Technical Papers
Mar 11, 2014

Field-Scale Sprinkler Irrigation System Hydraulic Model. I: Hydraulic Characterization

This article has been corrected.
VIEW CORRECTION
Publication: Journal of Irrigation and Drainage Engineering
Volume 140, Issue 7

Abstract

A mathematical model for a field-scale hydraulic characterization and simulation of solid set sprinkler systems with single-line and double-line lateral layout configurations is developed. This paper describes the hydraulic equations, numerical solution algorithms, and the hydraulic characterization functionality of the model for a system with single-line laterals. Numerical solutions of the lateral and mainline hydraulic equations are based on standard manifold hydraulics. A rigorous and flexible formulation of the sprinkler hydraulic problem is obtained by coupling the energy equation for each lateral and mainline segment with the continuity equation at a node. The resulting set of equations is then solved iteratively, starting from the distal end sprinkler or mainline outlet and moving sequentially upstream. The hydraulic characteristics of the sprinklers is defined based on manufacture’s pressure head and discharge data, and the hydraulic characteristics of each mainline outlet are computed by the system hydraulic characterization functionality of the model. The cubic spline method is used to interpolate mainline outlet discharges from the respective hydraulic characteristics curves as a function of total heads, effectively providing the interface for coupling the numerical solutions of the laterals and the mainline hydraulic equations. Evaluation of the hydraulic model with field data suggests that the hydraulic model is accurate. A companion paper describes the formulation of the hydraulic equations and numerical solutions for sprinkler systems with double-line laterals and the system simulation functionality of the model.

Get full access to this article

View all available purchase options and get full access to this article.

References

Anwar, A. A. (1999). “Adjusted factor Ga for pipelines with multiple outlets and outflow.” J. Irrig. Drain. Eng., 355–359.
Burden, L. R., Fairies, J. D., and Reynolds, A. C. (1981). Numerical analysis, Prindle, Weber, and Schmidt, Boston.
Christiansen, J. E. (1942). “Irrigation by sprinkling.”, Univ. of California, Davis, CA.
de Andrade, C. de L. T., and Allen, R. G. (1999). “SPRINKMOD—Pressure and discharge simulation model for pressurized irrigation systems, 1. Model development.” Irrig. Sci., 18(3), 141–148.
Estrada, C., Gonzalez, C., Aliod, R., and Pano, J. (2009). “Improved pressurized pipe network hydraulic solver for applications in irrigation systems.” J. Irrig. Drain. Eng., 421–430.
Granger, R. A. (1995). Fluid mechanics, Dover, New York.
Harris, J. W., and Stocker, H. (1998). Handbook of mathematics and computational science, Springer-Verlag, New York.
Hathoot, H. M., Abo-Ghobar, H. M., and Al-Amudi, A. I. (1994). “Analysis and design of sprinkler irrigation laterals.” J. Irrig. Drain. Eng., 534–549.
IRRICAD [Computer software]. AEI Software, Canterbury, New Zealand.
Jensen, M. C., and Frantini, A. M. (1957). “Adjusted ‘F’ factors for sprinkler lateral design” Agr. Eng., 38(4), 247.
Kang, Y., and Nishiyama, S. (1996). “Analysis and design of microirrigation laterals.” J. Irrig. Drain. Eng., 75–82.
Keller, J., and Bliesner, R. (1990). Sprinkle and trickle irrigation, Van Nostrand Reinhold, New York.
Larock, B. E., Jeppson, R. W., and Watters, G. Z. (2000). Hydraulics of pipeline systems, CRC Press, Washington, DC.
Martin, D. L., Heermann, D. F., and Madison, M. (2007). “Design and operation of farm irrigation systems.” Chapter 15, Hydraulics of sprinkler and microirrigation systems, 2nd Ed., G. J. Hoffmann, R. G. Evans, M. E. Jensen, D. L. Martin, and R. L. Elliott, eds., American Society of Agricultural and Biological Engineers, St. Joseph, MI, 532–555.
Mathews, J. M., and Fink, K. D. (1999). Numerical methods using Matlab, Prentice Hall, Upper Saddle River, NJ.
Miller, D. S. (2009). Internal flow systems, Miller Innovations, Bedford, U.K.
Playan, E., et al. (2010). “Mathematical problems and solutions in sprinkler irrigation.” Monografias de la Real Academia de Ciencias de Zaragoza, 〈http://www.unizar.es/acz/05Publicaciones/Monografias/MonografiasPublicadas/Monografia31/153.pdf〉 (2010).
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P. (1997). Numercial recipes in C, the art of scientific computing, Cambridge University Press, New York.
Simunek, J., van Genuchten, M. Th., and Šejna, M. (2009). “The HYDRUS-1D software package for simulating the one-dimensional movement of water, heat, and multiple solutes in variably-saturated media.” Version 4.08, Dept. of Environmental Sciences, Univ. of California Riverside, Riverside, CA.
Vallesquino, P., and Luque-Escamilla, P. (2002). “Equivalent friction factor method for hydraulic calculation in irrigation laterals.” J. Irrig. Drain. Eng., 278–286.
Warrick, A. W., and Yitayew, M. (1987). “An analytical model for flow in a manifold.” Adv. Water Resour., 10(2), 58–63.
Warrick, A. W., and Yitayew, M. (1988). “Trickle lateral hydraulics I: Analytical solution.” J. Irrig. Drain. Eng., 281–288.
Yitayew, M. (2009). “Simplified method for sizing laterals with two or more diameters.” J. Irrig. Drain. Eng., 111–114.
Zerihun, D., and Sanchez, C. A. (2012). “Sprinkler model: A field-scale solid set sprinkler irrigation system hydraulic model, program documentation.” Report submitted to the USBR.
Zerihun, D., and Sanchez, C. A. (2014). “Field-Scale Sprinkler Irrigation System Hydraulic Model. II: Hydraulic Simulation.” J. Irrig. Drain. Eng., 04014020.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 140Issue 7July 2014

History

Received: May 4, 2013
Accepted: Jan 6, 2014
Published online: Mar 11, 2014
Published in print: Jul 1, 2014
Discussion open until: Aug 11, 2014

Permissions

Request permissions for this article.

Authors

Affiliations

Associate Research Scientist, Maricopa Agricultural Center, Univ. of Arizona, 37860 W. Smith-Inke Rd., Maricopa, AZ 85238-3010. E-mail: [email protected]
C. A. Sanchez [email protected]
Professor, Dept. of Soil, Water, and Environmental Science and Maricopa Agricultural Center, Univ. of Arizona, 37860 W. Smith-Inke Rd., Maricopa, AZ 85238-3010 (corresponding author). E-mail: [email protected]
K. Nolte
Director, Yuma Agricultural Center, Univ. of Arizona, 6425 W 8th St., Yuma, AZ 85364.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share