Istrazivanja i projektovanja za privreduJournal of Applied Engineering Science


ISSN: 1451-4117

E-ISSN: 1821-31977
Volume 6 number 22, pages: 7 - 18

Dejan Brkic
University of Belgrade, Faculty of Mining and Geology, Belgrade, Serbia

Accent is on determination of appropriate friction factor, and on selection of representative equation for natural gas flow under presented conditions in the network. In this paper is shown method for the hydraulic solution of a looped gas-pipeline networks for valuable condition in the network. Inappropriate usage of friction factor, equally as inappropriate usage of gas flow equation can lead to inaccurate final results. Causes for these deviations are investigated in one real case, and improved and more accurate procedure is shown.

View article

1. Altshul, A.D. (1982) Godravliceskije soprotovlenije. Moscow: Nedra

2. Blasius, H. (1908) Grenzschichten in Flüssigkeiten mit kleiner Reibung / The boundary layers in fluids with little friction. Z. Angew. Math. Phys, 56, 1-37, English translation in Technical Memorandum 1256; NACA, Washington 1950

3. Brkić, D., Tanasković, T. (2008) Unapređenje metode kontura prilagođene za proračun gasnih distributivnih mreža. u: Konferencija XXXV Sym-op-is, 97-100

4. Brkić, D. (2008) Nonlinear programming offers way to optimize looped pipeline network analysis: One improved method. u: Konferencija Nonlinear systems and optimization techniques, 06. -10. Oct., Budva, Montenegro, CANU, u štampi

5. Brkić, D. (2009) An improvement of hardy cross method applied on looped spatial natural gas distribution networks. Appl. Energ, 86 (7-8): 1290-1300

6. Brkić, D. (2005) Projektovanje posebne klase gasnih distributivnih mreža. Istraživanja i projektovanja za privredu, vol. 3, br. 9, str. 49-56

7. Brkić, D. (2005) Kriterijumi za prekid iterativnog postupka pri proračunu gasne distributivne mreže sa prstenovima. Tehnička dijagnostika, vol. 4, br. 3-4, str. 71-75

8.Brkić, D. (2006) Prirodni gas kao gorivo za grejanje. Beograd: Zadužbina Andrejević

9.Brkić, D., Đajić, N. (2005) Povećanje tačnosti pri proračunu gasne distributivne mreže Hardi-Kros metodom. u: Symopis (XXXII), Vrnjačka Banja

10.Chen, N.H. (1979) An explicit equation for friction factor in pipe. Industrial & Engineering Chemistry Fundamentals, 18(3): 296

11. Churchill, S.W. (1977) Friction-factor equation spans all fluid-flow regimes. Chemical Engineering, Nov, 7, 91 -92

12.Coelho, P.M., Pinho, C. (2007) Considerations about equations for steady state flow in natural gas pipelines. J. of the Brazilian Society of Mechanical Sciences and Engineering, 29 (3) 262- 273

13.Colebrook, C.F. (1939) Turbulent flow in pipes with particular reference to the transition region between the smooth and rough pipe laws. J. Inst. Civil Engr, 11 133-156

14. Colebrook, C.F., White, C.M. (1937) Experiments with fluid friction in roughened pipes. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences (1934-1990), 161(906): 367

15.Cross, H. (1936) Analysis of flow in networks of conduits or conductors. Engineering Experimental Station Bulletin, br. 286, novembar

16. Darcy, H. (1857) Recherches Expérimentales Relatives au Mouvement de L' Eau dans les Tuyaux. Paris: Mallet-Bachelier

17. Epp, R., Fowler, A.G. (1970) Efficient code for steady-state flows in networks. Journal of the hydraulics division, str. 43/57

18. Kim, S. (2007) Impedance matrix method for transient analysis of complicated pipe networks. Journal of Hydraulic Research, 45 (6), 818-828

19. Langelandsvik, L.I., Kunkel, G.J., Smits, A.J. (2008) Flow in a commercial steel pipe. Journal of Fluid Mechanics, 595 (25), 323-339

20. Manojlović, V., Arsenović, M., Pajović, V. (1994) Optimized design of a gas-distribution pipeline network. Applied Energy, br. 48, str. 217-224

21. Moody, L.F. (1944) Friction factors for pipe flow. J. Appl. Mech. T. ASME., 66 (8) 671-684

22. Moody, L.F. (1947) An approximate formula for pipe friction factors. J. Appl. Mech. T. ASME., 69 (12) 1005-1006

23. Nekrasov, B. (1969) Hydraulics for aeronautical engineers. Moscow: Mir publishers

24. Nikuradse, J. (1933) Strömungsgezetze in rauchen Rohren / Laws of fluid in rough pipes. Berlin: Verlag, English translation in Technical Memorandum 1292; NACA, Washington, 1950

25. Obrović, B., Šašić, M. (1990) Hidraulika. Beograd: Naučna knjiga

26. Prstojević, B., Đajić, N., Vuletić, V. (2005) Distribucija prirodnog gasa. Beograd: Rudarsko-geološki fakultet

27. Renouard, M.P. (1952) Nouvelles règles à calcul pour la détermination des pertes de charge dans les conduites de gaz. Journal des Usines à Gaz, 10, 337-339

28. Renouard, P. (1962) Méthode de calcul concernant l'écoulement du gaz en conduits. Travaux, 329, 179-182

29. Reynolds, O. (1883) An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and the law of resistance in parallel channels. Philosophical Transactions of the Royal Society of London, 174, 935-982

30. Roberson, J.A., Crowe, C.T. (1985) Engineering fluid mechanics. Boston: Houghton Mifflin Company

31. Romeo, E., Royo, C., Monzón, A. (2002) Improved explicit equations for estimation of the friction factor in rough and smooth pipes. Chemical Engineering Journal, 86(3): 369

32. Round, G.F. (1980) An explicit approximation for the friction-factor Reynolds number relation for rough and smooth pipes. Can. J. Chem. Eng, 58 (1) 122-123

33. Samani, H.M.V., Naeeni, S.T. (1996) Optimization of water distribution networks. Journal of Hydraulic Research, 34 (5), 623-632

34. Shifrinson, B.L. (1937) New method for district water system optimization. Heat and Power, 2, 4-9

35. Smidt, R. (2002) Review of modeling software for piped distribution networks. St. Galen: Scat Foundation,

36. Sorbu, I., Borza, I. (1997) Optimal design of water distribution networks. Journal of Hydraulic Research, 35 (1), 63-79

37. Swamee, P.K., Jain, A.K. (1976) Explicit equations for pipe-flow problems. ASCE J Hydraul Div, 102 (5) 657-664

38. von Bernuth, R.D., Wilson, T. (1989) Friction factors for small diameter plastic pipes. J. Hydraul. Eng. ASCE, 115 (2) 183-192