Abstract：The heat conduction equation is solved under specific boundary conditions.The optimized coefficients of the resulted temperature distribution equation are simplified with the piecewise integral method, so the associated model of the heat-transfer pipe device is established.The relationship of the surface temperatures, the material properties and the inner wall condition of the heat-transfer pipe equipment is described in the associated model.And this model is applied in the inner wall condition monitoring for the heat-transfer pipe equipment.Combining with the inverse heat conduction problem, the surface temperature data is analyzed with the associated model to get the inner wall geometrical shape.The feasibility of this method is verified by simulation experiment.This method also provides a basis for the real-time monitoring of the heat-transfer pipes internal condition.
［1］Kassab A J, Hsieh C K. Solution of the inverse geometric problem for the detection of subsurface cavities by the IR-CAT method ［J］.Rev Sci Instrum,1997, 58(1):33-65.
［2］Sahnoun S, Belattar S. Thermal non destructive testing study of a circular defect in plane structure ［J］.British Journal of NDT,2003, 8(8):115-121.
［3］Huang C H, Chaing M T. A three-dimensional inverse geometry problem in identifying irregular boundary configurations ［J］.International Journal of Thermal Sciences, 2009, 48(3):502-513.
［4］Sakagami T, Kubo S. Applications of pulse heating thermography and lock-in theromography to quantitative nondestructive evaluations ［J］.Infrared Physics & Technology, 2002, 43(4):211-218.
［5］Cha'o-Kuang Chen, Chin-Ru Su. Inverse estimation for temperatures of outer surface and geometry of inner surface of furnace with two layer walls ［J］. Energy Conversion and Management, 2008, 49(2):301–310.
［6］苟小龙,张建涛,王广军.基于导热反问题的管道内部缺陷诊断［J］.重庆大学学报(自然科学版),2010,32(2):42-46.
［7］范春利,孙丰瑞,杨立.边界形状的红外识别算法［J］.化工学报, 2010,61(11): 83-88.
［8］张有为,李辉,姜培学.采用共轭梯度法的管内壁温度导热反问题求解［J］.工程热物理学报,2009,30(7),1188-1190.
［9］冯立春,陶宁,徐川.锁像热像技术及其在无损检测中的应用［J］.红外与激光工程,2010,39(12),1120-1123.
［10］王清秀,宋利明,杨泽宽.三维圆柱体系红外CAT解法［J］.冶金能源,1995, 14(2): 45-49.
［11］关荣华,于慧.对圆柱型设备内壁缺陷的红外热诊断实验［J］.激光与红外,2002,32(1): 37-39.
［12］康文秀.两层介质圆筒热设备运行状态的红外监测［J］.激光与红外,2009, 39(10): 68-69.
［13］奥奇西克 M N. 热传导［M］.俞昌铭,译. 北京：高等教育出版社, 1983.
［14］田立平.数学物理方程及其反问题研究［M］.北京:机械工业出版社,2010.
2015, Vol. 36 
