Statistical description of turbulent particle-laden flows in the very dilute regime using the anisotropic Gaussian moment method

The present work aims at investigating the ability of a Kinetic-Based Moment Method (KBMM) to reproduce the statistics of turbulent particle-laden flows using the Anisotropic Gaussian (AG) closure. This method is the simplest KBMM member that can account for Particle Trajectory Crossing (PTC) proper...

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Bibliographic Details
Published inInternational journal of multiphase flow Vol. 112; pp. 243 - 257
Main Authors Sabat, Macole, Vié, Aymeric, Larat, Adam, Massot, Marc
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.03.2019
Elsevier
Subjects
Anisotropic gaussian
Disperse phase
Engineering Sciences
Eulerian models
Fluid Dynamics
Fluid mechanics
Mechanics
Particle trajectory crossing
Physics
Reactive fluid environment
Turbulence
Anisotropic gaussian
Particle trajectory crossing
Turbulence
Eulerian models
Disperse phase
Anisotropic Gaussian
Particle Trajectory Crossing
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Summary:The present work aims at investigating the ability of a Kinetic-Based Moment Method (KBMM) to reproduce the statistics of turbulent particle-laden flows using the Anisotropic Gaussian (AG) closure. This method is the simplest KBMM member that can account for Particle Trajectory Crossing (PTC) properly with a well-posed mathematical structure Vié et al. (2015). In order to validate this model further, we investigate here 3D turbulent flows that are more representative of the mixing processes, which occurs in realistic applications. The chosen configuration is a 3D statistically-stationary Homogeneous Isotropic Turbulence (HIT) loaded with particles in a very dilute regime. The analysis focuses on the description of the first three lowest order moments of the particulate flow: the number density, the Eulerian velocity and the internal energy. A thorough numerical study on a large range of particle inertia allows us to show that the AG closure extends the ability of the Eulerian models to correctly reproduce the particle dynamics up to a Stokes number based on the Eulerian turbulence macro-scale equal to one, but also highlights the necessity of high-order numerical schemes to reach mesh convergence, especially for the number density field.
ISSN:0301-9322
1879-3533
DOI:10.1016/j.ijmultiphaseflow.2018.10.004