“…(Schiller and Naumann, 1935) While for larger bubble size, a model was proposed by Ishii and Zuber,(Ishii and Zuber, 1979) which is suitable for various shapes of bubbles such as sphere, ellipse and cap shape. (Ishii and Zuber, 1979;Xu et al, 2013) Recently, Yang et al (Yang et al, 2011) suggested a dual-bubble size (DBS) model, (Chen et al, 2009;Yang et al, 2010;Yang et al, 2007) where the force balance equations of two bubble classes are closed via a stability condition. Afterwards, they developed a stability-constrained multi-fluid (SCMF) model for the CFD simulation of bubble columns.…”