Irrigation Lateral Hydraulics with the Gradient Method
Publication: Journal of Irrigation and Drainage Engineering
Volume 143, Issue 8
Abstract
Laterals constitute the basic element of a field-scale pressurized irrigation hydraulic network. The availability of accurate and robust computational methods applicable to lateral hydraulics is, therefore, essential for the development of pressurized-irrigation system management models. Existing water-distribution network analysis models with provisions for computing pressure-dependent outflows along pipelines can be used to simulate flows in irrigation laterals. However, such models cannot be readily customized into an efficient hydraulic module of a coupled field-scale pressurized-irrigation system management model, because of their level of complexity and other practical difficulties related to program development and maintenance. This suggests that hydraulic simulation modules, specifically designed for irrigation laterals, need to be developed for applications in pressurized-irrigation system modeling. Simulation models were developed for irrigation laterals based on computational methods used in hydraulic manifolds. Alternatively, a lateral can be conceived as a branched hydraulic network and the hydraulic simulation problem of an irrigation lateral can then be formulated based on standard network analysis techniques. There is some ground to presume that, among applicable pipe network analysis techniques, the gradient method produces a more general and robust formulation of the hydraulic simulation problem. Thus, the objective of the study, presented here, is to develop a hydraulic simulation model for irrigation laterals, based on a standard network analysis technique (specifically the gradient method), and to evaluate the model. Accordingly, for computational purposes an irrigation lateral is described as a branched hydraulic network with links and nodes. Lateral pipe segments and emitters or riser-emitter assemblies, as the case may be, are treated as links. The network nodes are comprised of junction nodes with unknown heads and fixed-head nodes with given heads. The link energy balance and the nodal continuity equations describing flow over the entire lateral are coupled to form a nonlinear system, which is solved iteratively for the variables: link discharges and nodal heads. The hydraulic simulation model is evaluated through comparisons of model outputs with field data and outputs of an existing model.
Get full access to this article
View all available purchase options and get full access to this article.
References
Andrade, C. de L. T., and Allen, R. G. (1999). “SPRINKMOD–Pressure and discharge simulation model for pressurized irrigation systems. 1: Model development and description.” Irrig. Sci., 18(3), 141–148.
Anwar, A. A. (1999). “Adjusted factor for pipelines with multiple outlets and outflow.” J. Irrig. Drain. Eng., 355–359.
Boulos, P. F., Lansey, K. E., and Karney, B. W. (2006). Comprehensive water distribution systems analysis handbook for engineers and planners, 2nd Ed., MWH Soft, Pasadena, CA.
Christiansen, J. E. (1942). “Irrigation by sprinkling.”, Univ. of California, Davis, CA.
Cross, H. (1936). “Analysis of flow in networks of conduits or conductors.”, Univ. of Illinois Engineering Experimental Station, Urbana, IL.
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 Publications, Inc., New York.
Hathoot, H. M., Abo-Ghobar, H. M., Al-Amud, A. I., and Mohammad, F. S. (1994). “Analysis and design of sprinkler irrigation laterals.” J. Irrig. Drain. Eng., 534–549.
Jensen, M. C., and Fratini, A. M. (1957). “Adjusted ‘F’ factors for sprinkler lateral design.” Agric. Eng., 38(4), 247.
Karney, B. W. (2000). “Water distribution systems handbook.” Hydraulics of pressurized flow, L. W. Mays, ed., McGraw-Hill, New York.
Keller, J., and Bliesner, R. (1990). Sprinkle and trickle irrigation, Van Nostrand Reinhold, New York.
Lansey, K., and Mays, L. W. (2000). “Water distribution systems handbook.” Hydraulics of water distribution systems, L. W. Mays, ed., McGraw-Hill, New York.
Lipschutz, S. (1991). Theory and problems of linear algebra, 2nd Ed., McGraw-Hill, New York.
Martin, D. L., Heermann, D. F., and Madison, M. (2007). “Design and operation of farm irrigation systems.” Hydraulics of sprinkler and microirrigation systems, 2nd Ed., H. G. J. Hoffmann, R. G. Evans, M. E. Jensen, D. L. Martin, and R. L. Elliott, eds., ASABE, St. Joseph, MI, 532–555.
Nielsen, H. B. (1989). “Methods for analyzing pipe networks.” J. Hydraul. Eng., 139–157.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P (1997). Numerical recipes in C: The art of scientific computing, Cambridge University Press, New York.
Rossman, L. A. (2000). “EPANET 2 users manual.” Water Supply and Water Resources Division, National Risk Management Research Laboratory, U.S. Environmental Protection Agency, Cincinnati.
Salgado, R., Todini, E., and O’Connell, P. E. (1987). “Comparison of the gradient method with some traditional methods for the analysis of water supply distribution networks.” Proc., Int. Conf. on Computer Applications for Water Supply and Distribution, Leicester Polytechnic, U.K.
Shamir, U., and Howard, C. D. D. (1968). “Water distribution systems analysis.” J. Hydraul. Div., 94(1), 219–234.
Todini, E., and Pilati, S. (1987). “A gradient algorithm for the analysis of pipe networks.” Proc., Int. Conf. on Computer Applications for Water Supply and Distribution, Leicester Polytechnic, Leicester, U.K.
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 solution 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.
Watkins, D. S. (1991). Fundamentals of matrix computations, Wiley, New York.
WeatherTec. (2016). “High performance impact sprinklers.” ⟨https://www.weathertec.com/product-category/impact-sprinklers/⟩ (Jan. 2016).
Wood, D. J, and Charles, C. O. A. (1972). “Hydraulic network analysis using linear theory.” J. Hydraul. Div., 98(7), 1157–1170.
Wood, D. J., and Rayes, A. G. (1981). “Reliability of algorithms for pipe network analysis.” J. Hydraul. Div., 107(10), 1145–1161.
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. (2014). “Field-scale sprinkler irrigation hydraulic model. II: Hydraulic simulation.” J. Irrig. Drain. Eng., 04014020.
Zerihun, D., Sanchez, C. A., and Nolte, K. (2014). “Field-scale sprinkler irrigation hydraulic model. I: Hydraulic characterization.” J. Irrig. Drain Eng., 04014019.
Information & Authors
Information
Published In
Copyright
©2017 American Society of Civil Engineers.
History
Received: Nov 16, 2016
Accepted: Jan 30, 2017
Published online: May 15, 2017
Published in print: Aug 1, 2017
Discussion open until: Oct 15, 2017
Authors
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.