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The purpose of this paper is to present a 2D depth-averaged model that includes the effects of streamline curvature under orthogonal curvilinear coordinates for simulating flows and pollutant diffusions in channel bends. The proposed model uses an orthogonal curvilinear coordinate system efficiently and accurately to simulate the flow field with irregular boundaries. As for the numerical solution procedure, The SIMPLEC solution procedure has been used for the transformed governing equations in the transformed domain. Practical application of the model is illustrated by an example, and a fair agreement between the values measured and computed demonstrates the model's capabilities.