Probabilistic derivation of droplet velocity using quadrature method of moments

Abstract Accurately prediction of dispersion and polydispersity droplet flow is not a trivial task due to the complex behavior size distribution (DSD) strong state instantaneous velocity on shape droplet. Describing sizes velocities droplets initially formed in sprays an essential piece information needed spray modeling, which used define initial downstream two-phase fields’ predictive computations. The model for distributions formulated as droplet’s magnitude has power–law relationship with this study. present incorporates deterministic stochastic aspects formation process. quadrature method moments (QMOM) applied solve numerically transport equations probability density function coupled conserved source terms incompressible Navier-Stokes liquid phase. sub-models are connected by different signifying liquid-gas interaction. Equations derived from DSD, closure attained using gamma distribution. integer concerning volume construct continuous QMOM. In contrast, determine constant diameter. first simulate diesel tip penetration under nonreactive conditions profiles validate approach experimental data. An additional case nitrogen show distribution’s ability describe drop generally predicts reasonable agreement both cases.