Approximation of the Friction Integral in Water Hammer Equations
Authors: Chyr Pyng Liou [email protected] and E. Benjamin Wylie [email protected]Author Affiliations
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.
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Copyright
© 2014 American Society of Civil Engineers.
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
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Professor, Civil Engineering, Univ. of Idaho, Moscow, ID 83844-1022 (corresponding author). E-mail: [email protected]; [email protected]
Emeritus Professor, Civil and Environmental Engineering, Univ. of Michigan, Ann Arbor, MI 48109-2125. E-mail: [email protected]
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