Numerical solution of ablation problem using modified constraint integral method

The present paper studies the heat transfer with ablation in a finite slab subjected to heat flux. Ablation problem consists of two stages the pre-ablation stage and the ablation stage, which is the object of the present paper. The modified constraint integral method is a technique developed by the author. It simply transforms the governing equations to a system of linear equations. In the present paper, another approach of the same method is applied to solve ablation problem in a finite domain. The results obtained by the present method gave a good agreement with previous integral techniques.