A multi-dimensional Lagrangian algebraic slip mixture model for bubble column reactors

A multi-dimensional Lagrangian algebraic slip mixture model has been developed to study multiphase flows. Through the single bubble Lagrangian movement equation, this model considers the accelerations of various forces on the bubble. Accordingly the slip velocities between bubbles and liquid were derived in Lagrangian manner to connect the effects of the various forces on bubbles with the diffusion flux velocities which appear in the Euler governing equations. Therefore this model realizes the connection between Eulerian model and Lagrangian model. Because the single bubble Lagrangian movement was extended to multi-dimension, the model is able to describe multi-dimensional movement of multiphase flows. Through the numerical simulations comparing with the experiments and the simulations of other models on bubble columns, the model is validated.