Zero-Inertia Modeling of Furrow Irrigation Advance

by Ronald L. Elliott, Asst. Prof.; Agr. Engrg. Dept., Oklahoma State Univ., Stillwater, Okla.,
Wynn R. Walker, (M.ASCE), Assoc. Prof.; Agr. and Irrigation Engrg. Dept., Utah State Univ., Logan, Utah,
Gaylord V. Skogerboe, (M.ASCE), Prof.; Agr. and Chemical Engrg. Dept., Colorado State Univ., Fort Collins, Colo.,


Serial Information: Journal of the Irrigation and Drainage Division, 1982, Vol. 108, Issue 3, Pg. 179-195

Document Type: Journal Paper


The rate of advance of the water front in furrows has been mathematically modeled using a zero-inertia approach, in which the surface water hydraulics are simplified by neglecting accelerations. Power curve relationships are used to relate both the flow depth and wetted perimeter to the cross-sectional flow area. Infiltration is described with the modified Kostiakov equation, which has a constant term that accounts for a soil's basic intake rate. Field evaluations from three Colorado farms were used in testing the model. It was shown that the zero-inertia model can effectively simulate the hydraulics of the advance phase of furrow irrigation.

Subject Headings: Hydraulic models | Furrow irrigation | Hydrologic models | Mathematical models | Simulation models | Mathematics | Surface water | Curvature | Colorado | United States

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