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Sep 1, 1998

Limitations and Proper Use of the Hazen-Williams Equation

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Publication: Journal of Hydraulic Engineering
Volume 124, Issue 9

Abstract

The Hazen-Williams equation is used widely in water supply and sanitary engineering. This equation uses a constant, the Hazen-Williams C, to indicate the roughness of a pipe interior. Because of the empirical nature of the equation, its range of applicability is limited. Many textbooks and software manuals give C values based on pipe type, condition, and age but do not give the range of applicability. Historic experimental data is used to demonstrate that C is a strong function of Reynolds number and pipe size and that the Hazen-Williams equation has narrow applicable ranges for Reynolds numbers and pipe sizes. The level of error when the Hazen-Williams equation is used outside its data ranges is significant. However, a valid C for a given pipe at a specific Reynolds number can be used to estimate a pipe's relative roughness, which then can be used by the rational Darcy-Weisbach equation without the range limitations. A method for doing so is given.

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References

1.
Babbitt, H. E., Doland, J. J., and Cleasby, J. L. (1962). Water supply engineering. McGraw-Hill, Inc., New York, N.Y.
2.
Barr, D. I. H.(1975). “Two additional methods of direct solution of the Colebrook-White function.”Proc., of Inst. of Civ. Engrs., 59, 827.
3.
Bauer, W. J., Louie, D. S., and Voorduin (1969). “Section 2—basic hydraulics.”Handbook of applied hydraulics, C. V. Davis, ed., McGraw-Hill, Inc. New York, N.Y. 10.
4.
Daugherty, R. L., and Franzini, J. B. (1965). Fluid mechanics with engineering applications, 6th Ed., McGraw-Hill Inc., New York, N.Y.
5.
Delleur, J. W. (1995). “Chapter 35—hydraulic structures.”The civil engineering handbook, W. F. Chen, ed., CRC Press, Inc., Boca Raton, Fla., 1129–1130.
6.
Hudson, W. D.(1966). “Studies of distribution system capacity in seven cities.”J. Am. Water Works Assoc., 58(2), 157–164.
7.
Hwang, N. H. C., and Hita, C. E. (1987). Fundamentals of hydraulic engineering systems, 2nd Ed., Prentice-Hall, Inc., Englewood Cliffs, N.J.
8.
Linsley, R. K., and Franzini, J. B. (1972). Water-resources engineering, 2nd Ed., McGraw-Hill, Inc., New York, N.Y., 298–300.
9.
Metcaff and Eddy Inc., (1972). Wastewater Engineering, McGraw-Hill Inc., New York, N.Y.
10.
Moody, L. F.(1944). “Friction factors for pipe flow.”Trans. of the Am. Soc. of Mech. Engrs., 66, 671–684.
11.
Potter, M. C., and Wiggert, D. C. (1997). Mechanics of fluids, 2nd Ed., Prentice-Hall, Inc., Englewood Cliffs, N.J., 526–528.
12.
Roberson, J. A., Cassidy, J. J., and Chaudhry, M. H. (1988). Hydraulic engineering. Houghton Mifflin Co., Boston, Mass., 252–253.
13.
Rossman, L. A. (1994). EPANET Users Manual, Version 1.1. Risk Reduction Laboratory, Office of Research and Development, U.S. Environmental Protection Agency, Washington, D.C.
14.
Round, G. F.(1980). “An explicit approximation for the friction factor—Reynolds number relation for rough and smooth pipes.”Can. J. Chemical Engrs., 58, 122–123.
15.
Simon, A. L. (1986). Hydraulics, 3rd Ed., John Wiley & Sons, Inc., New York, N.Y., 101–102.
16.
Stephenson, D. (1981). Pipeline design for water engineers, 2nd Ed., Elsevier Scientific Publishing Co., Amsterdam, The Netherlands, 17–18.
17.
Street, R. L., Watters, G. Z., and Vennard, J. K. (1996). Elementary fluid mechanics. 7th Ed., John Wiley & Sons, Inc., New York, N.Y., 353–356.
18.
Streeter, V. L., and Wylie, E. B. (1985). Fluid mechanics, 8th Ed., McGraw-Hill, Inc., New York, N.Y.
19.
Swamee, P. K., and Jain, A. K.(1976). “Explicit equations for pipe-flow problems.”J. Hydr. Div., ASCE, 102(5), 657–664.
20.
Vennard, J. K. (1961). Elementary fluid mechanics, 4th Ed., John Wiley & Sons, Inc., New York, N.Y., 303–304.
21.
Viessman, W. Jr., and Hammer, M. J. (1985). Water supply and pollution control, 4th Ed., Harper & Row Publishers, Inc., New York, N.Y., 108–109.
22.
Williams, G. S., and Hazen, A. (1933). Hydraulic tables, 3rd Ed., Revised, John Wiley & Sons, Inc., New York, N.Y., 1–8.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 124Issue 9September 1998
Pages: 951 - 954

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Published online: Sep 1, 1998
Published in print: Sep 1998

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Chyr Pyng Liou, Member, ASCE
Prof., Dept. of Civ. Engrg., Univ. of Idaho, Moscow, ID 83844.

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