“…The dispersed turbulence model is commonly used, where the liquid phase turbulence is modeled using either an eddy viscosity model or a Reynolds stress model, while the gas phase is assumed to be laminar due to low flow rates usually employed. It can be seen from (Mortuza et al, 2012;Seo e al., 2012;Nauha and Alopaeus, 2013;2015;Gerdes et al, 2014;Gerdes et al, 2014;Bari et al, 2014;2015), airlift (Luo and Al-Dahhan, 2011;Massart et al, 2014;Soman and Shastri, 2015), flat plate (Shu et al, 2010;Zhang et al, 2012;Huang et al, 2014;Wang et al, 2014; and raceway reactor (Xu et al, 2014;Hreiz et al, 2014;Prussi et al, 2014;Park and Li, 2015;Huang et al, 2015c;Zeng et al,2016), the standard k-ε turbulence model and its variants were widely used to model the liquid turbulence because of its simplicity and lesser computational expensive. Sometimes the k-ε turbulence model was modified to account for the bubble induced turbulence (Luo and Al-Dahhan, 2011;Li et al, 2012).…”