A method on identification of multiple cavities in one finite body based on surface temperature measurements: A numerical and experimental study

References

• X. Maldague, Theory and Practice of Infrared Technology for Nondestructive Testing. New York, NY: Wiley, 2001.
   Google Scholar
• C. L. Fan, Geometric Inverse Heat Conduction Problem: Methods and Applications. Beijing: Science Press, 2015. (in Chinese)
   Google Scholar
• V. P. Vavilov and S. S. Pawar, “A novel approach for one-sided thermal nondestructive testing of composites by using infrared thermography,” Polym. Test, vol. 44, pp. 224–233, 2015.
   Web of Science ®Google Scholar
• C. K. Hsieh and K. C. Su, “A methodology of predicting cavity geometry based on the scanned surface temperature data-prescribed surface temperature at the cavity side,” J. Heat Transfer, vol. 102, no. 2, pp. 324–329, 1980.
   Web of Science ®Google Scholar
• C. K. Hsieh and K. C. Su, “A methodology of predicting cavity geometry based on the scanned surface temperature data-prescribed heat flux at the cavity side,” J. Heat Transfer, vol. 103, no. 1, pp. 42–46, 1981.
   Web of Science ®Google Scholar
• C. K. Hsieh and A. J. Kassab, “A general method for the solution of inverse heat conduction problems with partially unknown system geometries,” Int. J. Heat Mass Transfer, vol. 29, no. 1, pp. 47–58, 1986.
   Web of Science ®Google Scholar
• C. H. Huang and B. H. Chao, “An inverse geometry problem in identifying irregular boundary configurations,” Int. J. Heat Mass Transfer, vol. 40, no. 9, pp. 2045–2053, 1997.
   Web of Science ®Google Scholar
• C. H. Huang and C. C. Shih, “A shape identification problem in estimating simultaneously two interfacial configurations in a multiple region domain,” Appl. Therm. Eng., vol. 26, no. 1, pp. 77–88, 2006.
   Web of Science ®Google Scholar
• C. H. Huang and C. Y. Liu, “A three-dimensional inverse geometry problem in estimating simultaneously two interfacial configurations in a composite domain,” Int. J. Heat Mass Transfer, vol. 53, no. 1–3, pp. 48–57, 2010.
   Web of Science ®Google Scholar
• W. L. Chen and Y. C. Yang, “Inverse estimation for unknown fouling-layer profiles with arbitrary geometries on the inner wall of a forced-convection duct,” Int. J. Therm. Sci., vol. 49, no. 1, pp. 86–98, 2010.
   Web of Science ®Google Scholar
• W. L. Chen, Y. C. Yang, and H. L. Lee, “Three-dimensional pipe fouling layer estimation by using conjugate gradient inverse method,” Numer. Heat Transfer A, vol. 55, no. 9, pp. 845–865, 2009.
   Web of Science ®Google Scholar
• J. Y. Tan, J. M. Zhao, and L. H. Liu, “Meshless method for geometry boundary identification problem of heat conduction,” Numer. Heat Transfer B, vol. 55, no. 2, pp. 134–154, 2009.
   Web of Science ®Google Scholar
• C. L. Fan, F. R. Sun, and L. Yang, “An algorithm study on identification of subsurface defect based on thermographic temperature measurement,” J. Eng. Thermophys., vol. 28, no. 2, pp. 304–306, 2007. (in Chinese)
   Google Scholar
• C. L. Fan, F. R. Sun, and L. Yang, “A quantitative identification technique for a two-dimensional subsurface defect based on surface temperature measurement,” Heat Transfer Asian Res., vol. 38, no. 4, pp. 223–233, 2009.
   Google Scholar
• C. H. Huang, C. C. Chiang, and H. M. Chen, “Shape identification problem in estimating geometry of multiple cavities,” J. Thermophys. Heat Trans., vol. 12, no. 2, pp. 270–277, 1998.
   Web of Science ®Google Scholar
• C. H. Huang, and C. A. Chen, “A three-dimensional inverse geometry problem in estimating the space and time-dependent shape of an irregular international cavity,” Int. J. Heat Mass Transfer, vol. 52, no. 7–8, pp. 2079–2091, 2009.
   Web of Science ®Google Scholar
• C. L. Fan, F. R. Sun, and L. Yang, “An algorithm study on inverse identification of interfacial configuration in a multiple region domain,” ASME,” J. Heat Transfer, vol. 131, no. 2, pp. 021301, 2009.
   Web of Science ®Google Scholar
• C. L. Fan, M. X. Zhang, S. X. Hu, L. Yang, and F. R. Sun, “Identification of plate surface geometry: a numerical and experimental study,” Numer. Heat Transfer B, vol. 61, no. 1, pp. 52–70, 2012.
