화학공학소재연구정보센터
Chemical Engineering Science, Vol.120, 112-116, 2014
Unification of EMMS and TFM: structure-dependent analysis of mass, momentum and energy conservation
The two-fluid model (TFM) has been widely applied in simulation of various multiphase flow systems In particular, for fine particle circulating fluidization, the drag force plays a critical role whereas the classic drag models based on empirical correlations of homogeneous fluidization are found inadequate. Therefore, various approaches have been proposed in recent years to account for the effects of mesoscale structure on the drag force, in which the energy minimization multi scale model (EMMS) has received rapidly growing applications. However, the relationship between the TFM and EMMS has not been clarified to enable their combination. To solve this problem, we present a structure dependent analysis of mass, momentum and energy conservation equations. This analysis is rooted in the structure dependent multi fluid model (SFM), which details the composition of drag forces and energy consumptions and their relationships with consideration of meso-strucLures. With assumption of homogeneous structures, it reduces to the TEM equations; for steady state systems with structures, it restores the force balance equations, equal pressure drop relation and energy relationship of the EMMS. In future, the scale dependence of this analysis deserves more efforts to understand the applicability of the EMMS stability condition on different scales. (C) 2014 Elsevier Lid. All rights reserved.