In this paper analytical solution has been used to obtain the velocity profiles and temperature field in the moving boundary problems (solidification). The Stephan model has been employed and problem has been solved by using the integral method. The results are compared and it is shown that a third order polynomial would fit quite well with the analytical result. It is assumed that physical properties for both liquid and solid phases remain constant. The most significant part is the interfacial period between two different phases which its properties should be known well. In this paper the heat transfer in this interfacial section phase has been considered. It has been supposed that domain is filled by liquid and restart to solidification from top. Governing equations have been driven for both phases and propose different solutions.

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