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Application of kinematic wave equations to border irrigation design
Affiliation:1. Rutgers- Robert Wood Johnson Medical School, Piscataway, NJ, USA;2. Department of Medicine, Rutgers-Robert Wood Johnson University Hospital, New Brunswick, NJ, USA;1. Mathematics Department, Umm-Al-Qura University, Makkah, Saudi Arabia;2. Mathematics Department, Islamic University, Madina, Saudi Arabia
Abstract:Accuracy of the kinematic wave (KW) approximation was tested on 31 experimental irrigation borders by computing the KW number and its modified version. In a majority of cases, this approximation was found to be sufficiently accurate. A KW model, reported previously, was used to derive dimensionless advance and recession curves for application to border irrigation design. These curves can be developed for a wide range of design variables and parameters for ready practical use. A step by step design procedure, based on this model is presented. Its validity was tested by comparing observed irrigation efficiencies with those computed by the model. A close agreement between computed and observed efficiencies suggests that the KW model is reasonably accurate. Its simplicity and physical basis may justify its large-scale field application.
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