DESIGN OF SPRINKLER IRRIGATION TAPERED MAIN LINE BY LINEAR PROGRAMMING | ||||
| Misr Journal of Agricultural Engineering | ||||
| Article 13, Volume 34, Issue 3, July 2017, Page 1335-1350 PDF (891.88 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/mjae.2017.97468 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| A. A. Hassan | ||||
| Senior Researcher , Agric. Res., Center. Cairo, Egypt. | ||||
| Abstract | ||||
| A mathematical linear programming model based on Microsoft Excel spreadsheet was developed to design mainline of sprinkler irrigation system. The line considered has a length of 522 m combined with five different nominal diameters of 3', 3-1/2", 4", 5" and 6" (internal diameter of 73.7, 85.4, 97.2, 122.3and 149.3 mm) which are commercially available in the Egyptian markets. The objective function was to minimize the cost of the mainline pipe; and the constraints considered were commercial availability of diameters. The head loss calculations are based on four different head loss formulas. These are the Hazen-Williams, Manning, Scobey, and Darcy-Weisbach equations. The model estimates the number of pipe unit according to the available manufacturer length. ( taken as 6 meter long). The lowest cost of 7924 US$ was found by the Darcy Wiesbach equation followed by Manning as 8030, Hazen–Williams as 8051 and Scobey as 8385. Validity and sensitivity of the model were confirmed. The effect of land slope and inlet pressure to the system was studied. The results indicated that increasing in inlet pressure decreases the cost of the mainline. Meanwhile, the cost of the mainline is proportionally increased by increasing the up slope of the land, and inversely increases by increasing the down slope of the land. | ||||
| References | ||||
|
Bralts V.F., S.F. Kelly, W.H. Shayya and L. J. Segerlind, (1993). Finite elements analysis of microirrigation hydraulics using virtual emitter systems. ASAE, 36 (3):717-725.
Benami, I. and A. Ofen 1984. Irrigation Engineering, Irrigation Engendering Scientific Publications (IESP), Haifa, Israel. 257 Pp.
Kang V, Nishiyama S. 1996. Design of micro irrigation submain units. Journal of Irrigation and Drainage Engineering 122(2): 83–89.
Keller J, Bliesner RD. 1990. Sprinkle and Trickle Irrigation. Van Nostrand Reinhold, Chapman and Hall: New York.
Keller J. 1975. Economic pipe selection chart. In Proceedings, ASCE Irrigation and Drainage Division Special Conference, 13–15 Aug. 1968, Utah State University, Logan, Utah.
Singh A, Singh RP, Mahar PS, Singh KK. 2000. Optimal design of tapered microirrigation submain manifolds. Journal of Irrigation and Drainage Engineering 126(6): 371–374.
Solomon K, Keller J. 1978. Trickle irrigation uniformity and efficiency. Journal of the Irrigation and Drainage Division 104(3): 293–306.
Valiantzas JD. 2002. Continuous outflow variation along irrigation laterals: effect of the number of outlets. Journal of Irrigation and Drainage Engineering ASCE 128(1): 34–42.
Valiantzas JD. 2003. Inlet pressure, energy cost and economic design of tapered irrigation sub mains. Journal of Irrigation and Drainage Engineering ASCE 129(2): 100–107.
Wu IP, Gitlin HM. 1975. Energy gradient line for drip irrigation laterals. Journal of Irrigation and Drainage Engineering 101(4): 323–326.
شارلى شکرى سکلا . " هندسة الرى والصرف " . دار المعارف .1991. | ||||
|
Statistics Article View: 132 PDF Download: 274 |
||||
