The Mesoscopic Eulerian Approach for Evaporating Droplets Interacting with Turbulent Flows

This paper presents a statistical approach, known as mesoscopic Eulerian formalism (Fevrier et al., J Fluid Mech 533:1–46, 2005), which is extended in order to model a cloud of inertial evaporating droplets interacting with a turbulent carrier flow. This approach is checked in a non-isothermal droplet-laden turbulent planar jet by means of a priori tests. The “measurement” of the mesoscopic particle-velocity and particle-temperature moments is accomplished by using the Eulerian particle fields computed from a Direct Numerical Simulation (DNS) coupled with a Lagrangian approach for the droplets. The results of this work show the ability of such an approach to describe the evaporating dispersed phase interacting with turbulent flows.