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Advances in Mathematical Physics
Volume 2017 (2017), Article ID 9139135, 11 pages
https://doi.org/10.1155/2017/9139135
Research Article

An Iterative Method for Solving of Coupled Equations for Conductive-Radiative Heat Transfer in Dielectric Layers

Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Academy of Sciences of Ukraine, 3-b Naukova Str., Lviv 79060, Ukraine

Correspondence should be addressed to Vasyl Chekurin; moc.liamg@nirukehc.v

Received 17 March 2017; Revised 31 May 2017; Accepted 6 June 2017; Published 16 August 2017

Academic Editor: Mariano Torrisi

Copyright © 2017 Vasyl Chekurin and Yurij Boychuk. 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. M. N. Ozisik, Radiative Transfer and Interactions with Conduction And Convection, Wiley, New York, NY, USA, 1973.
  2. A. Bejan and A. D. Kraus, Heat Transfer Handbook, John Wiley & Sons, New York, NY, USA, 2003.
  3. W. M. Rohsenow, Handbook of Heat Transfer, McGraw-Hill, New York, NY, USA, 3rd edition, 1998.
  4. C. E. Siewert, J. R. Maiorino, and M. N. Ozisik, “The use of the FN method for radiative transfer problems with reflective boundary conditions,” Journal of Quantitative Spectroscopy & Radiative Transfer, vol. 23, pp. 545–573, 1980. View at Google Scholar
  5. M. P. Mengüç and R. K. Iyer, “Modeling of radiative transfer using multiple spherical harmonics approximations,” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 39, no. 6, pp. 445–461, 1988. View at Publisher · View at Google Scholar · View at Scopus
  6. T. Heping, B. Maestre, and M. Lallemand, “Transient and steady-state combined heat transfer in semi-transparent materials subjected to a pulse or a step irradiation,” Journal of Heat Transfer, vol. 113, no. 1, pp. 166–173, 1991. View at Publisher · View at Google Scholar · View at Scopus
  7. L. H. Liu and H. P. Tan, “Non-fourier effects on transient coupled radiative-conductive heat transfer in one-dimensional semitransparent medium subjected to a periodic irradiation,” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 71, no. 1, pp. 11–24, 2001. View at Publisher · View at Google Scholar · View at Scopus
  8. L. H. Liu, H. P. Tan, and T. W. Tong, “Non-Fourier effects on transient temperature response in semitransparent medium caused by laser pulse,” International Journal of Heat and Mass Transfer, vol. 44, no. 17, pp. 3335–3344, 2001. View at Publisher · View at Google Scholar · View at Scopus
  9. L. H. Liu and H. P. Tan, “Transient temperature response in semitransparent variable refractive index medium subjected to a pulse irradiation,” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 83, no. 3-4, pp. 333–344, 2004. View at Publisher · View at Google Scholar · View at Scopus
  10. A. H. Nayfeh, Problems in Perturbation, John Wiley & Sons, New York, NY, USA, 1985. View at MathSciNet
  11. C. Huang and Y. Zhang, “Calculation of high-temperature insulation parameters and heat transfer behaviors of multilayer insulation by inverse problems method,” Chinese Journal of Aeronautics, vol. 27, no. 4, pp. 791–796, 2014. View at Publisher · View at Google Scholar · View at Scopus
  12. K. Daryabeigi, G. R. Cunnington, and J. R. Knutson, “Combined heat transfer in high-porosity high-temperature fibrous insulation: theory and experimental validation,” Journal of Thermophysics and Heat Transfer, vol. 25, no. 4, pp. 536–546, 2011. View at Publisher · View at Google Scholar · View at Scopus
  13. M. Maerefat and A. Esmaili, “Analysis of combined conduction- radiation heat transfer in multilayer insulations,” Amirkabir University of Technology, vol. 46, no. 1, pp. 17–19, 2014. View at Google Scholar
  14. R. Usamentiaga, P. Venegas, J. Guerediaga, L. Vega, J. Molleda, and F. G. Bulnes, “Infrared thermography for temperature measurement and non-destructive testing,” Sensors, vol. 14, no. 7, pp. 12305–12348, 2014. View at Publisher · View at Google Scholar · View at Scopus
  15. A. C. Murariu, A. V. Bîrdeanu, R. Cojocaru et al., “Application of Thermography in Materials Science and Engineering,” in Infrared Thermography, pp. 27–52, InTech, 2012. View at Publisher · View at Google Scholar