Euler-Lagrange models multiphase flows

Johan T. Padding, Niels G. Deen, EAJ.F. (Frank) PeteK, andJ.AM. (Hans) Kuipers, Euler-Lagrange Modeling of the Hydrodynamics of Dense Multiphase Flows Qinfu Hou, Jieqing Gan, Zongyan Zhou, and Aibing Y u. Particle Scale Study of Heat Transfer in Packed and Fluidized Beds... 

Euler-Lagrange Modeling of the Hydrodynamics of Dense Multiphase Flows... 

Simulations of multiphase flow are, in general, very poor, with a few exceptions. Basically, there are three different kinds of multiphase models Euler-Lagrange, Euler-Euler, and volume of fluid (VOF) or level-set methods. The Euler-Lagrange and Euler-Euler models require that the particles (solid or fluid) are smaller than the computational grid and a finer resolution below that limit will not give a... 

This formulation is particularly convenient when Euler-Lagrange simulations are used to approximate the disperse multiphase flow in terms of a fimte sample of particles. As discussed in Sections 5.2 and 5.3, although some of the mesoscale variables are intensive (i.e. independent of the particle mass), it is usually best to start with a conserved extensive variable (e.g. particle mass or particle momentum) when deriving the single-particle models. For example, in Chapter 4 we found that must have at least one component, corresponding to the fluid mass seen by a particle, in order to describe cases in which the disperse-phase volume fraction is not constant. 

Lain, S., Broeder, D., Sommerfeld, M. Goez, M. F. 2002 Modelling hydrodynamics and turbulence in a bubble column using the Euler-Lagrange procedure. International Journal of Multiphase Flow 28,1381-1407. 

DNSs can be used fruitfully to derive closures and correlations which serve as input for Euler-Lagrange multiphase flow models. In this appendix, we provide some technical details of the DNS used to determine droplet collision outcomes, as referred to in Section 6. 

Lain S, Broder D, Sommerfeld M Numerical modelling of the hydrodynamics in a bubble column using the Euler-Lagrange approach. In Proceedings of the MFTP-2000—intematiorud symposium on multiphase flow and transport phenomena, Antalya (Turkey), 2000. 

Inhomogeneous or multiphase reaction systems are characterised by the presence of macroscopic (in relation to the molecular level) inhomogeneities. Numerical calculations of the hydrodynamics of such flows are extremely complicated. There are two opposite approaches to their characterisation [63, 64] the Euler approach, with consideration of the interfacial interaction (interpenetrating continuums model) and the Lagrange approach, of integration by discrete particle trajectories (droplets, bubbles, and so on). The presence of a substantial amount of discrete particles in real systems makes the Lagrange approach inapplicable to study motion in multicomponent systems. Under the Euler approach, a two-phase flow is described... 

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