Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2015, Article ID 916741, 10 pages
http://dx.doi.org/10.1155/2015/916741
Research Article

A New Algorithm for Reconstructing Two-Dimensional Temperature Distribution by Ultrasonic Thermometry

1School of Automation, Chongqing University, Chongqing 400044, China
2Key Laboratory of Dependable Service Computing in Cyber Physical Society, MOE, Chongqing 400044, China
3School of Software Engineering, Chongqing University, Chongqing 400044, China

Received 8 August 2014; Accepted 29 January 2015

Academic Editor: Muhammad N. Akram

Copyright © 2015 Xuehua Shen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. Khatami and Y. A. Levendis, “On the deduction of single coal particle combustion temperature from three-color optical pyrometry,” Combustion and Flame, vol. 158, no. 9, pp. 1822–1836, 2011. View at Publisher · View at Google Scholar · View at Scopus
  2. C. Lou and H.-C. Zhou, “Deduction of the two-dimensional distribution of temperature in a cross section of a boiler furnace from images of flame radiation,” Combustion and Flame, vol. 143, no. 1-2, pp. 97–105, 2005. View at Publisher · View at Google Scholar · View at Scopus
  3. M. Bramanti, E. A. Salerno, A. Tonazzini, S. Pasini, and A. Gray, “An acoustic pyrometer system for tomographic thermal imaging in power plant boilers,” IEEE Transactions on Instrumentation and Measurement, vol. 45, no. 1, pp. 159–167, 1996. View at Publisher · View at Google Scholar · View at Scopus
  4. C. Galletti, A. Parente, and L. Tognotti, “Numerical and experimental investigation of a mild combustion burner,” Combustion and Flame, vol. 151, no. 4, pp. 649–664, 2007. View at Publisher · View at Google Scholar · View at Scopus
  5. M. Pöschl and T. Sattelmayer, “Influence of temperature inhomogeneities on knocking combustion,” Combustion and Flame, vol. 153, no. 4, pp. 562–573, 2008. View at Publisher · View at Google Scholar · View at Scopus
  6. K. J. Young, S. N. Ireland, M. C. Melendez-Cervates, and R. Stones, “On the systematic error associated with the measurement of temperature using acoustic pyrometry in combustion products of unknown mixture,” Measurement Science and Technology, vol. 9, no. 1, pp. 1–5, 1998. View at Publisher · View at Google Scholar · View at Scopus
  7. X. Xiao and I. K. Puri, “Digital recording and numerical reconstruction of holograms: an optical diagnostic for combustion,” Applied Optics, vol. 41, no. 19, pp. 3890–3899, 2002. View at Publisher · View at Google Scholar · View at Scopus
  8. T. H. Gan and D. A. Hutchins, “Air-coupled ultrasonic tomographic imaging of high-temperature flames,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 50, no. 9, pp. 1214–1218, 2003. View at Publisher · View at Google Scholar · View at Scopus
  9. T. Yokomori, S. Mochida, T. Araake, and K. Maruta, “Electrostatic probe measurement in an industrial furnace for high-temperature air conditions,” Combustion and Flame, vol. 150, no. 4, pp. 369–379, 2007. View at Publisher · View at Google Scholar · View at Scopus
  10. J. Lu, K. Wakai, S. Takahashi, and S. Shimizu, “Acoustic computer tomographic pyrometry for two-dimensional measurement of taking into account the effect of refraction of sound wave paths,” Measurement Science and Technology, vol. 11, no. 6, pp. 692–697, 2000. View at Publisher · View at Google Scholar · View at Scopus
  11. A. Kosugi, I. Ihara, and I. Matsuya, “Accuracy evaluation of surface temperature profiling by a laser ultrasonic method,” Japanese Journal of Applied Physics, vol. 51, no. 7, Article ID 07GB01, 2012. View at Publisher · View at Google Scholar · View at Scopus
  12. H. Yamada, A. Kosugi, and I. Ihara, “Noncontact monitoring of surface temperature distribution by laser ultrasound scanning,” Japanese Journal of Applied Physics, vol. 50, no. 7, Article ID 07HC06, 2011. View at Publisher · View at Google Scholar · View at Scopus
