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This paper describes the derivation of a simple-depth averaged flow model including the deformation of velocity distribution to reproduce the water surface profile of a hydraulic jump. The obtained model results are also discussed in comparison with the previous experimental results. Initially, the fundamental form of the streamwise velocity in a power series of depth is used and the coefficients of each term are considered to be dependent on a spatial coordinate. The relations between the coefficients are later derived using 2-D continuity and momentum equations. These relations are successively utilized into the depth-averaged continuity and momentum equations to obtain the set of equations for water surface profile analysis. The comparisons of analytical results with the previous experimental results indicate reasonable agreement. However, further improvement in the model is required.

HYDRAULIC ANALYSIS OF WATER SURFACE PROFILE IN HYDRAULIC JUMP BY MEANS OF SIMPLE DEPTH AVERAGED FLOW MODEL