Numerical Modeling of Non-Charring Material Ablation with Considering Chemical Reaction Effects, Mass Transfer and Surface Heat Transfer

Abstract

Presently, there is little information, concerning the heat shield systems, and this<br><br>information is not completely reliable to use in so many cases. For example, the precise<br><br>calculation can not be done for various materials. In addition, the real scale test has two<br><br>disadvantages: high cost and low flexibility, and for each case, we must perform a new test.<br><br>Hence, using a numerical modeling program that calculates the surface recession rate and<br><br>interior temperature distribution is necessary. Also, the numerical solution of governing<br><br>equation for non-charring material ablation is presented in order to anticipate the recession<br><br>rate and the heat response of non-charring heat shields. The governing equation is<br><br>nonlinear and the Newton-Rafson method along with TDMA algorithm(Thomas algorithm)<br><br>is used to solve this nonlinear equation system. Using Newton- Rafson method for solving<br><br>the governing equation is one of the advantages of the solving method because this method<br><br>is simple and it can be easily generalized to more difficult problems. The obtained results<br><br>are compared with reliable sources in order to examine the accuracy of compiling code.