Mass entrainment rate of an ideal momentum turbulent round jet

We propose a two-phase-fluid model for a full-cone turbulent round jet that describes its dynamics in a simple but comprehensive manner with only the apex angle of the cone being a 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. To derive the model, we impose conservation of the initial volume and total momentum fluxes. Our model equations admit analytical 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. Assuming a far-field approximation, we theoretically derive a constant entrainment rate coefficient solely in terms of the cone angle. Moreover, we carry out experiments for a single-phase turbulent air jet and show that the predictions of our model compare well with this and other experimental data of atomizing liquid jets.Comment: 17 pages, 10 figure

Reimagining career guidance: towards a pluralistic perspective

Difficulties concerning the identified mis-match between supply and demand sides of the labour market are discussed. The variability of career guidance services for young people across Europe is illustrated together with policy initiatives in some cases leading to problems of professional identity and limited support to clients of the service. The risks associated with a monoculture of ‘one size fits all’ approach to guidance practice are discussed. The principles of pluralistic approaches to counselling are discussed with the suggestion that this might prove to be a fertile way forward for career guidance practice