Economic Design of Center-Pivot Sprinkler Laterals
Publication: Journal of Irrigation and Drainage Engineering
Volume 130, Issue 6
Abstract
Center-pivot laterals are characterized by important friction loss, so therefore the energy consumption is also significant. In this paper, a new, particularly simple, equation is derived to solve explicitly the economic design problem of tapered center-pivot laterals taking into account the energy cost. The appropriate lengths of center-pivot lateral segments with different pipe sizes are calculated directly from the proposed equation in such a way that the total cost of energy and lateral segments is minimized. Friction loss can be calculated using the simple empirical Hazen–Williams formula but also can be calculated using the more general Darcy–Weisbach friction equation. The explicit economic design is applied in two design examples. A detailed economic analysis and comparison between different systems with and without multiple pipe lateral sizes also is performed. A stepwise economic design method determining the most economic pipe diameter at each section of the lateral included between two consecutive sprinklers also is applied. Comparison between the two methods indicates the good performance of the analytical method.
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References
1.
Anwar, A. A. (2000). “Correction factors for center pivots with end guns.” J. Irrig. Drain. Eng., 126(2), 113–118.
2.
Christiansen, J. E. ( 1942). “Irrigation by sprinkling.” California Agricultural Experiment Station Bulletin, 670, Univ. of California at Berkeley, Berkeley, Calif.
3.
Chu, S. T. ( 1980). “Center-pivot irrigation design.” Technical Bulletin 56, Agricultural Experiment Station, South Dakota State Univ., Brookings, S.D.
4.
Chu, S. T., and Moe, D. L. (1972). “Hydraulics of a center-pivot system.” Trans. ASAE, 15(5), 894–896.
5.
Keller, J. ( 1975). “Economic pipe selection chart.” Proc., ASCE Irrig. and Drain. Div. Specially Conf., Utah State Univ., Logan, Utah.
6.
Keller, J., and Bliesner, R.D. ( 1990). Sprinkle and trickle irrigation, Chapman and Hall, New York.
7.
Kincaid, D. C., and Heermann, D. F. (1970). “Pressure distribution on a center-pivot sprinkler irrigation system.” Trans. ASAE, 13(5), 556–558.
8.
Reddy, J. M., and Apolayo, H. (1988). “Friction correction factor for center-pivot irrigation systems.” J. Irrig. Drain. Eng., 114(1), 183–185.
9.
Scaloppi, E. J., and Allen, R. G. (1993). “Hydraulics of center-pivot laterals.” J. Irrig. Drain. Eng., 119(3), 554–567.
10.
Swamee, P., and Jain, A. (1976). “Explicit equations for pipe-flow problems.” J. Hydraul. Div., Am. Soc. Civ. Eng., 102(5), 657–664.
11.
Valiantzas, J. D. (2002a). “Continuous outflow variation along irrigation laterals: Effect of the number of outlets.” J. Irrig. Drain. Eng., 128(1), 34–42.
12.
Valiantzas, J. D. (2002b). “Hydraulic analysis and optimum design of multidiameter irrigation laterals.” J. Irrig. Drain. Eng., 128(2), 78–86.
13.
Valiantzas, J. D. (2003). “Inlet pressure, energy cost, and economic design of tapered irrigation submains.” J. Irrig. Drain. Eng., 129(2), 100–107.
14.
Valiantzas, J.D., and Dercas, N. ( 2005). “Hydraulic analysis of multi-diameter center-pivot sprinkler laterals.” J. Irrig. Drain. Eng., in press.
15.
von Bernuth, R. D. (1983). “Nozzling considerations for center pivots with end guns.” Trans. ASAE, 26(2), 419–422.
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Copyright © 2004 ASCE.
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Published online: Nov 15, 2004
Published in print: Dec 2004
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