在复杂边值条件下非稳态肋片传热的最优化（Ⅰ）

Optimization of Unsteady Heat Transfer of a Fin under Complex Boundary Value Conditions(Ⅰ)

研究了在辐射和对流同时作用下肋根温度作周期性变化时矩形肋片的传热特性．首先建立了在这种复杂边值条件下肋片传热的数学模型，导出相应的主控微分方程式，求解了经简化后方程的精确解，分析了肋片的温度分布随肋高、时间和毕渥准则数等因素变化的规律．

The heat transfer performance of a rectangular fin during periodic fin base temperature change is studied under simultaneous action of radiation and convection. The first part includes a mathematical modeling of finned heat transfer under this boundary conditions; a derivation of corresponding main control differential equation; and a precision solution of equation under simplified way; and the regular pattern of the change of heat distribution with fin length and time and Biot's criterion measure.