Dynamics of rising bubble population undergoing mass transfer and coalescence in highly viscous liquid

The two-phase flow dynamics involving mass transfer and coalescence is investigated. model specifically developed to describe the of bubble population dispersed in glass forming liquids. amounts gas dissolved liquid are determined using chemical equilibrium oxidation–reduction reactions. gravitational rising used write kernel for which a collision efficiency also introduced. Based on Direct Quadrature Method Moments (DQMOM), numerical method developed. This tool applied melting borosilicate beads temperature residence time sample crucible density decreases sharply at short times. early stage decrease well explained quantified when taken into account computations. size very described with log-normal distribution. Using first three moments, distribution obtained numerically good agreement experimental data. Numerical computations soda-lime-silica release driven by between two phases. faster than would be expected reproduced computation. enhancement rate mainly due increase species temperature.