ABSTRACT

A simple depth-averaged model is derived based on deformation of stream-wise velocity to reproduce the characteristics of hydraulic jump and bore. Initially, the stream-wise velocity expressed in a power series of dimensionless depth and dependency of coefficients on spatial coordinate are considered. The relations amongst the coefficients of stream-wise velocity are derived by using 2 D continuity and momentum equations. The water surface profile equation for the hydraulic jump is then deduced by substituting the obtained relation of coefficient into depth-averaged continuity and momentum equation. The analytical results are verified with the previous experimental data.