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We propose a family of two-phase-fluid models for a full-cone turbulent roundjet that describe its dynamics in a simple but comprehensive manner with theapex angle of the cone being the main disposable parameter. The basicassumptions are that (i) the jet is statistically stationary and that (ii) itcan be approximated by a mixture of two fluids with their phases in dynamicequilibrium (so-called Locally Homogeneous Flow). To derive the model, weimpose either full or partial conservation of the initial mass and total powerfluxes, introducing mass and power loss factors as disposable parameters. Ourmodel equations admit implicit analytical and numerical solutions for thecomposite density and velocity of the two-phase fluid, both as functions of thedistance from the nozzle, from which the dynamic pressure and the massentrainment rate are calculated. Moreover, we show that the predictions of ourmodels compare well with experimental data for single-phase turbulent air jetsand atomizing liquid jets.

Dynamical model of a turbulent round jet through conservation of mass flux and power