HYDRAULIC MODELING OF OPEN CHANNEL FLOWS OVER AN ARBITRARY 3-D SURFACE AND ITS APPLICATIONS IN AMENITY HYDRAULIC ENGINEERING Chapter 8 CONCLUSIONS In this research, a depth-averaged model of open channel flows in a generalized curvilinear coordinate system over an arbitrary 3D surface was developed. This model is the inception for a new class of the depth-averaged models classified by the criteria of coordinate system. This work focused on the derivation of governing equations with examples of application in hydraulic amenity. The major results and contributions of this research are summarized as follows. 1. Mathematical model - The original RAN equations were firstly transformed into the new generalized curvilinear coordinate system, in which two axes lay on an arbitrary surface and the other perpendicular to that surface. The depth-averaged continuity and momentum equation were derived by integrating the transformed RAN equation and substituting the kinematic boundary condition at the free surface. - The pressure distribution was obtained by integrating the momentum equation along the perpendicular axis as a combination of hydrostatic pressure and the effect of
