摘要
对恒热流加热条件下物体表面的烧蚀过程进行近似理论分析计算。烧蚀过程中的烧蚀界面位置随时间移动,其位置未知且是解的一部份,在移动的界面上须满足能量平衡条件。将烧蚀过程分为物体的预热使加热表面达到熔解温度阶段和开始烧蚀阶段,分别对两阶段的温度场进行理论分析,利用移动界面上的能量平衡条件,建立烧蚀移动界面的运动控制方程。该方程是一阶非线性常微分方程,通过数值计算得到在不同热流条件下烧蚀界面的移动规律。利用该方程可方便地确定任意时刻的烧蚀进度,可为烧蚀过程的控制提供理论依据。
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.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2007年第2期76-80,共5页
Journal of Mechanical Engineering
基金
上海市教委科技发展基金资助项目(040B08)
关键词
烧蚀
移动界面
恒热流
Ablation process
Moving interface
Constant heat flux
