Optimal Furrow Design. II: Explicit Calculation of Design Variables
Publication: Journal of Irrigation and Drainage Engineering
Volume 127, Issue 4
Abstract
The furrow irrigation system design problem (at minimum cost) is significantly simplified by analytically solving it. For a specified furrow length, a simple algebraic equation is derived to directly calculate the appropriate inflow rate (and cutoff time) so that the minimum cost of the furrow system is obtained. The proposed equation is independent of the water and labor cost coefficients. Comparison tests indicated that the optimum inflow rate values obtained analytically were in close agreement to the optimum values obtained using the outcome of the zero-inertia numerical model. The method is extended for furrow design considering the furrow length also as a design variable. The optimum number of distribution lines and widthwise furrow sets are easily determined by a simple calculation procedure.
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References
1.
Elliott, R. L., and Walker, W. R. ( 1982). “Field evaluation of furrow infiltration and advance functions.” Trans. ASAE, 25(2), 396–400.
2.
Elliott, R. L., Walker, W. R., and Skogerboe, G. V. (1982). “Zero-inertia modeling of furrow irrigation advance.”J. Irrig. and Drain. Div., ASCE, 108(3), 179–195.
3.
Holzapfel, E., Marino, M., and Chavez-Morales, J. (1986). “Surface irrigation optimization models.”J. Irrig. and Drain. Engrg., ASCE, 112(1), 1), 1–19.
4.
Philip, J. R., and Farrell, D. A. ( 1964). “General solution of the infiltration-advance problem in irrigation hydraulics.” J. Geophys. Res., 69, 621–631.
5.
Reddy, J. M., and Apolayo, H. M. (1991). “Sensitivity of furrow irrigation system cost and design variables.”J. Irrig. and Drain. Engrg., ASCE, 117(2), 201–219.
6.
Reddy, J. M., and Clyma, W. ( 1981). “Optimal design of furrow irrigation systems.” Trans. ASAE, 24(3), 617–623.
7.
Reddy, J. M., and Clyma, W. ( 1982). “Optimizing surface irrigation system design parameters: Simplified analysis.” Trans. ASAE, 25(4), 966–974.
8.
Valiantzas, J. D. ( 2000). “Surface water storage independent equation for predicting furrow irrigation advance.” Irrig. Sci., Berlin, 19, 115–123.
9.
Valiantzas, J. D. (2001). “Optimal furrow design. I: Time of advance equation.”J. Irrig. and Drain. Engrg., ASCE, 127(8), 201–208.
10.
Walker, W. R., and Busman, J. D. (1990). “Real-time estimation of furrow infiltration.”J. Irrig. and Drain Engrg., ASCE, 116(3), 299–318.
11.
Walker, W. R., and Humphreys, A. (1983). “Kinematic-wave furrow irrigation model.”J. Irrig. and Drain Engrg., ASCE, 109(4), 377–392.
12.
Walker, W. R., and Skogerboe, G. V. ( 1987). Surface irrigation theory and practice, Prentice-Hall, Englewood Cliffs, N.J.
13.
Wilson, B. N., and Elliott, R. L. (1988). “Furrow advance using simple routing models.”J. Irrig. and Drain. Engrg., ASCE, 114(1), 104–117.
Information & Authors
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Published In
Journal of Irrigation and Drainage Engineering
Volume 127 • Issue 4 • August 2001
Pages: 209 - 215
History
Received: Apr 19, 2000
Published online: Aug 1, 2001
Published in print: Aug 2001
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