A multi-phase model for plumes in powder injection refining processes

A one-dimensional steady-state model for momentum transfer in ascending gas-liquid-powder plumes has been developed for conditions relevant to powder injection refining processes. Inter-phase transport of momentum permits the calculation of the volume fraction and velocity of the gas, liquid, and solid phases as they rise in the melt. The effects of plume geometry, initial conditions, density of the phases, head of liquid, bubble size, and powder loading and properties are assessed. Liquid velocities in gas-only injection into water compare favorably with available experimental data. Significantly lower liquid velocities are predicted in liquid metals. At solids loadings used in commercial powder injection stations, the powder is expected to have only a small effect on liquid velocity. For wire injection conditions with little gas release, liquid velocities are considerably smaller.