TECHNICAL PAPERS
Jul 1, 1997

Volume Balance Irrigation Advance Equation: Variation of Surface Shape Factor

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Publication: Journal of Irrigation and Drainage Engineering
Volume 123, Issue 4

Abstract

In application of the volume balance (VB) models, it is generally assumed that the average depth of surface water is constant. This basic assumption may cause significant errors in computing advance. In this paper an accurate algebraic VB equation is developed to predict the advance phase in surface irrigation. In the suggested analysis the average surface water depth is considered to be variable in time. By systematic analysis of accurate kinematic-wave (KW) numerical solutions, the behavior of the surface profile shape factor used in the VB equation is examined. A new equation describing the time dependence of the surface shape factor is derived. Comparison tests indicated that the suggested variable surface shape factor VB equation produces essentially the same results as the KW numerical method. The suggested equation is improved for the case of level or low sloping borders.

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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.
Hall, W. A.(1956). “Estimating irrigation border flow.”Agr. Engrg., 37(4), 263–265.
3.
Hart, W. E., Bassett, D. L., and Strelkoff, T. S.(1968). “Surface irrigation hydraulics-kinematics.”J. Irrig. and Drain. Div., ASCE, 94(4), 419–440.
4.
Jaynes, D. B.(1986). “Simple model of border irrigation.”J. Irrig. and Drain. Engrg., ASCE, 112(2), 172–184.
5.
Katopodes, N. D., and Strelkoff, T.(1977). “Dimensionless solutions for border irrigation advance.”J. Irrig. and Drain. Div., ASCE, 103(4), 401–417.
6.
Strelkoff, T., and Katopodes, N. D.(1977). “Border irrigation hydraulics with zero-inertia.”J. Irrig. and Drain. Div., ASCE, 103(3), 325–342.
7.
Valiantzas, J. D.(1994). “Simple method for identification of border infiltration and roughness characteristics.”J. Irrig. and Drain. Engrg., ASCE, 120(2), 233–249.
8.
Valiantzas, J. D. (1997). “Surface irrigation advance equation: variation of subsurface shape factor.”J. Irrig. and Drain. Engrg., ASCE, 123(4).
9.
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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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 123Issue 4July 1997
Pages: 307 - 312

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Published online: Jul 1, 1997
Published in print: Jul 1997

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Authors

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John D. Valiantzas
Asst. Prof., Lab. of Agric. Hydr., Agric. Univ. of Athens, 75 Iera Odos, 11855 Athens, Greece.

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