考察了工程热物理研究和设计过程中提出的一类传热过程的热流量优化控制问题，这归结为偏微分方程约束下的泛函变分问题。在区域具有一定对称性，同时传热系数具有分离变量结构的假定下，利用分离变量直接求解所给出的信息，分别导出了边值最佳选取和传热系数最佳选取问题的最优解。这对于一般情况下缺乏对称性的问题的研究也具有启发意义。 The problem of optimal control of heat flux for a type of heat transfer process proposed in the engineering thermophysics research and design process is investigated. This is due to the functional variational problem under the constraint of partial differential equations. Under the assumption that the region has a certain symmetry and the heat transfer coefficient has the structure of the variable, the optimal solution of the optimal selection of the boundary value and the optimal selection of the heat transfer coefficient are derived respectively by using the separation variables to directly solve the given information. . This is also instructive for the study of the lack of symmetry in general.