DESIGN OF HORSESHOE-SHAPED TUNNELS USING THE ROUGH MODEL METHOD (RMM)
Abstract
The uniform flow in a horseshoe-shaped tunnel is often encountered in many practical cases. This pipe can be used for water drainage in sewerage and construction. For the purpose of designing this type of channel with the presumption of uniform flow, it is necessary to refer to Chezy and Manning relationships. In general, Chezy's and Manning's coefficients are given as data of the problem and are mostly considered constants regardless of the normal flow depth. This is an approximation of the fact that the flow resistance should vary with depth or hydraulic radius. In this study, the pipe is designed with a variable flow resistance coefficient, depending on the fill rate of the pipe. The Chezy coefficient is no longer data of the problem but a variable to be determined. The determination of Chezy's coefficient is made possible by the rough model method (RMM). The proposed sizing method is valid in the entire turbulent flow domain, encompassing smooth, transitional, and rough turbulent flow regimes in a wide practical range.
Keywords
Full Text:
PDFReferences
ACHOUR B., BEDJAOUI A., KHATTAOUI M., DEBABECHE M. (2002). Contribution to the calculation of uniform free surface and pressurized flows (First part), Larhyss Journal, No 1, pp. 7-36. (In French)
ACHOUR B. (2007). Calculation of pipes and channels using RMM (pressurized pipes and channels), Larhyss Edition Capitale, University of Biskra, Algeria, 610 p. (In French)
ACHOUR B., BEDJAOUI A. (2006). Discussion. Exact solutions for normal depth problem, Journal of Hydraulic Research, Vol. 44, N°5, pp. 715-717.
ACHOUR B. (2013). Design of Pressurized Vaulted Rectangular Conduits Using the Rough Model Method, Advanced Materials Research, Vol. 779, pp. 414-419, Trans. Tech. Publications, Switzerland.
ACHOUR B., BEDJAOUI A. (2012). Turbulent Pipe-flow Computation Using The Rough Model Method (RMM), Journal of civil engineering and science, Vol.1, N°1, pp. 36-41.
ACHOUR B. (2014). Computation of normal depth in horseshoe-shaped tunnel using the rough model method. Advanced Materials Research, No 1006, pp. 826-832.
AL HINDASI H., ABUSHANDI E. (2023). Quantifying flow and velocity distributions in open channels with varied roughness and slopes: a modelling approach. Water Science, Vol. 37, No 1, pp. 269-275.
CHOW V.T. (1973). Open-Channel Hydraulics, McGraw Hill Editions, New York.
COLEBROOK C.F. (1939). Turbulent flow in pipes, with particular reference to the transition region between the smooth and rough pipe laws, Journal of the Institution of Civil Engineers, Vol. 11, No 4, pp.133–156
DARCY H. (1854). On experimental investigations relating to the movement of water in pipes, Comptes rendus des séances de l'Académie des Sciences, No 38, pp.1109-1121.
KIM J.H., KWON S.H., YOON K.S., CHUNG G. (2016). Hydraulic experiment for friction loss coefficient in noncircular pipe. Procedia engineering, No 154, pp. 773-778.
LOUKAM I., ACHOUR B., DJEDDOU M. (2020). Chezy's resistance coefficient in a horseshoe-shaped tunnel, Revue des Sciences de l’Eau, Vol. 32, No 4, pp. 379-392.
SINNIGER R.O., HAGER W.H. (1989). Hydraulic constructions, Editions Presses Polytechniques Romandes, Switzerland.
SWAMEE P.K., SWAMEE N. (2008). Design of noncircular sewer sections. Journal of Hydraulic Research, Vol. 46, No 2, pp. 277-281.
VIOLEAU D., ROGERS B.D. (2016). Smoothed particle hydrodynamics (SPH) for free-surface flows: past, present, and future. Journal of Hydraulic Research, Vol. 54, No 1, pp. 1-26.
ZEGAIT R., ACHOUR B. (2016). Study of flow with variable resistance coefficient new evaluation method for the Manning coefficient in horseshoe pipes, Journal of Advanced Research in Science and Technology, Vol. 3, No 2, pp. 369-383. (In French).
Refbacks
- There are currently no refbacks.
This work is licensed under a Creative Commons Attribution 3.0 License.