TECHNICAL PAPERS
Jun 1, 1984

Minimizing Capital Costs of Multi‐outlet Pipelines

Publication: Journal of Irrigation and Drainage Engineering
Volume 110, Issue 2

Abstract

A design procedure is presented for minimizing the capital cost of multiple‐outlet pipelines which are composed of more than one diameter. The procedure assumes uniform slope, equal outlet spacing, and equal outlet discharge over a specified range of pressure heads. The optimization technique suggested is the Lagrange Multipliers method using the Newton Raphson method to solve a system of nonlinear equations. The procedure is applicable both to laterals for sprinkler or trickle irrigation systems and to manifold lines (feeder pipes) for a group of laterals.

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References

1.
Christiansen, J. E., “Irrigation by Sprinkling,” Bulletin No. 670, Agricultural Experiment Station, University of California, Oct., 1942, 124 pp.
2.
Herber, E., “Hydraulic Design—the Use of Polyplot,” Trickle Irrigation, Australia, 1971.
3.
Hilderbrand, B. F., Advanced Calculus for Applications, Third Printing, Prentice‐Hall, Inc., Englewood Cliffs, N.J., May, 1963, pp. 362–365.
4.
Hillier, S. F., and Lieberman, J. G., Introduction to Operations Research, Holden‐Day, Inc., San Francisco, Calif., Sixth Printing, Jan., 1980, pp. 748–765.
5.
Jobling, G. A., “Graphical Design for Pipelines with Flow Decreasing Uniformly to Zero,” Agricultural Engineering Australia, Vol. 3, No. 3, 1972.
6.
Keller, J., “Trickle Irrigation Manifold Design,” ASCE Technical Paper No. 80–2058, June, 1980, 14 pp.
7.
Perold, P. R., “Computer Design of Microirrigation Pipe Systems,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 105, No. IR4, Dec., 1979, pp. 175–195.
8.
Protter, M. H., and Morrey, C. B., College Calculus with Analytic Geometry, 2nd ed., Addison Wesley Publishing Company, Reading, Mass., 1973, pp. 756–763.
9.
Shacham, D., “Optimal Design of Multidiameter Pipelines,” thesis presented to the Dept. of Agr. and Chemical Engrg., Colorado State University, Fort Collins, Colo., in 1983, in partial fulfillment of the requirements for the degree of Master of Science.
10.
Wu, I., and Gitlin, H. M., “Energy Gradient for Drip Irrigation Laterals,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 100, No. IR4, Proc. Paper 11750, Dec. 1975, pp. 323–326.

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Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 110Issue 2June 1984
Pages: 165 - 178

History

Published online: Jun 1, 1984
Published in print: Jun 1984

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Authors

Affiliations

Shlomo Pleban
Systems Analyst, J. M. Lord Inc., Agric. Sci., Fresno, Calif.
Dov Shacham
Grad. Research Asst., Dept. of Agric. and Chemical Engrg., Colorado State Univ., Fort Collins, Colo.
Jim Loftis
Asst. Prof., Dept. of Agric. and Chemical Engrg., Colorado State Univ., Fort Collins, Colo.

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