Continuum species transfer model for reactive mass transfer from a dissolving bubble floating at high Péclet number

In the present study, the numerical accuracy of a continuum species transfer (CST) model coupled with the volume-of-fluid (VOF) method for high Schmidt number fluids with or without chemical reactions was evaluated for the purpose of creating a numerical model of multiphase flow for use in a steel-making process. Even under the condition without a chemical reaction, the original CST model is incapable of accurately calculating mass transfer under conditions characterized by a high Péclet (Pe) number. However, the compressive CST (C-CST) model has been demonstrated to possess the capacity to accurately calculate mass transfer under conditions characterized by a high Pe number. The C-CST model, when coupled with a chemical reaction, was also validated for chemical absorption. The C-CST model with a chemical reaction can calculate the entire mass transfer involving a chemical reaction, particularly in conditions characterized by high Schmidt and Péclet numbers. However, numerical inaccuracies have been observed in the local mass transfer and chemical reaction due to calculation errors in the interfacial curvature necessary for the VOF method.