Using maximum entropy method for prediction of droplet size and velocity distribution in spray

The prediction of the droplets diameter and the velocity distribution in a spray is very difficult، since its processes and mechanisms are not completely known and depends on many parameters. The early stage of the atomization process (Primary Breakup) is clearly deterministic، whereas the final stage of the spray formation (Secondary Breakup) is random and stochastic and deals with the stochastic aspect of the droplet size and the velocity distribution which is done using the maximum entropy principle (MEP). The MEP predicts the atomization process while satisfying constrain equations of the mass، the momentum and the energy. Finally، experimental results for an annular jet and a swirl nozzle were used to verify the modeling results for the size and the velocity distribution of spray droplets which shows a good agreement between modeling and experiments. The effect of some atomization parameters like Weber number، momentum and energy source terms were investigated on the droplets distribution.