A finite element solution for the Navier-Stokes equations for steady flow under the porosity effects through a double branched two-dimensional section of a threedimensional model of a canine aorta was obtained. The numerical solution involves transforming a physical coordinates to a curvilinear boundary fitted coordinate system. The steady flow, branch flow and shear stress under the porous effects were discussed in detail.The shear stress at the wall was calculated for Reynolds number of 1 000 with branch to main aortic flow rate ratio as a parameter. The results are compared with earlier works involving experimental data and it has been observed that our results are very close to the exact solutions. This work is in fact an improvement of the work of Sharma et al. (2001) in the sense that computational technique is economic and Reynolds number is large.