Modelling of a two-phase vortex ring flow based on the fully Lagrangian Approach

Two-phase vortex-ring flows are widely observed in engineering and environmental conditions (see for example [1]). Two-phase vortex-ring-like structures have been identified, for example, in direct injection internal combustion engines[2]. In such flows, the admixture forms high concentration regions with folds (local zones of crossing particle/droplet trajectories) and caustics. According to [3], the only method capable of calculating the particle concentration field, without using excessive computer power, is the one suggested by Osiptsov [4], and referred to as the Fully Lagrangian Approach (FLA). Our study is focused on further investigation of these types of flows based on the FLA. Particular attention is paid to the details of the mixing process within regions of high particle concentration, which can potentially lead to the formation of unfavourable zones of high fuel vapour concentration in internal combustion engines, when particles are identified with fuel droplets.