A model based on one-dimensional approach which considers the radiation within each zone and between immediately adjacent zones as well as conduction and convection is proposed in this work. The zone modeling and jet or flame, annular gas and solid flowing streams approach is adopted. The kiln and afterburner are splitted of axially into equal width zones, where each stream is considered well stirred. The heat capacities, thermal condutivities and viscosities are calculated taking into account the dependence on temperature and compositions. The influences of the several parameters, flame geometry approximation, as well as, the mass loss rate specification on flame and exit temperature are analyzed.