主动冷却平板型结构件的最高温度及温度分布解析模型

An analytical model for maximum temperature and temperature distribution of plate structure with active cooling

主动冷却平板型结构件应用广泛,快速评估其温度性能具有重要意义.本文提出了一种用于预测主动冷却平板型结构件的最高温度和温度分布的解析模型.解析模型有三种输入参数,包括热边界条件、材料特性和几何参数.分别讨论了两种热边界条件下的求解过程,包括热流密度边界和对流传热边界.根据能量守恒原理,建立了热流密度边界模型(MHF).采用二次函数拟合真实热流密度分布的方法,建立了对流传热边界模型(MCHT).结构件的材料有铝合金和钛合金.结果表明,与数值模型结果相比,该解析模型能够预测最高温度,误差小于4%.该模型能够快速、准确地评估主动冷却平板型结构件的热防护性能.

Plate structures with active cooling are widely used,and rapid evaluation of the temperature performance is of interest.In this paper,an analytical model is proposed for the prediction of maximum temperature and temperature distribution of plate structures with active cooling channel.The analytical model has three types of input parameters including thermal boundary conditions,material properties,and geometry parameters.Solution procedures under different thermal boundary conditions,including heat flux and convective heat transfer,are discussed respectively.The model with heat flux boundary(MHF)is established based on the principle of energy conservation.The model with convective heat transfer boundary(MCHT)is established based on the method of second-order function fitting the real heat flux distribution.The materials of the plate structures are aluminum alloy and titanium alloy.The results show that the analytical model is able to predict the maximum temperature with an error of less than 4%compared to the numerical method.The analytical model is able to quickly and accurately evaluate the thermal protection performance of the active cooling structure.