Modelling of non-isothermal sprays using a combined viscous vortex method and the Fully Lagrangian Approach

Transient, two-dimensional (2D), non-isothermal `gas-droplet' flows with phase transitions are studied theoretically. The modelling is based on a meshless approach, where a combination of viscous vortex, thermal blob, and Lagrangian approaches are used to calculate the carrier-phase velocity, temperature and droplet parameters. Firstly, the numerical method is verified by the analytical solution of the Lamb vortex. Secondly, two applications are considered: an axially symmetric, two-phase, vortex flow and a two-phase cold jet injection into a hot quiescent gas. Three cases corresponding to three initial droplet sizes are considered.. For each case, qualitatively different flow regimes (droplets location and size distributions) and jet-like and vortex ring-like structures are predicted.