“…The TFM approach has been proofed and obtained great progress in modeling gas fluidization of Geldart B and D particles and dilute gas-solid flow. However, many researchers have found that the simulated bed expansion characteristics for dense bubbling beds or turbulent beds of Geldart A particles by the standard TFM approach are overestimated, which do not completely coincide with the experimental data (Ferschneider and Mege, 1996;Mckeen and Pugsley, 2003;Yang et al, 2003aYang et al, , 2003bZhang, 2004;Zimmermann and Taghipour, 2005;Cao, 2006;van Wachem and Sasic, 2008;Mao et al, 2008;Gao et al, 2008aGao et al, , 2008bHosseini et al, 2009;Li et al, 2009). The researchers argued that the fundamental cause resulting in the overestimated bed expansion is that the feature of aggregative fluidization caused by particle clustering is not considered in the current several universal drag laws, such as Gidaspow, Syamlal-O'Brien drag laws, etc.…”