A combined domain and integral techniques to solve planar oxidation problem

In this paper, a semi-analytical method is developed to solve planar oxidation problems in a semi-infinite domain. The proposed method is based mainly on a combined procedure for both domain transformation and boundary layer integral techniques in the oxide layer. A numerical algorithm is then developed to find the unknowns in the assumed profiles for oxygen concentration in both layers. The results of the proposed method were compared with previous available approximate solutions and gave a good agreement.