Abstract
A trapezoidal labyrinth weir is characterized by a broken axis in the plan to increase the crest’s effective length. Labyrinth weirs provide an increase in crest length for a given channel width, thereby increasing flow capacity for a given upstream head. A physical or experimental study based on the design and analysis of trapezoidal labyrinth weirs is presented in this study. Hydraulic model tests of the weir showed that the behavior of the labyrinth weir was convenient and that the discharge capacity presented a good agreement with theoretical calculations. It is the purpose of this paper to present a satisfactory developed physical model of labyrinth weir flow and provide engineers with a model capable of dealing with a variety of labyrinth weir configurations and flow conditions. The preliminary hydraulic calculations results indicated that hydraulic jump with estimated low Froude numbers (Fr1), of about 2.7–3.0, is supercritical at its downstream, and it enhances with the slope of the weir. This study of labyrinth weir is performed between head to crest ratio, apex width, vertical aspect ratio, approach, and conveyance channel conditions that increased the discharge capacity of labyrinth weir and design of trapezoidal labyrinth weir.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Abbreviations
- A:
-
= Inside apex width;
- B:
-
= Flume width;
- a,b:
-
= Coefficients;
- Cd:
-
= Coefficients of discharge for labyrinth weir;
- Fr:
-
= Froude Number;
- g:
-
= Acceleration due to gravity;
- Ht:
-
= Total upstream head on weir;
- Ht/P:
-
= Headwater ratio;
- l :
-
= Length of one cycle (2L1+A+D);
- L:
-
= Effective length of labyrinth =N (2L2+2A);
- N:
-
= Number of cycle;
- P:
-
= Weir height;
- Qo:
-
= Observed discharge;
- Qc:
-
= Computed discharge;
- R2:
-
= Determination coefficient;
- t:
-
= Weir wall thickness;
- Va:
-
= Velocity of approach;
- W:
-
= Total width of labyrinth weir;
- w:
-
= Width of one cycle of labyrinth;
- θ:
-
= Vertex angle;
- α:
-
= Angle of side edge or labyrinth angle;
References
Anderson RM, Tullis BP (2012) Comparison of piano key and rectangular labyrinth weir hydraulics. J Hydraul Eng 138:358–361
Anderson RM, Tullis BP (2013) Piano key hydraulics and labyrinth weir comparisons. J Irrig Drain Eng (ASCE) 139:246–253
Bilhan O, Emiroglu ME, Kisi O (2011) Use of artificial neural networks for prediction of discharge coefficient of triangular labyrinth side weir in curved channels. J Adv Eng Softw 42:208–214
Bos MG (Ed) (1989) Discharge measurement structures. In: International institute for land reclamation and improvement (ILRI) publication, vol 20. Wageningen, The Netherlands
Crookston BM, Tullis BP (2012a) Arced labyrinth weirs. J Hydraul Eng (ASCE) 138:555–562
Crookston BM, Tullis BP (2012b) Discharge efficiency of reservoir-application specific labyrinth weirs. J Irrig Drain Eng (ASCE) 138:564–568
Crookston BM, Tullis BP (2013) Hydraulic design and snalysis of labyrinth weirs. II: nappe aeration, instability, and vibration. J Irrig Drain Eng (ASCE) 139:371–377
Emiroglu ME, Kaya N, Agaccioglu H (2010) Discharge capacity of labyrinth side weir located on a straight channel. J Irrig Drain Eng (ASCE) 136:37–46
Garde RJ, Ranga Raju KG (2000) Mechanics of sediment transportation and alluvial stream problems. Wiley Eastern Limited, New Delhi
Hay N, Taylor G (1970) Performance and design of labyrinth weir. J Hydraul Eng (ASCE) 96:2337–2357
Kandaswamy P, Rouse H (1957) Characteristics of flow over terminal weirs and sills. J Hydraul Div 83:1–13
Khode BV, Tembhurkar AR, Porey PD, Ingle RN (2010) Determination of crest coefficient for flow over Trapezoidal labyrinth weir. World Appl Sci J 12(3):324–329. (ISSN 1818-4952), (© IDOSI Publications, 2011)
Khode BV, Tembhurkar AR, Porey PD, Ingle RN (2012) Experimental studies on flow over labyrinth weir. J Irrig Drain Eng ASCE 138:548-552
Lux F (1989) Design and application of labyrinth weirs. In: Design of hydraulic structures, vol 89. Balkema, Rotterdam
Magalhaes A, Lorena M (1989) Hydraulic design of labyrinth weirs. Report no. 736, National Laboratory of Civil Engineering, Lisbon, Portugal
Martínez J, Reca J, Morillas MT, Ló Pez JG (2005) Design and calibration of a compound sharp-crested weir. J Hydraul Eng ASCE 131(2):112–116
Mohamed HI (2010) Flow over gabion weirs. J Irrig Drain Eng 136(8):573–577. (© ASCE 2010)
Righetti M, Lanzoni S (2008) Experimental study of the flow field over bottom intake racks. ASCE J Hydraul Eng 134(1):15–22
Sobeih MF, Helal EY, Nassralla TH, Abdelaziz AA (2012) Scour depth downstream weir with openings. Int J Civil Struct Eng 1(3):259–270
Tullis BP, Amanian N, Waldron D (1995) Design of labyrinth spillways. ASCE J Hyd Eng 121(3):247–255
Tullis BP, Young JC, Chandler MA (2007) Head-discharge relationships for submerged Labyrinth weirs. ASCE J Hyd Eng 133(3):248–253
Tullis BP, Waldron D (2005) Design of labyrinth spillways. J Hydraul Eng 121(3)
Venkataraman P (1977) Discharge characteristics of an idealized bottom intake. J Inst Eng 58(2–3):99
Yıldız D, Uzucek E (1996) Modeling the performance of labyrinth spillways. Int J Hydropower Dams 3:71–76
Acknowledgements
The author gratefully acknowledges the supports provided by the department of civil engineering, Delhi Technological University, Delhi.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Sah, S., Kumar, M., Singh, D. (2022). Study of Flow Characteristic of Trapezoidal Labyrinth Weir. In: Jha, R., Singh, V.P., Singh, V., Roy, L.B., Thendiyath, R. (eds) River Hydraulics. Water Science and Technology Library, vol 110. Springer, Cham. https://doi.org/10.1007/978-3-030-81768-8_20
Download citation
DOI: https://doi.org/10.1007/978-3-030-81768-8_20
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-81767-1
Online ISBN: 978-3-030-81768-8
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)