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A Runge-Kutta Approach for the Analysis of Spatially Varied Flow

Steady spatially varied flow has a non-uniform discharge in an open channel resulting from the addition or diminution ofwater along the course of the flow. The longitudinal water surface profile is normally found by expressing the appropriate general equation in finite difference form and solving using a trial and error step-by-step procedure. In this paper a simple alternative method is presented using a Runge-Kutta fourth-order numerical technique. The method is applied to a channel side weir where the discharge in the main channel is decreasing in the direction offlow.