Statistical description of turbulent particle-laden flows in the very dilute regime using the anisotropic Gaussian moment method
| Autor: | Marc Massot, Adam Larat, Aymeric Vié, Macole Sabat |
|---|---|
| Přispěvatelé: | University of Balamand - UOB (LIBAN), Laboratoire d'Énergétique Moléculaire et Macroscopique, Combustion (EM2C), Université Paris Saclay (COmUE)-Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec, CentraleSupélec, Fédération de Mathématiques de l'Ecole Centrale Paris (FR3487), Ecole Centrale Paris-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2019 |
| Předmět: |
[PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn]
Gaussian General Physics and Astronomy 02 engineering and technology 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics symbols.namesake Eulerian models 0203 mechanical engineering 0103 physical sciences [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph] Stokes number Disperse phase Fluid Flow and Transfer Processes Physics Homogeneous isotropic turbulence Number density Turbulence [SPI.FLUID]Engineering Sciences [physics]/Reactive fluid environment Mechanical Engineering Particle-laden flows Eulerian path Mechanics Moment (mathematics) 020303 mechanical engineering & transports symbols Anisotropic Gaussian Particle Trajectory Crossing |
| Zdroj: | International Journal of Multiphase Flow International Journal of Multiphase Flow, Elsevier, 2019, 112, pp.243-257. ⟨10.1016/j.ijmultiphaseflow.2018.10.004⟩ |
| ISSN: | 0301-9322 |
| DOI: | 10.1016/j.ijmultiphaseflow.2018.10.004 |
| Popis: | 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 Vie 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. |
| Databáze: | OpenAIRE |
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