  We propose a family of two-phase-fluid models for a full-cone turbulent round
jet that describe its dynamics in a simple but comprehensive manner with the
apex angle of the cone being the main disposable parameter. The basic
assumptions are that (i) the jet is statistically stationary and that (ii) it
can be approximated by a mixture of two fluids with their phases in dynamic
equilibrium (so-called Locally Homogeneous Flow). To derive the model, we
impose either full or partial conservation of the initial mass and total power
fluxes, introducing mass and power loss factors as disposable parameters. Our
model equations admit implicit analytical and numerical solutions for the
composite density and velocity of the two-phase fluid, both as functions of the
distance from the nozzle, from which the dynamic pressure and the mass
entrainment rate are calculated. Moreover, we show that the predictions of our
models compare well with experimental data for single-phase turbulent air jets
and atomizing liquid jets.
