“…The model assumes the gas and solid phases as continuous and fully interpenetrating within each control volume. It is less computationally exhaustive in comparison to the discrete Eulerian-Lagrangian method which simulates the individual particle dynamics (Gera et al, 1998(Gera et al, , 2004Ibsen et al, 2004) and the complete Lagrangian model which models both particles and fluid with a Lagrangian approach (Ge and Li, 1997. A combination of the Eulerian-Eulerian model and the Eulerian-Lagrangian model was recently considered by Papadikis et al (2008Papadikis et al ( , 2009aPapadikis et al ( ,b,c,d, 2010a where one or two Lagrangian biomass particles were introduced to a Eulerian-Eulerian bubbling bed of inert sand.…”