TECHNICAL PAPERS
Dec 1, 1985

Dimensionless Formulation of Furrow Irrigation

Publication: Journal of Irrigation and Drainage Engineering
Volume 111, Issue 4

Abstract

The equations governing the flow of water in irrigation furrows are put in nondimensional form by expressing each variable therein in ratio to an appropriate reference variable. Two systems of reference variables are considered, one based on normal depth in the given furrow geometry at the given inflow, the other on the given inflow and cutoff time. The first is especially valuable because of the clear physical significance of normal depth, but it is useless in horizontal furrows. The second system is pertinent to furrows set on any slope. The matter of choosing a system of reference variables is viewed in some generality to allow application to other systems, suitable for special applications, in particular, design applications. A set of formulas is presented for translation from one system to the other. The necessary input for a completely nondimensional treatment of furrow irrigation is outlined, and the concept of hypothetical dimensioned furrows is introduced. This is designed to provide a physical significance to variables entered in dimensionless form as input to a mathematical model of furrow irrigation.

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References

1.
Clemmens, A. J., and Strelkoff, T., “Dimensionless Advance for Level‐Basin Irrigation,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 105, No. IR3, Proc. Paper 14820, Sept., 1979, pp. 259–273.
2.
Clemmens, A. J., Strelkoff, T., and Dedrick, A. R., “Development of Solutions for Level‐Basin Design,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 107, No. IR3, Proc. Paper 16503, Sept., 1981, pp. 265–279.
3.
Hart, W. E., Bassett, D. L., and Strelkoff, T., “Surface Irrigation Hydraulics—Kinematics,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 94, No. IR4, Proc. Paper 6284, Dec., 1968, pp. 419–440.
4.
Fangmeier, D. D., and Strelkoff, T., “Mathematical Models and Border Irrigation Design,” Transactions, ASAE, Vol. 22, No. 1, 1979, pp. 93–99.
5.
Katopodes, N. D., and Strelkoff, T., “Dimensionless Solutions of Border‐Irrigation Advance,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 103, No. IR4, Proc. Paper 13400, Dec., 1977, pp. 401–417.
6.
Kruse, G., “Flow Resistance in Simulated Irrigation Borders and Furrows,” Conservation Research Report No. 3, Agricultural Research Service, USDA, 1965.
7.
Sayre, W. W., and Albertson, M. L., “Roughness Spacing in Rigid Open Channels,” ASCE, Journal of the Hydraulic Engineering Division, Vol. 87, HY3, 1961, pp. 121–150.
8.
Shafique, M. S., “Zero‐Inertia Model for Basin‐Furrow Irrigation,” thesis presented to Colorado State University, at Fort Collins, CO, in 1984, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
9.
Strelkoff, T., and Clemmens, A. J., “Dimensionless Stream Advance in Sloping Borders,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 107, No. IR4, Proc. Paper 16747, Dec., 1981, pp. 361–382.
10.
Strelkoff, T., and Souza, F., “Modeling Effect of Depth in Furrow Infiltration,” Journal of Irrigation and Drainage Engineering, ASCE, Vol. 110, No. IR4, Dec., 1984.
11.
Strelkoff, T., “BRDRFLW: A Mathematical Model of Border Irrigation,” U.S. Department of Agriculture, Agricultural Research Service ARS, to be published.
12.
Walker, W. R., “Optimizing Surface Irrigation Performance,” Proceedings, 1984 Irrigation and Drainage Division Specialty Conference held in Flagstaff, AZ, July 24–26, 1984.
13.
Waterways Experiment Station, “Floods Resulting from Suddenly Breached Dams,” Miscellaneous Paper No. 2‐374, Report 2, Conditions of High Resistance, U.S. Army Corps of Engineers, Vicksburg, MS, 1961.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 111Issue 4December 1985
Pages: 380 - 394

History

Published online: Dec 1, 1985
Published in print: Dec 1985

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Theodor Strelkoff, M. ASCE
Hydr. Engr., 136 Seventh Ave., San Francisco, CA 94118

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