APPROXIMATE THEORETIC SOLUTION

FOR ABLATION PROCESS HEATED ON

CONDITION OF CONSTANT HEAT FLUX

WU Zhaochun LIU Yingxue YUAN Anmin

(Department of Environment and Energy Engineering, Shanghai Institute of Technology, Shanghai 200235)

Abstract: An approximate analytic solution for the ablation process heated with constant heat flux is presented. Ablation problems are mathematically analogous to moving boundary problems, which there is a boundary called melting front or moving interface. This moving interface is time dependent and on it thermodynamic equilibrium conditions and dynamic compatibility conditions are to be satisfied. Owing to these reasons, problems are highly nonlinear. The ablation process is divided into two stages, i.e., initially body is heated up to melting temperature and then ablation process is to be started. By means of heat transfer model and the conditions satisfied on the moving interface, the governing equation for the ablated surface motion is established. The equation is one-order nonlinear differential one and can be solved by algorithm schemes accurately. By use of this equation, the schedule of the ablation process can be determined easily. Simulations for different conditions of surface heat flux are demonstrated.

Key words: 烧蚀  移动界面  恒热流

CLC No: TK124 TG244

上海市教委科技发展基金资助项目(040B08). Received 20060411, received in revised form 20060905