TECHNICAL NOTES
Jul 1, 1998

Gradually Varied Flow Solutions in Newton-Raphson Form

Publication: Journal of Irrigation and Drainage Engineering
Volume 124, Issue 4

Abstract

Numerical solutions in Newton-Raphson form are presented for the standard step method of calculating the free surface profile in a gradually varied flow. The solutions are based on three different resistance equations: Chezy, Manning, and Colebrook-White.

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References

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French, R. H. (1985). Open-channel hydraulics. McGraw-Hill Book Co. Inc., New York, N.Y., 217–223.
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Henderson, F. M. (1966). Open channel flow. Macmillan, New York, N.Y., 140–147.
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Paine, J. N.(1992). “Open-channel flow algorithm in Newton-Raphson form.”J. Irrig. and Drain. Engrg., ASCE, 118(2), 306–319.
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Rhodes, D. G.(1993). “Discussion of `Open-channel flow algorithm in Newton-Raphson form,' by John N. Paine.”J. Irrig. and Drain. Engrg., ASCE, 119(5), 914–922.
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Rhodes, D. G. (1995). “Newton-Raphson solution for gradually varied flow.”J. Hydr. Res., Delft, The Netherlands, 33(2), 213–218. Reprint, 1996, Water Resour. J., No. ST/ESCAP/SER.C/191, Bangkok, Thailand, 52–56.
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Verwey, A.(1995). “Discussion of `Newton-Raphson solution for gradually varied flow,' by David G. Rhodes.”J. Hydr. Res., Delft, The Netherlands, 33(5), 731–735.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 124Issue 4July 1998
Pages: 233 - 235

History

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

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Authors

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David G. Rhodes
Lect., Cranfield Univ., Engrg. Sys. Dept., RMCS Shrivenham, Swindon, SN6 8LA, U.K.

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