TEC结构的三维非线性瞬态温度场分析

热电制冷器(TEC)以其体积小、作用速度快及无噪音等机械制冷无法替代的优点在航空航天和电子工业等领域得到了越来越广泛的应用。本文根据TEC的导热特点,推导了TEC结构稳态温度场的解析解,建立了其瞬态非线性温度场分析的微分方程。利用伽辽金法导出TEC结构热分析的有限元方程,对非线性热分析的有限元方程进行了求解,得到了TEC的稳态温度场和瞬态响应温度场。算例结果表明,本文提出的TEC结构热分析有限元模型具有较高的精度,能够有效地分析TEC的非线性瞬态温度场。

Three-dimensional nonlinear temperature field analysis of TEC structure

Thermo-electric cooler(TEC) has been more and more widely used in aerospace,electronic industry and etc,for its merits which mechanical refrigeration lacks,such as small volume,high working speed and no noise.In this paper,the stationary temperature field analytical solution of TEC based on the heat transfer characteristics of TEC is derived.The differential equation of transient nonlinear temperature field analysis for TEC structure is also established.By deriving the finite element equation of TEC structure’s thermal analysis with Galerkin method and solving the finite element equation of the nonlinear thermal analysis,both the steady temperature field and the transient temperature field are obtained.The numerical results show that the presented finite element model for TEC structure’s nonlinear thermal analysis has a high precision and efficiency in analyzing the nonlinear temperature field of TEC.