摘要
建立了一种应用LevenbergMarquardt迭代过程求解非线性热传导逆问题用于预测材料热物性的方法.以平板内的一维非稳态热传导为研究对象,在准确的数值计算结果上施加非均匀随机误差来模拟瞬态温度实验数据,应用该方法分别对热传导系数为常数、热传导系数和容积比热容为常数以及热传导系数和容积比热容为温度的函数3种情况进行了预测.参数预测结果表明,方法对基于瞬态实验方法进行热物性预测具有良好的适应性,并适用于分析多类热传导逆问题,该方法还能为优化实验提供有效信息.
A method of estimating the thermal properties from the transient experiment based on the solution of the nonlinear inverse problem of parameter estimation by using the Levenberg-Marquardt iterative procedure was presented. In the application of the inverse method a one-dimensional unsteady heat conduction problem was used and simulated ＂measured＂ transient temperature data were generated by adding uniform random errors to the computed exact temperature. Temperature independent and dependent thermal conductivity and volumetric heat capacity were respectively estimated by using the method. The results showed that the method was suitable for practical calculation of thermal properties based on general transient experimental techniques and for analysis of inverse heat conduction problems. It could also provide useful information to optimize the experiment.
出处
《化工学报》
EI
CAS
CSCD
北大核心
2005年第12期2415-2420,共6页
CIESC Journal
