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Jun 15, 2017

Closure to “Exact Analytical Solutions of the Colebrook-White Equation” by Yozo Mikata and Walter S. Walczak

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Publication: Journal of Hydraulic Engineering
Volume 143, Issue 9
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References

Boyd, J. P. (1998). “Global approximations to the principal real-valued branch of the Lambert W-function.” Appl. Math. Lett., 11(6), 27–31.
Brkić, D. (2011). “W solutions of the CW equation for flow friction.” Appl. Math. Lett., 24(8), 1379–1383.
Churchill, S. W. (1977). “Friction factor equation that spans all fluid-flow regimes.” Chem. Eng., 84(24), 91–92.
Clamond, D. (2009). “Efficient resolution of the Colebrook equation.” Ind. Eng. Chem. Res., 48(7), 3665–3671.
Colebrook, C. F. (1939). “Turbulent flow in pipes with a particular reference to the transition region between smooth and rough pipe laws.” J. Inst. Civil Eng., 11(4), 133–156.
Colebrook, C. F., and White, C. M. (1937). “Experiments with fluid-friction in roughened pipes.” Proc., R. Soc. London, 161(906), 367–381.
Haaland, S. E. (1983). “Simple and explicit formulas for the friction factor in turbulent flow.” J. Fluids Eng., 105(1), 89–90.
Keady, G. (1998). “The Colebrook-White formula for pipe flows.” J. Hydr. Eng., 96–97.
Moody, L. F. (1944). “Friction factors for pipe flow.” Trans. ASME, 66(8), 671–678.
Moody, L. F. (1947). “An approximate formula for pipe friction factors.” Trans. ASME, 69(12), 1005–1006.
Serghides, T. K. (1984). “Estimate friction factor accurately.” Chem. Eng., 91(5), 63–64.
Sonnad, J. R., and Goudar, C. T. (2006). “Turbulent flow friction factor calculation using a mathematically exact alternative to the Colebrook-White equation.” J. Hydraul. Eng., 863–867.
Wood, D. J. (1966). “An explicit friction factor relationship.” Civ. Eng., 36(12), 60–61.
Zigrang, D. J., and Sylvester, N. D. (1982). “Explicit approximations to the Colebrook’s friction factor equation.” AIChE J., 28(3), 514–515.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 143Issue 9September 2017

History

Received: Oct 20, 2016
Accepted: Mar 6, 2017
Published online: Jun 15, 2017
Published in print: Sep 1, 2017
Discussion open until: Nov 15, 2017

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Authors

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Yozo Mikata [email protected]
Structural Methods Development, Bechtel, Schenectady, NY 12301 (corresponding author). E-mail: [email protected]
Walter S. Walczak
Thermal-Hydraulic Analysis, Bechtel, Schenectady, NY 12301.

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