Neuro-fuzzy approach in estimating Hazen-Williams friction coefficient for small-diameter polyethylene pipes

Advances in Engineering Software

Volumn 40, Issue 8, 2009, Pages 593-599

  Yildirim, Gürol ^a   Özger, Mehmet ^b  

^a AKSARAY UNIVERSITY   (Turkey)

^b ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

ANFIS; Friction coefficient; Hazen Williams equation; Neuro fuzzy technique; Pipe network analysis

Indexed keywords

ELECTRIC NETWORK ANALYSIS; FUZZY RULES; FUZZY SYSTEMS; IRRIGATION; MEMBERSHIP FUNCTIONS; PARAMETER ESTIMATION; PIPELINES; PIPING SYSTEMS; THERMOPLASTICS; TRIBOLOGY; WATER SUPPLY;

ANFIS; FRICTION COEFFICIENT; HAZEN-WILLIAMS EQUATION; NEURO-FUZZY TECHNIQUE; PIPE NETWORK ANALYSIS;

FRICTION;

EID: 64849107990     PISSN: 09659978     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advengsoft.2008.11.001     Document Type: Article

References (46)

1. Blasius H. Das Aehnlichkeitsgestz bei Reibungsavorgangen in Flussigkeiten. Forschungsarbeiten auf dem Gebiete des Ingenieurwesens (1913) 131
2. Braud H.J., and Soom A.M. Trickle irrigation lateral design in sloping fields. Trans ASAE 24 4 (1981) 941-944
3. Bucks D.A., and Meyers L.E. Trickle irrigation application uniformity from simple emitters. Trans ASAE 16 6 (1973) 1108-1111
4. Christensen B.A. Discussion of "Limitations and proper use of the Hazen-Williams equation" by C.P. Liou. J Hydraulic Eng ASCE 126 2 (2000) 167-168
5. Colebrook C.F. Turbulent flow in pipes, with particular reference to the transition region between the smooth and rough pipe laws. J Inst Civil Eng, Lond 11 (1938/1939) 133-156
6. Colebrook C.F., and White C.M. Experiments with fluid friction in roughened pipes. Proc Roy Soc, Series A Math Phys Sci 161 904 (1937) 367-381
7. Daugherty R.L., and Franzini J.B. Fluid mechanics with engineering applications (1977), McGraw-Hill Inc., New York
8. Gupta R., and Bhave P.R. Fuzzy parameters in pipe network analysis. Civil Eng Environ Syst 24 1 (2007) 33-54
9. Hathoot H.M., Al-Amoud A.I., and Mohammad F.S. Analysis and design of trickle irrigation laterals. J Irrig Drain Eng, ASCE 119 5 (1993) 756-767
10. Hong Y.S., Rosen M.R., and Reeves R.R. Dynamic fuzzy modeling of storm water i{dotless}nfiltration in urban fractured aquifers. J Hydrol Eng, ASCE 7 5 (2002) 380-391
11. Howell T.A., and Hiler E.A. Trickle irrigation lateral design. Trans ASAE 17 5 (1974) 902-908
12. Jang J.-S.R. ANFIS: adaptive-network-based fuzzy inference system. IEEE Trans Syst Man Cybern 23 3 (1993) 665-685
13. Keller J., and Bliesner R.D. Sprinkle and trickle irrigation (1990), Chapman & Hall, New York
14. Kişi O. Suspended sediment estimation using neuro-fuzzy and neural network approaches. Hydrol Sci J 50 4 (2005) 683-696
15. Kişi O. Daily pan evaporation modeling using a neuro-fuzzy computing technique. J Hydrol 329 8 (2006) 636-646
16. Kişi O., and Öztürk O. Adaptive neuro-fuzzy computing technique for evapotranspiration estimation. J Irrig Drain Eng, ASCE 133 4 (2007) 368-379
17. Liou C.P. Limitations and proper use of the Hazen-Williams equation. J Hydraul Eng ASCE 124 9 (1998) 951-954
18. Moghazi H.M. Estimating Hazen-Williams coefficient for polyethylene pipes. J Transport Eng, ASCE 124 2 (1998) 197-199
19. Nayak P.C., Sudheer K.P., Rangan D.M., and Ramasastri K.S. A neuro-fuzzy computing technique for modelling hydrological time series. J Hydrol 291 (2004) 52-66
20. Özger M., and Şen Z. Prediction of wave parameters by using fuzzy logic approach. Ocean Eng 34 3-4 (2007) 460-469
21. Ozger M., and Yi{dotless}ldi{dotless}ri{dotless}m G. Determining turbulent flow friction coefficient using adaptive neuro-fuzzy computing technique. Adv Eng Software (2008) 10.1016/j.advengsoft.2008.04.006
22. Partal T., and Kişi O. Wavelet and neuro-fuzzy conjunction model for precipitation forecasting. J Hydrol 342 1-2 (2007) 199-212
