Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)In this paper two different numerical approaches are used to find out the steady-state solution for multiphase chemical reactors. Such systems are distributed parameter systems and the steady-state formulation problem leads to a system of nonlinear algebraic equations. The problem is to solve the equations in a robust way so that reliable predictions can be made. Bearing this in mind in this work two methods are implement and their performances compared, to know the Orthogonal Collocation Method e the Finite Volume Method. The results show that in spite of good qualitative agreement in the predictions the latter approaches in more suitable to have a direct solution of the steady-state model of the reactor.o TEXTO COMPLETO DESTE ARTIGO, ESTARÁ DISPONÍVEL À PARTIR DE AGOSTO DE 2015.1Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)