in Δ-shaped channels

Sadhana - Academy Proceedings in Engineering Sciences

Volumn 27, Issue PART 3, 2002, Pages 353-363

  Dey, Subhasish ^a   Kumar, B Ravi ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Brink depth; End depth; Equilateral triangle shaped channels; Free overfall; Hydraulics; One dimensional flow; Open channel flow; Steady flow

Indexed keywords

COMPUTER SIMULATION; OPEN CHANNEL FLOW; STEADY FLOW; VORTEX FLOW;

END-DEPTH-RATIO (EDR);

HYDRAULICS;

EID: 0036623976     PISSN: 02562499     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02703656     Document Type: Article

References (44)

1. Ali K H M, Sykes A 1972 Free-vortex theory applied to free overfall. J. Hydraul. Div., Am. Soc. Civ. Eng. 98: 973-979
2. Anastasiadou-Partheniou L, Hatzigiannakis E 1995 General end-depth-discharge relationship at free overfall in trapezoidal channel. J. Irrig. Drain. Eng., Am. Soc. Civ. Eng. 121: 143-151
3. Anderson M V 1967 Non-uniform flow in front of a free overfall. Acta Polytech. Scand. 42: 1-24
4. Bauer S W, Graf W H 1971 Free overfall as flow measuring device. J. Irrig. Drain. Div., Am. Soc. Civ. Eng. 97: 73-83
5. Chow W L, Han T 1979 Inviscid solution for the problem of the free overfall. J. Appl. Mech. 46: 1-5
6. Clausnitzer B, Hager W H 1997 Outflow characteristics from circular pipe. J. Hydraul. Eng., Am. Soc. Civ. Eng. 123: 914-917
7. Clarke N S 1965 On two-dimensional inviscid flow in a waterfall. J. Fluid Mech. 22: 359-369
8. Davis A C, Ellett B G S, Jacob R P 1998 Flow measurement in sloping channels with rectangular free overfall. J. Hydraul. Eng., Am. Soc. Civ. Eng. 124: 760-763
9. Davis A C, Jacob R P, Ellett B G S 1999 Estimating trajectory of free overfall nappe. J. Hydraul. Eng., Am. Soc. Civ. Eng. 125: 79-82
10. Delleur J W, Dooge J C I, Gent K W 1956 Influence of slope and roughness on the free overfall. J. Hydraul. Div., Am. Soc. Civ. Eng. 82: 30-35
11. Dey S 1998a Free overfall in rough rectangular channels: a computational approach. Water, Maritime and Energy, Proc. Inst. Civ. Eng. (London) 130: 51-54
12. Dey S 1998b End depth in circular channels. J. Hydraul. Eng., Am. Soc. Civ. Eng. 124: 856-863
13. Dey S 2000 End depth in steeply sloping rough rectangular channels. Sādhanā 25: 1-10
14. Dey S 2001a The EDR in circular channels. J. Irrig. Drain. Eng., Am. Soc. Civ. Eng. 127: 110-112
15. Dey S 2001b Flow metering by end-depth method in elliptic channels. Dam Eng. 12: 5-19
16. Dey S 2001c Flow measurement by the end-depth method in inverted semicircular channels. Flow Measure Instrum. 12: 253-258.
17. Diskin M H 1961 The end depth at a drop in trapezoidal channels. J. Hydraul. Div., Am. Soc. Civ. Eng. 87: 11-32
18. Fathy A, Shaarawi M A 1954 Hydraulics of free overfall. Proc. ASCE 80, Reston, pp. 1-12
19. Ferro V 1992 Flow measurement with rectangular free overfall. J. Irrig. Drain. Eng., Am. Soc. Civ. Eng. 118: 956-970
20. Ferro V 1999 Theoretical end-depth-discharge relationship for free overfall. J. Irrig. Drain. Eng., Am. Soc. Civ. Eng. 125: 40-44
21. Gupta R D, Jamil M, Mohsin M 1993 Discharge prediction in smooth trapezoidal free overfall (positive, zero and negative slopes). J. Irrig. Drain. Eng., Am. Soc. Civ. Eng. 119: 215-224
22. Hager W H 1983 Hydraulics of the plane overfall. J. Hydraul. Eng., Am. Soc. Civ. Eng. 109: 1683-1697
23. Hager W H 1999 Cavity outflow from a nearly horizontal pipe. Int. J. Multiphase flow 25: 349-364
24. ISO 3874 1977 End depth method for estimation of flow in rectangular channels with a free overfall. International Organization for Standardization, Geneva
25. ISO 4371 1984 End depth method for estimation of flow in non-rectangular channels with a free overfall. International Organization for Standardization, Geneva
26. Jaeger C 1948 Hauteur d'eau a l'extremite d'un long deversoir. La Houille Blanche 3: 518-523
27. Jaeger C 1957 Engineering fluid mechanics (New York: St. Martin's Press)
28. Keller R J, Fong S S 1989 Flow measurements with trapezoidal free overfall. J. Irrig. Drain. Eng., Am. Soc. Civ. Eng. 115: 125-136
29. Kraijenhoff D A, Dommerholt A 1977 Brink depth method in rectangular channel. J. Irrig. Drain. Div., Am. Soc. Civ. Eng. 103: 171-177
30. Marchi E 1993 On the free overfall. J. Hydraul. Res. 31: 777-790
31. Markland E 1965 Calculation of flow at a free overfall by relaxation method. Proc. Inst. Civ. Eng. (London) 31: 71-78
32. Matthew G H 1991 Higher order, one dimensional equation of potential flow in open channels. Proc. Inst. Civ. Eng. (London) 90: 187-210
33. Montes J S 1992 A potential flow solution for the free overfall. Water, Maritime and Energy, Proc. Inst. Civ. Eng. (London) 96: 259-266
34. Murty Bhallamudi S 1994 End depth in trapezoidal and exponential channels. J. Hydraul. Res. 32: 219-232
35. Naghdi P M, Rubin M B 1981 On inviscid flow in a waterfall. J. Fluid Mech. 103: 375-387
36. Rajaratnam N, Muralidhar D 1964a End depth for exponential channels. J. Irrig. Drain. Div., Am. Soc. Civ. Eng. 90: 17-36
37. Rajaratnam N, Muralidhar D 1964b End depth for circular channels. J. Hydraul. Div., Am. Soc. Civ. Eng. 90: 99-119
38. Rajaratnam N, Muralidhar D 1968a Characteristics of rectangular free overfall. J. Hydraul. Res. 6: 233-258
39. Rajaratnam N, Muralidhar D 1968b The rectangular free overfall. J. Hydraul. Div., Am. Soc. Civ. Eng. 94: 849-850
40. Rajaratnam N, Muralidhar D 1970 The trapezoidal free overfall. J. Hydraul. Res. 8: 419-447
41. Rajaratnam N, Muralidhar D, Beltaos S 1976 Roughness effects on rectangular overfall. J. Hydraul. Div., Am. Soc. Civ. Eng. 102: 599-614
42. Rouse H 1936 Discharge characteristics of the free overfall. Civ. Eng. 6: 257-260
43. Smith C D 1962 Brink depth for a circular channel. J. Hydraul. Div., Am. Soc. Civ. Eng. 88: 125-134
44. Streikoff T, Moayeri M S 1970 Pattern of potential flow in a free overfall. J. Hydraul. Div., Am. Soc. Civ. Eng. 96: 879-901