Algorithm of identification of interfacial geometry based on method of effective thermal conductivity

Cao Mingyu; Fan Chunli; Wang Wendong

The boundary shape identification based on the surface temperature measurement is not only a key theoretical basis for quantitative development of thermographic nondestructive technique, but also an important and difficult issue in the research of inverse heat conduction problem. When identifying the boundary shape, for ordinary algorithms, the boundary shape continually changes during the iterative process, which increases the calculation complexity and restricts practical application of the algorithm. Based on previous algorithm researches, the identification problem of interfacial geometry has been transformed into that of the distribution of effective thermal conductivities. The distribution result obtained based on the modified one-dimensional correction method is then converted to the desired boundary shape. Numerical test cases have proved that the algorithm with the transform theory which greatly reduced the calculational complexity of the identification process, is an effective method in dealing with identification problem of interfacial geometry.

1. Department of Power Engineering,Naval University of Engineering,Wuhan 430033,China

Received Date: 2013-01-19

Rev Recd Date: 2013-02-13

Publish Date: 2013-09-25

Key words:

interfacial geometry identification /
inverse heat conduction problem /
effective thermal conductivity /
modified one-dimensional correction method

Abstract: The boundary shape identification based on the surface temperature measurement is not only a key theoretical basis for quantitative development of thermographic nondestructive technique, but also an important and difficult issue in the research of inverse heat conduction problem. When identifying the boundary shape, for ordinary algorithms, the boundary shape continually changes during the iterative process, which increases the calculation complexity and restricts practical application of the algorithm. Based on previous algorithm researches, the identification problem of interfacial geometry has been transformed into that of the distribution of effective thermal conductivities. The distribution result obtained based on the modified one-dimensional correction method is then converted to the desired boundary shape. Numerical test cases have proved that the algorithm with the transform theory which greatly reduced the calculational complexity of the identification process, is an effective method in dealing with identification problem of interfacial geometry.

HTML

Reference (29)

[1]
[2]	Huang C H, Chao B H. An inverse geometry problem in identifying irregular boundary configurations[J]. International Journal of Heat and Mass Transfer, 1997, 40: 2045-2053.
[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: 502-513.
[4]
[5]	Huang C H, Tsai C C. A transient inverse two-dimensional geometry problem in estimation time-dependent irregular boundary configurations[J]. International Journal of Heat and Mass Transfer, 1998, 41: 1707-1718.
[6]
[7]	Fan C L, Sun F R, Yang L. An algorithm study on identification of the subsurface defect for infrared thermography[J]. J Eng Thermophys, 2007, 28: 304-306. (in Chinese)
[8]
[9]	Fan C L, Sun F R, Yang L. A quantitative identification technique for a two-dimensional subsurface defect based on surface temperature measurement[J]. Heat Transfer-Asian Research, 2009, 38: 223-233.
[10]
[11]
[12]	Li B, Liu L H. An algorithm for geometry boundary identification of heat conduction problem based on boundary element discretization[C]//Proceedings of CSEE, 2008: 20. (in Chinese)
[13]	Li B, Liu L H. Geometry boundary identification of unsteady heat conduction based on dual reciprocity boundary element method[C]//Proceedings of the CSEE, 2009: 5.
[14]
[15]	Chen C K, Su C R. 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: 301-310.
[16]
[17]	Su C R, Chen C K. Geometry estimation of the furnace inner wall by an inverse approach[J]. International Journal of Heat and Mass Transfer, 2009, 50: 3767-3773.
[18]
[19]
[20]	Fan C L, Sun F R, Yang L. An algorithm study on inverse identification of interfacial configuration in a multiple region domain[J]. ASME Journal of Heat Transfer, 2009, 131: 021301.
[21]
[22]	Fan C L, Sun F R, Yang L. A new computational scheme on quantitative inner pipe boundary identification based on the estimation of effective thermal conductivity[J]. Journal of Physics D: Applied Physics, 2008, 41: 205501.
[23]
[24]	Fan C L, Sun F R, Yang L. Conductivity-based scheme for identification of an inner pipe boundary from temperature measurements[J]. AIAA J Thermophy Heat Transfer, 2009, 23: 197-199.
[25]	Fan C L, Zhang M X, Hu S X, et al. Identification of plate surface geometry: a numerical and experimental study[J]. Numerical Heat Transfer B, 2012, 61: 52-70.
[26]
[27]
[28]	Akima H. A new method of interpolation and smooth curve fitting based on local procedures[J]. Journal of the Association for Computing Machinery, 1970, 17(4): 589-602.
[29]	Li B. Boundary element method for inverse geometry problem of heat conduction[D]. Harbin: Harbin Institute of Technology, 2008.

Algorithm of identification of interfacial geometry based on method of effective thermal conductivity

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Related

Proportional views