   Web of Science ®Google Scholar
• C. L. Fan, F. R. Sun, and L. Yang, “A new computational scheme on quantitative inner pipe boundary identification based on the estimation of effective thermal conductivity,” J. Phys. D Appl. Phys., vol. 41, no. 20, pp. 205501, 2008.
   Web of Science ®Google Scholar
• C. K. Chen and C. R. Su, “Inverse estimation for temperatures of outer surface and geometry of inner surface of furnace with two layer walls,” Energ. Convers. Manage., vol. 49, no. 2, pp. 301–310, 2008.Vol
   Web of Science ®Google Scholar
• C. R. Su and C. K. Chen, “Geometry estimation of the furnace inner wall by an inverse approach,” Int. J. Heat Mass Transfer, vol. 50, no. 19–20, pp. 3767–3773, 2007.Vol
   Web of Science ®Google Scholar
• E. Divo, A. J. Kassab, and F. Rodriguez, “An efficient singular superposition technique for cavity detection and shape optimization,” Numer. Heat Transfer B, vol. 46, no. 1, pp. 1–30, 2004.
   Web of Science ®Google Scholar
• M. W. Ni, A. J. Kassab, and E. Divo, “Automated hybrid singularity superposition and anchored grid pattern BEM algorithm for the solution of inverse geometric problems,” Eng. Anal. Bound. Elem., vol. 73, pp. 69–78, 2016.
   Web of Science ®Google Scholar
• Y. H. Li, G. J. Wang, H. Chen, Z. Y. Zhu, and D. Q. Zhang, “A decentralized fuzzy inference method for the inverse geometry heat conduction problem,” Appl. Therm. Eng., vol. 106, pp. 109–116, 2016.
   Web of Science ®Google Scholar
• H. Hesami and P. Mayeli, “Development of the ball-spine algorithm for the shape optimization of ducts containing nanofluid,” Numer. Heat Transfer A, vol. 70, no. 12, pp. 1371–1389, 2016.
   Web of Science ®Google Scholar
• H. L. Zhou, Y. S. Li, B. Yu, and H. L. Chen, “Shape identification for inverse geometry heat conduction problems by FEM without iteration,” Numer. Heat Transfer A, vol. 72, no. 8, pp. 628–641, 2017.
   Web of Science ®Google Scholar
• L. G. Page, J. Dirker, and J. P. Meyer, “Topology optimization for the conduction cooling of a heat-generating volume with orthotropic material,” Int. J. Heat Mass Transfer, vol. 103, pp. 1075–1083, 2016.
   Web of Science ®Google Scholar
• G. Marck, M. Nemer, J. L. Harion, S. Russeil, and D. Bougeard, “Topology optimization using the SIMP method for multiobjective conductive problems,” Numer. Heat Transfer B, vol. 61, no. 6, pp. 439–470, 2012.
   Web of Science ®Google Scholar
• Y. X. Li, P. Wei, and H. T. Ma, “Integrated optimization of heat-transfer systems consisting of discrete thermal conductors and solid material,” Int. J. Heat Mass Transfer, vol. 113, pp. 1059–1069, 2017.
   Web of Science ®Google Scholar
• J. S. Lee, J. E. Kim, and Y. Y. Kim, “Damage detection by the topology design formulation using modal parameters,” Int. J. Numer. Meth. Eng., vol. 69, no. 7, pp. 1480–1498, 2007.
   Web of Science ®Google Scholar
• M. P. Bendsøe and O. Sigmund, Topology Optimization: Theory, Methods and Applications. Berlin: Springer, 2003.
   Google Scholar
• K. Svanberg, “MMA and GCMMA, versions september 2007,” Optimization and Systems Theory. Stockholm, Sweden: KTH, 2007.
   Google Scholar
• J. H. K. Haertel and G. F. Nellis, “A fully developed flow thermofluid model for topology optimization of 3D-orinted air-cooled heat exchangers,” Appl. Therm. Eng., vol. 119, pp. 10–24, 2017.
   Web of Science ®Google Scholar
• F. H. Burger, J. Dirker, and J. P. Meyer, “Three-dimensional conductive heat transfer topology optimisation in a cubic domain for the volume-to-surface problem,” Int. J. Heat Mass Transfer, vol. 67, pp. 214–224, 2013.
   Web of Science ®Google Scholar
• M. N. Özışık and H. R. B. Orlande, Inverse Heat Transfer: Fundamentals and Applications. New York, NY: Taylor and Francis, 2000.
   Google Scholar