TECHNICAL PAPERS
Feb 1, 1988

Furrow Advance Using Simple Routing Models

Publication: Journal of Irrigation and Drainage Engineering
Volume 114, Issue 1

Abstract

Two simple models are developed to predict the advance rate of flow in furrows. The first model is developed using a modified version of Muskingum flood‐routing techniques. The second model is developed by assuming that the flow is approximately steady within each furrow reach. Both models use power functions to describe the surface and subsurface profiles. The models are compared to observed furrow data on three different farms. For furrows that quickly reach steady‐state infiltration and have relatively high infiltration losses, both models predict the advance times reasonably well. For furrows that gradually reach steady‐state infiltration and have relatively low infiltration losses, the Muskingum model predicts observed values with good accuracy, whereas the steady flow‐rate model greatly overpredicted the advance rate.

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References

1.
Cunge, J. A. (1969). “On the subject of a flood propagation computation method (Muskingum method).” J. Hydr. Res., 7(2), 205–230.
2.
Dooge, J. C., Strupczewski, W. B., and Napiorkowski, J. J. (1982). “Hydrodynamic derivation of storage parameters of the Muskingum model.” J. Hydrol., 54, 371–387.
3.
Elliott, R. L. (1981). “Zero‐inertia furrow irrigation modeling applied to the derivation of infiltration parameters.” thesis presented to Colorado State University, at Fort Collins, Colo., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
4.
Elliott, R. L., Walker, W. R., and Skogerboe, G. V. (1982). “Zero‐inertia modeling of furrow irrigation advance.” J. Irrig. Drain. Div., ASCE, 108(3), 179–195.
5.
Katopodes, N. D. (1974). “Shallow water equations at low Froude numbers.” thesis presented to the University of California, at Davis, Calif., in partial fulfillment of the requirements for the degree of Master of Science.
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Ponce, V. M., and Yevjevich, V. (1978). “Muskingum‐Cunge method with variable parameter.” J. Hydr. DM., ASCE, 104(12), 1663–1667.
7.
Singh, V. P., and Scarlatos, P. D. (1987). “A Muskingum type model for surface irrigation.” Int. Conf. Infiltration Development Application, Honolulu, Hawaii, 189–201.
8.
Strelkoff, T., and Katopodes, N. D. (1977). “Border irrigation hydraulics with zero inertia,” J. Irrig. Drain. Div., ASCE, 103(3), 325–342.
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Viessman, W., et al. (1977). Introduction to hydrology, 2nd ed., Harper and Row Publishers, New York, N.Y., 231–283.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 114Issue 1February 1988
Pages: 104 - 117

History

Published online: Feb 1, 1988
Published in print: Feb 1988

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Authors

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Bruce N. Wilson
Asst. Prof., Agric. Engrg. Dept., Oklahoma State Univ., Stillwater, OK 74078
Ronald L. Elliott
Assoc. Prof., Agric. Engrg. Dept., Oklahoma State Univ., Stillwater, OK 74078

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