DISCUSSIONS AND CLOSURES
Aug 1, 2008

Discussion of “Turbulent Flow Friction Factor Calculation Using a Mathematically Exact Alternative to the Colebrook–White Equation” by Jagadeesh R. Sonnad and Chetan T. Goudar

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Publication: Journal of Hydraulic Engineering
Volume 134, Issue 8
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Acknowledgments

The discusser thanks the editor and the anonymous reviewer for providing constructive reviews and criticism on the content of the discussion.

References

Barr, D. I. H. (1981). “Solutions of the Colebrook-White function for resistance to uniform turbulent flow.” Proc. Inst. of Civ. Eng. (UK), 2(71), 529.
Chen, N. H. (1979). “An explicit equation for friction factor in pipe.” Ind. Eng. Chem. Fundam., 18(3), 296.
Churchill, S. W. (1973). “Empirical expressions for the shear stressing turbulent flow in commercial pipe.” AIChE J., 19(2), 375–376.
Churchill, S. W. (1977). “Friction factor equation spans all fluid-flow regimes.” Chem. Eng. J., 84(24), 91–92.
Finnemore, E. J., and Franzini, J. B. (2002). Fluid mechanics with engineering applications, 10th Ed., McGraw-Hill, 268–282.
Haaland, S. E. (1983). “Simple and explicit formulas for the friction factor in turbulent pipe flow.” J. Fluids Eng., 105, 89–90.
Jain, A. K. (1976). “Accurate explicit equations for friction factor.” J. Hydr. Div., 102(4), 674–677.
Keady, G. (1998). “Colebrook-White formula for pipe flows.” J. Hydraul. Eng., 124(1), 96–97.
Larock, B. E., Jeppson, R. W., and Watters, G. Z. (2000). Hydraulics of pipeline systems, CRC Press LLC, Boca Raton, Fla.
Manadilli, G. (1997). “Replace implicit equations with signomial functions.” Chem. Eng. J., 104(7), 129.
Moody, L. F. (1947). “An approximate formula for pipe friction factors.” Trans. ASME, 69, 1005–1006.
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(3), 369–374.
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.
Sonnad, J. R., and Goudar, C. T. (2004). “Constraints for using Lambert W function-based explicit Colebrook-White equation.” J. Hydraul. Eng., 130(9), 929–931.
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., 132(8), 863–867.
Swamee, P. K., and Jain, A. K. (1976). “Explicit equations for pipe-flow problems.” J. Hydr. Div., 102(5), 657–664.
Wood, D. J. (1966). “An explicit friction factor relationship.” Civil Engineers, ASCE, 60.
Zigrang, D. J., and Sylvester, N. D. (1982). “Explicit approximations to the solution of Colebrook’s friction factor equation.” AIChE J., 28, 514–515.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 134Issue 8August 2008
Pages: 1185 - 1186

History

Received: Oct 9, 2006
Accepted: Jun 1, 2007
Published online: Aug 1, 2008
Published in print: Aug 2008

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Gürol Yıldırım, M.ASCE
Ph.D., Civil Engrg. Dept., Hydraulics Div., Istanbul Technical Univ., 34469, Maslak, Istanbul, Turkey; formerly, Aksaray Univ. (A.U.), Engrg. Faculty, Civil Engrg. Dept., Hydraulics Div., Aksaray, Turkey. E-mail: [email protected]

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