Depth-Averaged Equations for Free Surface Flowsby Guohong Duan,
Abstract: Depth-Averaged equations for free surface flow are derived by applying fundamental physical principles of mass conservation, momentum and moment of momentum on a control volume from the river bed to the free surface. The analysis indicates that other than the depth-averaged continuity equation and momentum equation, the depth-averaged equation for moment of momentum also play a significant role for free surface channel flow. In the special case of shallow water, the derived general equations reduce to the classical St.Venant equations. The study improves the traditional depth-averaged model and provides a new technique for modeling the complicated flow field. Application of the general set of depth-averaged equations to flows in curved channel is presented in the paper.
Subject Headings: Free surfaces | Overland flow | Channel flow | Free flow | Model analysis | Field tests | Flow control | River flow
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