基于导热反问题圆管内壁腐蚀减薄及污垢增厚的识别  

Identification of corrosion thinning and fouling thickening on the inner wall of a circular tube based on the inverse heat conduction problem

作　　者：张经豪 熊平 郝睿智 卢涛[1] ZHANG JingHao;XIONG Ping;HAO RuiZhi;LU Tao(College of Mechanical and Electrical Engineering,Beijing University of Chemical Technology,Beijing 100029,China)

机构地区：[1]北京化工大学机电工程学院,北京100029

出　　处：《北京化工大学学报（自然科学版）》2022年第1期98-105,共8页Journal of Beijing University of Chemical Technology(Natural Science Edition)

摘　　要：以二维圆管为研究对象,基于有限元法的导热正问题(direct heat conduction problem, DHCP)以及基于列文伯格-马夸尔特(Levenberg-Marquardt, L-M)算法的优化方法来构建二维稳态导热反问题数学模型,通过关联COMSOL与MATLAB对圆管内壁腐蚀减薄和污垢增厚两类缺陷进行了定量识别。为了探究模型的有效性与精确性,分别设定了几种典型缺陷进行数值计算,并系统地分析了初值选取、管道外表面测温点数目及测温误差对反演精度的影响。数值实验结果表明该模型能够准确地识别圆管内壁面的两类缺陷,且具备良好的稳定性与抗噪性。Taking a two-dimensional circular tube as the research object, a mathematical model of the two-dimensional steady-state inverse heat conduction problem was constructed based on the direct heat conduction problem(DHCP) of the finite element method and an optimization method based on the Levenberg-Marquardt(L-M) algorithm. Through the combination of COMSOL and MATLAB, two types of defects—corrosion thinning and fouling thickening on the inner wall of the circular tube—were quantitatively identified. In order to explore the validity and accuracy of the model, several typical defects were employed for numerical calculations. The effects of the initial value selection, the number of temperature measurement points and the temperature measurement error on the outer surface of the pipeline on the accuracy of the inversion results were systematically analyzed. Numerical experiments prove that the model can accurately identify the two types of defects on the inner wall of a circular tube, which has good stability and noise resistance.

关 键 词：导热反问题 缺陷识别 列文伯格-马夸尔特(Levenberg-Marquardt L-M)算法 

分 类 号：TK38[动力工程及工程热物理—热能工程]