An analytic model for transient heat conduction in bi-layered structures with flexible serpentine heaters  

作　　者：Zhao ZHAO Yuhang LI Sujun DONG Yi CUI Zheng DAI 

机构地区：[1]Institute of Solid Mechanics,Beihang University,Beijing 100191,China [2]School of Aeronautic Science and Engineering,Beihang University,Beijing 100191,China [3]Shanghai Aircraft Design&Research Institute of Commercial Aircraft Corporation of China(COMAC),Shanghai 201210,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2021年第9期1279-1296,共18页应用数学和力学（英文版）

基　　金：the National Natural Science Foundation of China(No.11772030);the Aeronautical Science Foundation of China(No.2018ZC51030);the Natural Science Foundation of Zhejiang Province of China(No.Y21A020002);the Opening Fund of State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology(No.GZ19117)。

摘　　要：Uniform heating of complex surfaces,especially non-developable surfaces,is a crucial problem that traditional rigid heaters cannot solve.Inspired by flexible electronic devices,a novel design for the stretchable heating film is proposed with the flexible serpentine wire embedded in the soft polymer film,which can be attached to non-developable surfaces conformally.It provides a new way for the stretchable heaters to realize uniform heating of complex surfaces.However,the thermal field of flexible serpentine heaters(FSHs)depends on the configurations of the embedded serpentine heating wire,which requires accurate theoretical prediction of real-time temperature distribution.Therefore,the analytical model for the transient heat conduction in FSHs is solved by the separation of variables method and validated by the finite element analysis(FEA)in this paper.Based on this model,the effects of the geometric parameters,such as the radius and the length of the serpentine heaters,on the thermal uniformity are systematically investigated.This study can help to design and fabricate flexible heaters with uniform heating in the future.

关 键 词：serpentine heater bi-layered structure transient heat conduction temperature distribution 

分 类 号：O551[理学—热学与物质分子运动论] O302[理学—物理]