摘要
介绍了部分几何形状未知的热传导反问题.通过引入辅助问题并利用积分变换方法,推导出二维、双层球壳红外CAT通用算法,并对内表面为第三类边界条件进行了分析和讨论.通过数值实验对推导的算法进行了验证.
An inverse heat conduction problem with partially unknown geometries is presented. A general solution of IR CAT for two dimensions and two layers spherical shell is developed by introducing an auxiliary problem and using the integral transforms. The solution is analyzed and discussed when Robin condition is prescribed along the inner surface. Finally, the solution is tested by numerical experiment. The experimental results prove that the solution is feasible.
出处
《东北大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
1997年第4期347-350,共4页
Journal of Northeastern University(Natural Science)
基金
国家自然科学基金
关键词
热传导
温度场
加热设备
红外热象仪
inverse heat conduction problem,IR CAT,auxiliary problem.