“…In this context, a huge number of models have already been developed trying to represent the DR process. These models range from singleparticle approaches to multiparticle and components models with topochemical and grain models (Venkateswaran and Brimacombe, 1977, Yu and Gillis, 1981, Takenaka and Kimura, 1986, Negri, 1991and 1995, Parisi and Laborde, 2004, Piotrowski et al, 2005, , Pineau et al, 2006, Thurnhofer, 2006, Valipour et al, 2006, Ajbar et al, 2011, Nouri, 2011, Costa et al, 2013, Shams and Moazeni, 2015, Kazemi, 2017, Castro, 2018, Rocha et al, 2019. Since the DR process can be summarized as a counter-current bed composed of solid and gas into a mass and heat transfer, the most acceptable and useful models correspond to numerical models that comprise the multi interaction and multiple phase theory.…”