Gene expression programming analysis of implicit Colebrook-White equation in turbulent flow friction factor calculation

Journal of Petroleum Science and Engineering

Volumn 92-93, Issue , 2012, Pages 48-55

  Samadianfard, Saeed ^a  

^a UNIVERSITY OF TABRIZ   (Iran)

Author keywords

Approximations; Colebrook White friction factor; Darcy Weisbach equation; Gene expression programming; Turbulent flow

Indexed keywords

APPROXIMATIONS; COMPARISON TEST; DARCY-WEISBACH EQUATION; ENGINEERING PROFESSION; FLOW FRICTIONS; FRICTION COEFFICIENTS; FRICTION FACTORS; GENE EXPRESSION PROGRAMMING; GENETIC PROGRAMMING-BASED TECHNIQUES; GRID POINTS; HEAD LOSS; HYDRAULIC DESIGNS; LONG PIPE; LONG TERM SIMULATION; PRACTICAL PROBLEMS; STATISTIC PARAMETERS; TIME STEP;

ESTIMATION; FRICTION; GENETIC PROGRAMMING; PROFESSIONAL ASPECTS; TURBULENT FLOW;

OPEN CHANNEL FLOW;

FLUID MECHANICS; FRICTION; HYDRAULIC HEAD; NUMERICAL MODEL; PIPE FLOW; TURBULENT FLOW;

EID: 84863666559     PISSN: 09204105     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.petrol.2012.06.005     Document Type: Article

References (44)

