Coupling of a Lagrangian model with a CFD code: Application to the numerical modelling of the turbulent dispersion of droplets in a turbulent pipe flow

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Abstract
A Lagrangian approach is used to quantify the dispersion of particles in turbulent flows. Particles are tracked in a turbulent field taking into account crossing trajectory effects by solving their equation of motion. Further the CFD Phoenics* [1] code allows to model the turbulence of the carrier phase in which the particles disperse: a (K-∊) model supplemented with algebraic stress relations deduced from a second order closure scheme is used here. The coupled Eulerian-Lagrangian model is then optimized by taking into account a space-time random distribution for the turbulent scales. Droplets dispersion predictions are presented for the turbulent pipe flow experienced by Calabrese & Middleman [2], and the computational results agree well with their experimental results.