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97468

DESIGN OF SPRINKLER IRRIGATION TAPERED MAIN LINE BY LINEAR PROGRAMMING

Article

Last updated: 26 Dec 2024

Subjects

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Tags

Agricultural Irrigation and Drainage Engineering

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.

DOI

10.21608/mjae.2017.97468

Authors

First Name

A. A.

Last Name

Hassan

MiddleName

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Affiliation

Senior Researcher , Agric. Res., Center. Cairo, Egypt.

Email

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City

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Orcid

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Volume

34

Article Issue

3

Related Issue

14723

Issue Date

2017-07-01

Receive Date

2020-06-21

Publish Date

2017-07-01

Page Start

1,335

Page End

1,350

Print ISSN

1687-384X

Online ISSN

2636-3062

Link

https://mjae.journals.ekb.eg/article_97468.html

Detail API

https://mjae.journals.ekb.eg/service?article_code=97468

Order

13

Type

Original Article

Type Code

1,326

Publication Type

Journal

Publication Title

Misr Journal of Agricultural Engineering

Publication Link

https://mjae.journals.ekb.eg/

MainTitle

DESIGN OF SPRINKLER IRRIGATION TAPERED MAIN LINE BY LINEAR PROGRAMMING

Details

Type

Article

Created At

23 Jan 2023