Simulation of the radial hydraulic jump

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Abstract
The radial hydraulic jump has been simulated using a strip integral mathematical model. The model is calibrated against the writers' experimental data. The strip integral method uses velocity shape functions to permit the partial integration of the equations of motion. A Gaussian velocity distribution is used in the mixing zone and the power law is used in the inner layer. The mathematical model includes the bed shear, turbulent shear, the potential core, entrained air, centrifugal force and turbulence pressure. The strip integral method has been applied to obtain a set of first order ordinary differential equations to describe the internal velocity distribution and water surface profile for a diverging radial hydraulic jump. These differential equations are solved by a fifth order Runge-Kutta method.

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