variavel0=Marcelo J.S. De Lemos - delemos@mec.ita.br ITA Luzia A. Tofaneli - ltofa@mec.ita.br ITA Abstract. In this work, numerical solutions are presented for laminar flow in a channel finned with porous material. The condition of spatially periodic cell is applied longitudinally along the channel. The equations of movement and mass continuity are written for an elementary representative volume yielding a set of equations valid for the entire computational domain. These equations are discretized using the control volume method and the resulting system of algebraic equations is relaxed with the SIMPLE method. Results are presented for the velocity field as a function of the porosity and permeability of the fins. Keywords. Channel flow, porous medium, numerical solution.