TECHNICAL PAPERS
Jan 1, 1999

Explicit Time of Advance Formula for Furrow Design

Publication: Journal of Irrigation and Drainage Engineering
Volume 125, Issue 1

Abstract

The behavior of the dimensionless advance curves obtained numerically for various values of infiltration parameter is systematically analyzed. It was found that when the advance problem is expressed in terms of new variables conveniently selected, the various advance curves can be described by a single curve independent of infiltration parameter. A simple, explicit, time of advance formula that fits the single curve previously reported is derived. Comparison tests indicate that when an adjusted shape factor for the surface profile is used, the predictions of the proposed formula are in agreement with accurate kinematic wave numerical solutions. An optimal design procedure for furrow irrigation using the above formula is presented.

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References

1.
Al-Azba, A., and Strelkoff, T. (1994). “Correct form of Hall technique for border irrigation advance.”J. Irrig. and Drain. Engrg., ASCE, 120(2), 292–307.
2.
Bassett, D. L., Fangmeier, D. D., and Strelkoff, T. ( 1968). “Hydraulics of surface irrigation.” Design and operation of farm irrigation systems, ASAE monograph #3, M. E. Jensen, ed., American Society of Architectural Engineers, St. Joseph, Mich.
3.
Elliott, R. I., and Walker, W. R. ( 1982). “Field evaluation of furrow infiltration and advance functions.” Trans. ASAE, 25(2), 396–400.
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Fok, Y. S., and Bishop, A. A. (1965). “Analysis of water advance in surface irrigation.”J. Irrig. and Drain. Div., ASCE, 91(1), 99–117.
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Hall, W. A. ( 1956). “Estimating irrigation border flow.” Agric. Engrg., 37(4), 263–265.
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Valiantzas, J. D. (1997a). “Surface irrigation advance equation: Variation of subsurface shape factor.”J. Irrig. and Drain. Engrg., ASCE, 123(4), 300–306.
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Valiantzas, J. D. (1997b). “Volume balance irrigation advance equation: Variation of surface shape factor.”J. Irrig. and Drain. Engrg., ASCE, 123(4), 307–312.
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Walker, W. R., and Humpherys, A. (1983). “Kinematic wave furrow irrigation model.”J. Irrig. and Drain. Div., ASCE, 109(4), 377–392.
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Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 125Issue 1January 1999
Pages: 19 - 25

History

Received: Jun 26, 1997
Published online: Jan 1, 1999
Published in print: Jan 1999

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Authors

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John D. Valiantzas
Asst. Prof., Lab. of Agric. Hydr., Agric. Univ. of Athens, Athens 11855, Greece.

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