23. Ridolfi R., and Revelli R. Fuzzy approach for analysis of pipe networks. J Hydraul Eng, ASCE 128 1 (2002) 93-101
24. Schlichting H. Boundary layer theory. 6th ed. (1968), McGraw-Hill, New York (NY)
25. Smith RV. Flow of natural gas through experimental pipe lines and transmission lines. US Bureau of Mines Monogram 9. New York (NY): American Gas Association; 1956.
26. Takagi T., and Sugeno M. Fuzzy identification of systems and its application to modeling and control. IEEE Trans Syst Man Cybern 15 1 (1985) 116-132
27. Valiantzas J.D. Modified Hazen-Williams and Darcy-Weisbach equations for friction and local head losses along irrigation laterals. J Irrig Drain Eng, ASCE 131 4 (2005) 342-350
28. Vermeiren L, Jobling GA. Localized irrigation. FAO irrigation and drainage paper 36, Rome, Italy; 1978. p. 203.
29. Vernieuwe H., Georgieva O., De Baets B., Pauwels V.R.N., Verhoest N.E.C., and De Troch F.P. Comparison of data-driven Takagi-Sugeno models of rainfall-discharge dynamics. J Hydrol 302 1-4 (2005) 173-186
30. von Bernuth R.D. Simple and accurate friction loss equation for plastic pipe. J Irrig Drain Eng 116 2 (1990) 294-298
31. von Bernuth R.D., and Wilson T. Friction factors for small diameter plastic pipes. J Hydraul Eng 115 2 (1989) 183-192
32. Watters GZ, Keller J. Trickle irrigation tubing hydraulics. Presented at the Summer Meeting of ASAE, Utah State University, Logan, Utah; 1978. p. 78-2015.
33. Watters GZ, Urbina J, Keller J. Trickle irrigation emitter hose characteristics. In: Proc. int. agr. plastic congr. San Diego, Calif.; 1977. p. 67-72.
34. Williams G.S., and Hazen A. Hydraulic tables. 3rd ed. (1933), Wiley, New York Revised, p. 1-8
35. Wu I.P., and Gitlin H.M. Drip irrigation lateral line network designs. Trans ASAE 25 3 (1984) 675-685
36. Wu I.P., Gitlin H.M., Solomon K.H., and Saruwatari C.A. In: Nakayama F.S., and Bucks D.A. (Eds). Design principles: trickle irrigation for crop production (1986), Elsevier Science Publishers, BV, Amsterdam, The Netherlands 53-92
37. Xiong L., Shamseldin A.Y., and O'Connor M.K. A non-linear combination of the forecasts of rainfall-runoff models by the first order Takagi-Sugeno fuzzy system. J Hydrol 245 (2001) 196-217
38. Yi{dotless}ldi{dotless}ri{dotless}m G. Hydraulic analysis and direct design of multiple outlets pipelines laid on flat and sloping lands. J Irrig Drain Eng, ASCE 132 6 (2006) 537-552
39. Yi{dotless}ldi{dotless}ri{dotless}m G. Analytical relationships for designing multiple outlets pipelines. J Irrig Drain Eng, ASCE 133 2 (2007) 140-154
40. Yi{dotless}ldi{dotless}ri{dotless}m G. An assessment of hydraulic design of trickle laterals considering effect of minor losses. Irrig Drain (ICID J) 56 4 (2007) 399-421
41. Yi{dotless}ldi{dotless}ri{dotless}m G. Determining operating inlet pressure head incorporating uniformity parameters for multioutlet plastic pipelines. J Irrig Drain Eng, ASCE 134 3 (2008) 341-348
42. Yi{dotless}ldi{dotless}ri{dotless}m G. Simplified procedure for hydraulic design of small-diameter plastic pipes. Irrig Drain (ICID J), 2008; doi:10.1002/ird.419.
43. Yi{dotless}ldi{dotless}ri{dotless}m G. Discussion of 'Turbulent flow friction factor calculation using a mathematically exact alternative to the Colebrook-White equation' by Sonnad and Goudar. J Hydraul Eng, ASCE 134 8 (2008) 1185-1186
44. Yi{dotless}ldi{dotless}ri{dotless}m G. Comparative analysis of explicit approximations for the Colebrook-White equation in turbulent flow friction factor calculation. Canadian J. Civil Eng, submitted for publication.
45. Yi{dotless}ldi{dotless}ri{dotless}m G., and Aǧi{dotless}ralioǧlu N. Linear solution for hydraulic analysis of tapered microirrigation laterals. J Irrig Drain Eng, ASCE 130 1 (2004) 78-87
46. Yi{dotless}ldi{dotless}ri{dotless}m G., and Aǧi{dotless}ralioǧlu N. Comparative analysis of hydraulic calculation methods in design of microirrigation laterals. J Irrig Drain Eng, ASCE 130 3 (2004) 201-217