development of a 2-d numerical model for simulation of air distribution in high speed air water flow

in the present study a quasi 2-d numerical model is developed for calculating air concentration distribution in rapid flows. the model solves air continuity equation (convection diffusion equation) in the whole flow domain. this solution is then coupled with calculations of the free surface in which air content in the flow is also considered. to verify the model, its results are compared with an analytical solution as well as a 2-d, numerical model and close agreement was achieved. the model results were also compared with experimental data. this comparison showed that the decrease in air concentration near the channel bed in an aerated flow could be well predicted by the model. the present simple numerical model could therefore be used for engineering purposes.