Technical Notes
Feb 5, 2014

Approximation of the Friction Integral in Water Hammer Equations

Publication: Journal of Hydraulic Engineering
Volume 140, Issue 5

Abstract

A method is proposed to improve the accuracy of the approximation commonly used with the friction term in the water hammer equations. This method partially corrects the truncation error of the friction integral by incorporating the truncation error associated with a linear flow profile into the solution algorithm. The effectiveness and utility of this accuracy enhancement are demonstrated by examples.

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References

Burden, R. L., Faires, J. D., and Reynolds, A. C. (1981). Numerical analysis, 2nd Ed., PWS Publishers, Boston, MA.
Liou, C. P., and Wylie, E. B. (2014). Water hammer in handbook of fluid dynamics, Chapter 11, 2nd Ed., Richard W. Johnson, ed., CRC Press, Boca Raton, Fl.
Streeter, V. L., and Wylie, E. B. (1967). Hydraulic transients, McGraw Hill, New York.
Wylie, E. B., and Streeter, V. L. (1978). Fluid transients, McGraw-Hill, New York.
Wylie, E. B., and Streeter, V. L. (1993). Fluid transients in systems, Prentice Hall, Englewood Cliffs, NJ.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 140Issue 5May 2014

History

Received: Jan 6, 2013
Accepted: Jan 14, 2014
Published online: Feb 5, 2014
Published in print: May 1, 2014
Discussion open until: Jul 5, 2014

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Authors

Affiliations

Chyr Pyng Liou [email protected]
P.E.
M.ASCE
Professor, Civil Engineering, Univ. of Idaho, Moscow, ID 83844-1022 (corresponding author). E-mail: [email protected]; [email protected]
E. Benjamin Wylie [email protected]
P.E.
F.ASCE
Emeritus Professor, Civil and Environmental Engineering, Univ. of Michigan, Ann Arbor, MI 48109-2125. E-mail: [email protected]

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