1. Avci A., Karagoz I. A novel explicit equation for friction factor in smooth and rough pipes. J. Fluid. Eng. ASME 2009, 131(6):1-4.
2. Aytac A., Kishi O. A genetic programming approach to suspended sediment modelling. J. Hydrol. 2008, 351:288-298.
3. Banzhaf W., Nordin P., Keller R.E., Francone F.D. Genetic Programming 1998, Morgan Kaufmann, San Francisco, CA.
4. Barr D.I.H. Solutions of the Colebrook-White function for resistance to uniform turbulent flow. Proc. Inst. Civil. Eng. 1981, 71(2):529-536.
5. Bralts V.F., Kelly S.F., Shayya W.H., Segerlind L.J. Finite element analysis of microirrigation hydraulics using a virtual emitter system. Trans. Am. Soc. Agric. Eng. 1993, 36(3):717-725.
6. Bralts V.F., Segerlind L.J. Finite element analysis of drip irrigation submain units. Trans. Am. Soc. Agric. Eng. 1985, 28(3):809-814.
7. Brater E.F., King H.W., Lindell J.E., Wei C.Y. Handbook of Hydraulics 1996, Mc-Graw-Hill. 8th ed.
8. Brki D. Review of explicit approximations to the Colebrook relation for flow friction. Petrol Sci. Tech. 2011, 77:34-48.
9. Buzzelli D. Calculating friction in one step. Mach. Des. 2008, 80(12):54-55.
10. Chen N.H. An explicit equation for friction factor in pipes. Ind. Eng. Chem. Fundam. 1979, 18(3):296-297.
11. Churchill S.W. Friction-factor equation spans all fluid flow regimes. Chem. Eng. 1977, 84(24):91-92.
12. Eck B. Technische Stromungslehre 1973, Springer, New York.
13. Ferreira, C., 2001a. Gene expression programming in problem solving, in: Sixth Online World Conference on Soft Computing in Industrial Applications (invited tutorial).
14. Ferreira C. Gene expression programming: a new adaptive algorithm for solving problems. Complex Syst. 2001, 13(2):87.
15. Ferreira C. Gene Expression Programming: Mathematical Modeling by an Artificial Intelligence 2006, Springer, Berlin, 2006, p. 478.
16. Finnemore E.J., Franzini J.B. Fluid Mechanics with Engineering Applications 2002, Mc- Graw-Hill.
17. Fuchs, M., 1998. Crossover versus mutation: an empirical and theoretical case study, in: Proceedings of the Third Annual Conference on Genetic Programming, Morgan-Kauffman, San Mateo, CA.
18. Gerrish P.J., Bralts V.F., Shayya W.H. An improved analysis of microirrigation hydraulics using a virtual emitter system. Trans. Am. Soc. Agric. Eng. 1996, 39(4):1403-1410.
19. Gerrish P.J., Shayya W.H., Bralts V.F. An improved method for incorporating pipe components into the analysis of hydraulic networks. Trans. Am. Soc. Agric. Eng. 1996, 39(4):1337-1343.
20. Goldberg D.E. Genetic Algorithms in Search Optimization, and Machine Learning 1989, Addison-Wesley, Reading, MA.
21. Haaland S.E. Simple and explicit formulas for friction factor in turbulent pipe flow. J. Fluid. Eng. ASME 1983, 105(1):89-90.
22. Haghighi K., Bralts V.F., Segerlind L.J. Finite element formulation of tee and bend components in hydraulic pipe network analysis. Trans. Am. Soc. Agric. Eng. 1988, 31(6):1750-1758.
23. Jain A.K. Accurate explicit equation for friction factor. J. Hydraul. Div. ASCE 1976, 102(HY5):674-677.
24. Kang Y., Nishiyama S. Hydraulic analysis of microirrigation submain units. Trans. Am. Soc. Agric. Eng. 1995, 38(5):1377-1384.
25. Kisi O., Guven A. Evapotranspiration modeling using linear genetic programming technique. J. Irrig. Drain. Eng. 2010, 136(10):715-723.
26. Koza J.R. Genetic Programming, On the Programming of Computers by Means of Natural Selection 1992, MIT Press, Cambridge, MA, ISBN. 0-262-11170-5.
27. Luke, S., Spector, L., 1998. A revised comparison of crossover and mutation in Genetic Programming, in: Proceedings of the Third Annual Conference on Genetic Programming, Morgan-Kauffman, Madison, San Mateo, CA.
28. Manadilli G. Replace implicit equations with signomial functions. Chem. Eng. 1997, 104(8):129-130.
29. Mohtar R.H., Bralts V.F., Shayya W.H. A finite element model for the analysis and optimization of pipe networks. Trans. Am. Soc. Agric. Eng. 1990, 34(2):393-401.
30. Moody L.F. Friction factors for pipe flow. Trans. ASME 1944, 66:671-684.
31. Moody L.F. An approximate formula for pipe friction factors. Trans. ASME 1947, 69(12):1005-1011.
32. Özger M., Yldrm G. Determining turbulent flow friction coefficient using adaptive neuro-fuzzy computing technique. Adv. Eng. Softw. 2009, 40(4):281-287.
33. Prandtl L. Essentials of Fluid Dynamics 1952, Hafner, New York, p. 50-149.
34. Rao, A.R., Kumar, B., 2007. Friction factor for turbulent pipe flow. Division of Mechanical Science, Civil Engineering, Indian Institute of Science, Bangalore, India, ID Code 9587.
35. Romeo E., Royo C., Monzon A. Improved explicit equation for estimation of the friction factor in rough and smooth pipes. Chem. Eng. J. 2002, 86(3):369-374.
36. Round G.F. An explicit approximation for the friction factor-Reynolds number relation for rough and smooth pipes. Can. J. Chem. Eng. 1980, 58(1):122-123.
37. Sonnad J.R., Goudar C.T. Turbulent flow friction factor calculation using a mathematically exact alternative to the Colebrook-White equation. J. Hydraul. Eng. ASCE 2006, 132(8):863-867.
38. Swamee P.K., Jain A.K. Explicit equations for pipe flow problems. J. Hydraul. Div. 1976, 102:657-664.
39. Ustoorikar K., Deo M.C. Filling up Gaps in Wave Data with Genetic Programming Marine Structures 2008, Elsevier, 21:177-195.
40. Von Bernuth R.D. Simple and accurate friction loss equation for plastic pipe. J. Irrig. Drain. Eng. 1990, 116(2):294-308.
41. Von Karman T. The fundamentals of the statistical theory of turbulence. J. Aero. Sci. 1934, 4:131-138.
42. Wood D.J. An explicit friction factor relationship. Civil. Eng. 1966, 36(12):60-61.
43. Yldrm G. Computer-based analysis of explicit approximations to the implicit Colebrook-White equation in turbulent flow friction factor calculation. Adv. Eng. Softw. 2009, 40(11):1183-1190.
44. Zigrang D.J., Sylvester N.D. Explicit approximations to the solution of Colebrook friction factor equation. AIChE J. 1982, 28(3):514-515.