Higher-order moment models for laminar multiphase flows with accurate particle-stream crossing. (May 2019)

• Record Type: Journal Article
• Authors: Forgues, François; McDonald, James G.
• Is Part Of: International journal of multiphase flow. Volume 114(2019)
• Page Start: 28
• Page End: 38
• Publication Date: 2019-05
• Subjects: Multiphase flow -- Monodisperse -- Kinetic theory -- Moment closures -- Particle-trajectory crossing; Multiphase flow -- Periodicals; Écoulement polyphasique -- Périodiques; Multiphase flow; Periodicals; 620.1064
• DOI: 10.1016/j.ijmultiphaseflow.2019.01.003
• Languages: English
• ISSNs: 0301-9322

Abstract

Highlights: This paper applies a recently proposed fourteen-moment model from kinetic theory of gases to the prediction of laminar disperse multiphase flows for the first time. It is found that the resulting closed-form PDEs of this new Eulerian method allow for particle streams to cross cleanly and accurately. This is in stark contrast to classical closed-form Eulerian methods that have traditionally been incapable of modelling such behaviours properly. It is shown that the fourteen-moment model is the lowest-order model in the maximum-entropy hierarchy of moment methods to allow this crossing to happen correctly. Abstract: Modelling of laminar multiphase flow is extremely important in a wide range of engineering and scientific applications. The particle phases are often difficult to model, especially when particles display a range of velocities at each location in space. Lagrangian method can be too costly and many Eulerian methods, though often computationally less taxing, suffer from model deficiencies and mathematical artifacts that lead to non-physical results. In particular, efficient Eulerian models that can accurately predict the crossing of multiple streams of non-interacting particles in laminar flow have traditionally been lacking. The goal of this work is to investigate the predictive capabilities of modern techniques from the kinetic theory of gases to a treatment of disperse multiphase flow. In particular, several moment-methods, including a recently proposed fourteen-moment approximation to the underlying kinetic equation describing particle motion, are applied and their abilities to predict particle-stream crossing are assessed. The derivation, mathematical structure, and physical behaviour of the resulting model are explained. A numerical implementation is presented and results for a flow problem that is designed to demonstrate the fundamental behaviour of each model with respect to particle stream crossing is presented.