Melt Refining: CFD Modeling of Particle Deposition to Gas Bubbles

"The collision efficiency for small particles relative to 2D spherical bubbles in a developed turbulent flow field were calculated applying an adopted version of the CPD program FLUENT. The turbulence field was related to bubble size and fluid properties. The results were compared with analytical theory. The turbulence intensity was found to be the most important single parameter for collision efficiency. Effects of boundary layer thickness and particle diameter were discussed. IntroductionRemoval of inclusion particles from melted aluminium can be facilitated by means of a rotor system that supplies kinetic energy and gas bubbles to the floating metal. At the surface the inclusions adhere to the surface dross or slagg which is removed at regular intervals by the operators. When applying computational fluid dynamics (CFD) to model such a system, one experiences difficulties with the large range of turbulent length-scales encountered, from the large geometrical scales of the rotor and container, through the bubble size and down to the particle diameter. A mathematical model for the complete system will be both complex and require an extreme spatial resolution. Another way of dealing with the problem is to model the micro-scale phenomena separately and apply the results to create a model for the macroscopic system. In a previous work [12] we addressed these problems and developed a procedure for calculating turbulence enhanced flotation to bubbles. It was found that turbulence may have a profound effect on the collision rate of particles to idealized bubbles. In this study we recognize that only a fraction of the total turbulent kinetic energy generated by the rotor's work on the liquid metal may contribute to enhanced flotation. By using a model spectrum for the turbulence, the fraction of turbulent energy in eddies smaller than the bubble diameter is calculated. A twodimensional CFD model was then constructed to calculate the collision efficiency between particles and bubbles of various sizes."