摘要
采用等效热容法求解伴有相变过程的瞬态热传导问题 .在整个区域建立统一的能量方程 ,将分区域求解问题化为整个区域的非线性问题处理 .给出了解决相变温度为单一温度或者相变温度区间很小时产生的数值奇异问题的方法 .用热焓判据判断单元是否发生相变 ,并考虑了固液两相材料物性参数的变化 ,相变界面位置按线性插值计算 .算例表明 ,等效热容法求解相变传热问题 ,程序简单 ,计算效率高 ,相变界面位置计算准确 .
The equivalent heat capacity method has been studied to solve the problems of transient heat transfer with phase change and some numerical approaches are proposed. The uniform energy equation is constructed for whole domain, and its nonlinear heat transfer problem is directly treated instead of the domain decomposition. The numerical singular problem resulted from the single value or small interval of phase change temperature is solved effectively with proper approximate calculation of element equivalent heat capacity. The heat enthalpy criterion is used to judge if the phase change occurs within element, and the change of material property associated with temperature is taken into account, and the position of phase change interface is calculated with linear interpolation within each element. The numerical computational results of two typical examples and comparison with analytical solutions have been given. It is shown that the equivalent heat capacity method proposed in this paper is simple in programming, efficient in computation, and accurate in calculating the position of phase change interface for the numerical solution of the phase change heat transfer problems.
出处
《化工学报》
EI
CAS
CSCD
北大核心
2004年第9期1428-1433,共6页
CIESC Journal
基金
国家自然科学基金项目 (No 10 0 3 2 0 3 0 )
国家重点基础研究专项经费 (No G19990 3 2 80 5 )共同资助~~
关键词
传热
相变
等效热容
热焓
相界面
Decomposition
Enthalpy
Interpolation
Numerical methods
Phase interfaces
Solutions
Temperature distribution
