Mathematical simulation of air-water flow along Ski Jump Jet

Abstract

In the present study, using a quasi 3D analytical simulation, air concentration distribution in ski jump generated jet is calculated. A numerical simulation is also performed to verify the results of the analytical model in parallel with the available experimental and other analytical data. By solving continuity and momentum equations in the case of air-water flow for three different cases, it was confirmed that the air concentrations along the ski jet are uniquely linked to the relative black water core length. Results showed that the black water core length is also influenced by the approach flow depth, Froude number, geometrical parameters of ski jump and the chute bottom angle. Finally, an analytical equation is proposed to predict the air concentration distribution along the ski jump jet regarding different hydraulic and geometric parameters. By calculating the velocity profiles along the jet, it showed that increasing the air concentration reduces the jet velocity profile. HIGHLIGHTS A quasi model of a ski jump-generated jet is developed for calculating air concentration in the flow.; Continuity and momentum equations were solved analytically in the whole flow domain.; A numerical simulation is also performed to verify the results of the analytical model.; It was found that the air concentrations along the jet are uniquely linked to the relative black water core length.;

Keywords

• air concentration
• analytical and numerical simulation
• multiphase flow
• ski jump jet