  13. T. Durka, G. D. Stefanidis, T. van Gerven, and A. Stankiewicz, “On the accuracy and reproducibility of fiber optic (FO) and infrared (IR) temperature measurements of solid materials in microwave applications,” Measurement Science and Technology, vol. 21, no. 4, Article ID 045108, 2010. View at Publisher · View at Google Scholar · View at Scopus
  14. E. Belotserkovsky, O. Shenfeld, and A. Katzir, “Infrared fiberoptic temperature control of the heating process in a microwave oven,” IEEE Transactions on Microwave Theory and Techniques, vol. 42, no. 5, pp. 901–903, 1994. View at Publisher · View at Google Scholar · View at Scopus
  15. M. Nüchter, B. Ondruschka, W. Bonrath, and A. Gum, “Microwave assisted synthesis—a critical technology overview,” Green Chemistry, vol. 6, no. 3, pp. 128–141, 2004. View at Publisher · View at Google Scholar · View at Scopus
  16. H.-C. Zhou, S.-D. Han, F. Sheng, and C.-G. Zheng, “Visualization of three-dimensional temperature distributions in a large-scale furnace via regularized reconstruction from radiative energy images: numerical studies,” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 72, no. 4, pp. 361–383, 2002. View at Publisher · View at Google Scholar · View at Scopus
  17. L. H. Liu and J. Jiang, “Inverse radiation problem for reconstruction of temperature profile in axisymmetric free flames,” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 70, no. 2, pp. 207–215, 2001. View at Publisher · View at Google Scholar · View at Scopus
  18. F. Ito and M. Sakai, “Fundamental studies of acoustic measurement and reconstruction combustion temperature in large boilers,” Transactions of the Japan Society of Mechanical Engineers, Part B, vol. 53, no. 489, pp. 1610–1614, 1987. View at Google Scholar · View at Scopus
  19. F. Tian, Z. S. Liu, L. Q. Liu, and X. P. Sun, “Simulation research on reconstruction algorithm of complex temperature field based on RBF neural network,” in Proceedings of the 6th International Conference on Intelligent Systems Design and Applications (ISDA '06), vol. 2, pp. 93–97, October 2006. View at Publisher · View at Google Scholar · View at Scopus
  20. K. Srinivasan, T. Sundararajan, S. Narayanan, T. J. S. Jothi, and C. S. L. V. Rohit Sarma, “Acoustic pyrometry in flames,” Measurement, vol. 46, no. 1, pp. 315–323, 2013. View at Publisher · View at Google Scholar · View at Scopus
  21. T. A. Hanson, N. Yilmaz, P. Drozda, W. Gill, T. J. Miller, and A. B. Donaldson, “Acoustic pyrometry using an off-the-shelf range finding system,” Journal of Fire Sciences, vol. 26, no. 4, pp. 287–308, 2008. View at Publisher · View at Google Scholar · View at Scopus
  22. W.-Y. Tsai, H.-C. Chen, and T.-L. Liao, “High accuracy ultrasonic air temperature measurement using multi-frequency continuous wave,” Sensors and Actuators A: Physical, vol. 132, no. 2, pp. 526–532, 2006. View at Publisher · View at Google Scholar · View at Scopus
  23. P. L. Schmidt, D. G. Walker, D. J. Yuhas, and M. M. Mutton, “Thermal measurements using ultrasonic acoustical pyrometry,” Ultrasonics, vol. 54, no. 4, pp. 1029–1036, 2014. View at Publisher · View at Google Scholar · View at Scopus
  24. F. Gao and C. M. Chi, “Numerical solution of nonlinear Burgers' equation using high accuracy multi-quadric quasi-interpolation,” Applied Mathematics and Computation, vol. 229, pp. 414–421, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  25. M. Esmaeilbeigi and M. M. Hosseini, “A dynamic meshless method for the least squares problem with some noisy subdomains,” Applied Mathematical Modelling, vol. 37, no. 5, pp. 3152–3163, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  26. C. Chen and Y. Li, “A robust multiquadric method for digital elevation model construction,” Mathematical Geosciences, vol. 45, no. 3, pp. 297–319, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  27. Y. V. S. S. Sanyasiraju and C. Satyanarayana, “On optimization of the RBF shape parameter in a grid-free local scheme for convection dominated problems over non-uniform centers,” Applied Mathematical Modelling, vol. 37, no. 12-13, pp. 7245–7272, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus