The Mesoscopic Eulerian Approach for Evaporating Droplets Interacting with Turbulent Flows

Abstract

This paper presents a statistical approach, known as mesoscopic Eulerian formalism (Février 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 particlevelocity 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.

DNS of turbulent droplet-laden heated channel flow with phase transition at different initial relative humidities

“…In the current study the droplet volume fraction is chosen to fluctuate around 10 À4 and therefore we consider twoway coupling according to the classification proposed by Elghobashi (1994). In the Lagrangian method for the droplets adopted here a system of ordinary differential equations for each droplet is obtained following the model used in Miller and Bellan (1998) and Masi et al (2010). The location of a droplet is governed by the kinematic condition:…”

“…A study of the mixing layer with embedded evaporating droplets was done by Miller and Bellan (1998). In Masi et al (2010) investigated the interaction of a non-isothermal dropletladen turbulent planar jet with a cloud of inertial evaporating droplets.…”

Comparison of DNS of compressible and incompressible turbulent droplet-laden heated channel flow with phase transition

“…Later, a study dedicated to the mixing layer with embedded evaporating droplets was conducted by Miller and Bellan (1998). In Masi et al (2010) a cloud of inertial evaporating droplets, interacting with a non-isothermal droplet-laden turbulent planar jet, is considered. In the present paper we extend the work of Mashayek (1998) to wall-bounded turbulence by investigating turbulent channel flow with a dispersed droplet phase undergoing phase transition.…”

“…To enable comparison between a strictly incompressible and a more general compressible formulation, we focus the attention on a case of initially 100% relative humidity in the channel. The models adopted here are identical to the models used in Miller and Bellan (1998) and Masi et al (2010).…”

DNS of turbulent channel flow subject to oscillatory heat flux

“…A study of the mixing layer with embedded evaporating droplets was reported by Miller and Bellan [2]. In 2010 Masi et al [3] investigated the interaction of a non-isothermal dropletladen turbulent planar jet with a cloud of inertial evaporating droplets. In this study we focus on wall-bounded turbulence by considering turbulent channel flow with a dispersed droplet phase undergoing phase transition.…”