variavel0=<b>Eduardo A. B. Silva</b> - eduardo@labsin.ufsc.br UFSC
<b>A. A. Ulson de Souza</b> - augusto@enq.ufsc.br UFSC
<b>Selene M. A. Guelli U. Souza</b> - selene@enq.ufsc.br 
<b>Abstract.</b> Simulated Moving Bed Reactor represents a promising technology where chemical reactions and the separation of the chemical species simultaneously occur in the same unit, being able to result in increase in the conversion of the reagents and efficiency in the products separation. In this work the mass transfer process in a Simulated Moving Bed Reactor is analyzed in terms of the Method of Volume Averaging, in which the valuable information about the rate of reaction and/or rate of adsorption in the micro-scale can be transported to the resultant equation in the macro-scale. The governing transport equations are developed for both phases - fluid and solid - taking into account a first order, irreversible chemical reaction in the continuous phase and linear adsorption of the products in the porous matrix. The hypotheses and restrictions applied in this formulation are indicated. The result of this analysis provides the correct definition of the involved effective transport coefficients, that could be predicted by the resolution of the closure problem.
<b>Keywords.</b> Mathematical formulation, Simulated moving bed reactor, Method of volume averaging.