辐射腔体热源反向优化设计

介绍的待设计热力系统通过辐射加热使目标从初始已知状态按照设定温度进程升温到最终的热稳定状态。对于热源就是寻求满足整个加热过程的热流输入函数,在空间结构和腔体表面性质已知的条件下,热流输入函数可以通过目标的步时确定,问题转变成非稳态问题。非稳态问题的引入使问题更具有实际应用的价值,采用截断奇异值分解法来求解。

The Optimal Design of Heater in an Inverse for Radiating Enclosures

This study considers the design of thermal systems that are built to radiatively heat objects from a specified initial condition to a specified steady state following a prescribed temperature history.The necessary power input distributions for the heaters during the heating process are sought to satisfy the design specifications.The geometry and the properties of the surfaces are specified and the boundary condition on the heater wall is to be found by making use of the information provided at the design surface for each time step.The introduction of the transient nature makes the inverse problem nonlinear and even more realistic.The inverse problem is solved by the truncated singular value decomposition.