A novel explicit equation for friction factor in smooth and rough pipes

Journal of Fluids Engineering, Transactions of the ASME

Volumn 131, Issue 6, 2009, Pages 0612031-0612034

  Avci, Atakan ^a   Karagoz, Irfan ^a  

^a ULUDAG UNIVERSITY   (Turkey)

Author keywords

Boundary layers; Friction factor; Mathematical modeling; Turbulent flows

Indexed keywords

COLEBROOK EQUATION; EXPERIMENTAL DATA; EXPLICIT EQUATIONS; FRICTION FACTORS; IN-PIPE; MATHEMATICAL MODELING; MODEL CONSTANTS; MOODY CHART; VELOCITY PROFILES;

BOUNDARY LAYERS; COMPUTER SIMULATION; PIPE; REYNOLDS NUMBER; TRIBOLOGY; TURBULENT FLOW;

FRICTION;

EID: 77955286115     PISSN: 00982202     EISSN: 1528901X     Source Type: Journal    
DOI: 10.1115/1.3129132     Document Type: Article

References (23)

1. Prandtl, L., 1933, "Neuere ergebnisse der turbulenzforschung," VDI Z. (1857- 1968), 77, pp. 105-114.
2. Zagarola, M. V., Perry, A. E., and Smits, A. J., 1997, "The Scaling in the Overlap Region," Phys. Fluids, 9, pp. 2094-2100.
3. McKeon, B. J., Zagarola, M. V., and Smits, A. J., 2005, "A New Friction Factor Relationship for Fully Developed Pipe Flow," J. Fluid Mech., 538, pp. 429-443.
4. Nikuradse, J., 1932, "Laws of Turbulent Flow in Smooth Pipes," NASA, Report No. TT F-10.
5. White, F. M., 1999, Viscous Fluid Flow, 4th ed., McGraw-Hill, New York.
6. Moody, L. F., 1947, "An Approximate Formula for Pipe Friction Factors," Trans. ASME, 69, pp. 1005-1006.
7. Swamee, P. K., and Jain, A. K., 1976, "Explicit Equations for Pipe Flow Problems," J. Hydr. Div., 102(5), pp. 657-664.
8. Chen, N. H., 1979, "An Explicit Equation for Friction Factor in Pipe," Ind. Eng. Chem. Fundam., 18(3), pp. 296-297.
9. Churchill, S. W., 1977, "Friction Factor Equation Spans All Fluid-Flow Regimes," Chem. Eng. J., 84(24), pp. 91-92.
10. Wood, D. J., 1966, "An Explicit Friction Factor Relationship," Civ. Eng. (N.Y.), 36(12), pp. 60-61.
11. Colebrook, C. F., 1939, "Turbulent Flow in Pipes With Particular Reference to the Transition Region Between the Smooth and the Rough Pipe Laws," J. Inst. Civ. Eng., 11, pp. 133-156.
12. Haaland, S. E., 1983, "Simple and Explicit Formulas for the Skin Friction in Turbulent Pipe Flow," ASME J. Fluids Eng., 105, pp. 89-90.
13. Romeo, E., Royo, C., and Monzon, A., 2002, "Improved Explicit Equations for Estimation of the Friction Factor in Rough and Smooth Pipes," Chem. Eng. J., 86, pp. 369-374.
14. Prandtl, L., 1932, "Zur turbulenten strömung in rohren und langs platten," Ergebnisse der Aerodynamischen Versuchsanstalt zu Gottingen, 4, pp. 18-29.
15. von Karman, T., 1930, "Mechanische ahnlichkeit und turbulenz," Nachr. Ges. Wiss. Goettingen, Math.-Phys. Kl., 5, pp. 58-76.
16. Millikan, C. M., 1938, "A Critical Discussion of Turbulent Flows in Channels and Circular Tubes," Proceedings of the Fifth International Congress on Applied Mechanics, pp. 386-392.
17. Zanoun, E. S., Durst, F., and Nagib, H. M., 2003, "Evaluating the Law of the Wall in Two-Dimensional Fully Developed Turbulent Channel Flows," Phys. Fluids, 15, pp. 3079-3089.
18. McKeon, B. J., Li, J., Jiang, W., Morrison, J. F., and Smits, A. J., 2004, "Further Observations on the Mean Velocity Distribution in Fully Developed Pipe Flow," J. Fluid Mech., 501, pp. 135-147.
19. Wosnik, M., Castillo, L., and George, W. K., 2000, "A Theory for Turbulent Pipe and Channel Flows," J. Fluid Mech., 421, pp. 115-145
20. Clauser, F. H., 1956, "The Turbulent Boundary Layer," Adv. Appl. Mech., 4, pp. 1-51.
21. Zagarola, M. V., and Smits, A. J., 1998, "Mean-Flow Scaling of Turbulent Pipe Flow," J. Fluid Mech., 373, pp. 33-79.
22. Zanoun, E. S., Durst, F., Bayoumy, O., and Al-Salaymeh, A., 2007, "Wall Skin Friction and Mean Velocity Profiles of Fully Developed Turbulent Pipe Flows," Exp. Therm. Fluid Sci., 32, pp. 249-261.
23. Moody, L. F., 1944, "Friction Factors for Pipe Flow," Trans. ASME, 66, pp. 671-684.