By using a bicylindric coordinates and vorticity-stream function formalism, the authors study the natural convection in a porous medium in an enclosure delimited by portions the cylindrical enclosure. After having a dimensionnalise our equations, the space discretization is performed using a finite difference method while a purely implicit schema is adopted for the time discretization. The algebraic systems of equations of the discretization are solved by a Successive under Relaxation method (SUR). The results obtained show the dependence of the heat transfers in various porous median (several of the Darcy number).