A two-dimensional heat transfer model for thermal barrier coating average thermal conductivity computation

Numerical Heat Transfer; Part A: Applications

Volumn 47, Issue 9, 2005, Pages 875-898

  Bolot, Rodolphe ^a   Antou, Guy ^a   Montavon, Ghislain ^a   Coddet, Christian ^a  

^a UNIVERSITÉ DE TECHNOLOGIE DE BELFORT MONTBÉLIARD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COATING TECHNIQUES; COMBUSTION CHAMBERS; FINITE DIFFERENCE METHOD; HEAT CONDUCTION; MATHEMATICAL MODELS; METALS; OXIDATION; SOLIDIFICATION; THERMAL BARRIER COATINGS; THERMAL CONDUCTIVITY;

THERMAL DIFFUSIVITY; THERMAL FLUX; THERMAL SHOCKS; THERMAL STRESSES;

HEAT TRANSFER;

EID: 18844410235     PISSN: 10407782     EISSN: None     Source Type: Journal    
DOI: 10.1080/10407780590921953     Document Type: Article

References (35)

1. A. Kulkarni, Z. Wang, T. Nakamura, S. Sampath, A. Goland, H. Herman, J. Allen, J. Ilavsky, G. Long, J. Frahm, and R.W. Steinbrech, Comprehensive Microstructural Characterization and Predictive Property Modeling of Plasma-Sprayed Zirconia Coatings, Acta Mater., vol. 51, pp. 2457-2475, 2003.
2. P. Roy, G. Bertrand, and C. Coddet, Influence of Spraying Variables and of a New Zirconia Hollow Powder on the Microstructure of Plasma Sprayed Thermal Barrier Coating, in B. R. Marple and C. Moreau (eds.), Thermal Spray 2003: Advancing the Science & Applying the Technology, pp. 1617-1622, ASM, Materials Park, OH, 2003.
3. W. J. Parker, R. J. Jenkins, C. P. Butler, and G. L. Abbott, Flash Method of Determining Thermal Diffusivity, Heat Capacity, and Thermal Conductivity, J. Appl. Phys., vol. 32, no. 9, pp. 1679-1684, 1961.
4. H. Wang and R. B. Dinwiddie, Reliability of Laser Flash Thermal Diffusivity Measurements of the Thermal Barrier Coatings, J. Thermal Spray Technol., vol. 9, no. 2, pp. 210-214, 2000.
5. P. G. Klemens, Thermal Conductivity of Inhomogeneous Media, High Temp. High Press., vol. 23, no. 3, pp. 241-248, 1991.
6. K. W. Schlichting, N. P. Padture, and P. G. Klemens, Thermal Conductivity of Dense and Porous Yttria-Stabilized Zirconia, J. of Mater. Sci., vol. 36, pp. 3003-3010, 2001.
7. J. Wu, N. P. Padture, P. G. Klemens, M. Gell, E. Garcia, P. Miranzo, and M. I. Osendi, Thermal Conductivity of Ceramics in the ZrO2-GdO1.5 System, J. Mater. Res., vol. 17, no. 12, pp. 3193-3200, 2002.
8. S. Raghavan, H. Wang, R. B. Dinwiddie, W. D. Porter, and M. J. Mayo, The Effect of Grain Size, Porosity and Yttria Content on the Thermal Conductivity of Nanocrystalline Zirconia, Scripta Mater., vol. 39, no. 8, pp. 1119-1125, 1998.
9. R. Dutton, R. Wheeler, K. S. Ravichandran, and K. An, Effect of Heat Treatment on the Thermal Conductivity of Plasma-Sprayed Thermal Barrier Coatings, J. Thermal Spray Technol., vol. 9, no. 2, pp. 204-209, 2000.
10. D. P. H. Hasselman, Effect of Cracks on Thermal Conductivity, J. Comp. Mater., vol. 12, no. 10, pp. 403-407, 1978.
11. K. Bakker, Using the Finite Element Method to Compute the Influence of Complex Porosity and Inclusion Structures on the Thermal and Electrical Conductivity, Int. J. Heat Mass Transfer, vol. 40, no. 15, pp. 3503-3511, 1997.
12. K. J. Hollis, Pore Phase Mapping and Finite-Element Modeling of Plasma Sprayed Tungsten Coatings, in C. C. Berndt and S. Sampath (eds.), Thermal Spray Science & Technology, pp. 403-408, ASM, Materials Park, OH, 1995.
13. J. M. Dorvaux, O. Lavigne, R. Mévrel, M. Poulain, Y. Renollet, and C. Rio, Modelling the Thermal Conductivity of Thermal Barrier Coatings, Proc. 85th AGARD SMP Meeting on Thermal Barrier Coatings, Aalborg, Denmark, 1997.
14. G. Antou, R. Bolot, G. Montavon, C. Coddet, F. Hlawka, and A. Cornet, Prediction of Thermal Spray Coating Thermal Conductivity by 2D Heat Transfer Modelling, Int. Thermal Spray Conf., Osaka, May 2004.
15. S. V. Patankar, Numerical Heat Transfer and Fluid Flow, pp. 44-45, Hemisphere, New York, 1980.
16. N. Padture and P. G. Klemens, Low Thermal Conductivity in Garmets, J. Am. Ceram. Soc., vol. 80, no. 4, pp. 1018-1020, 1997.
17. P. G. Klemens and M. Gell, Thermal Conductivity of Thermal Barrier Coatings, Mater. Sci. and Eng. A, vol. 245, pp. 143-149, 1998.
18. P. G. Klemens, Phonon Scattering by Oxygen Vacancies in Ceramics, Physica B, vol. 263-264, pp. 102-104, 1999.
19. S. Raghavan, H. Wang, W. D. Porter, R. B. Dinwiddie, and M. J. Mayo, Thermal Properties of Zirconia Co-doped with Trivalent and Pentavalent Oxides, Acta Mater., vol. 49, pp. 169-179, 2001.
20. M. Roufosse and P. G. Klemens, Lattice Thermal Conductivity of Minerals at High Temperatures, J. Geophys. Res., vol. 79, no. 5, pp. 703-705, 1974.
21. 2-x/2 (x = 0., 0.084 and 0.179) Single Crystals, J. Eur. Ceram. Soc., vol. 24, pp. 3081-3089, 2004.
22. J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids, 4th ed., p. 549, Wiley, New York, 1967.
23. R. McPherson, A Model for the Thermal Conductivity of Plasma-Sprayed Ceramic Coatings, Thin Solid Films, vol. 112, pp. 89-95, 1984.
24. A. Mogro-Campero, C. A. Johnson, P. J. Bednarczyk, R. B. Dinwiddie, and H. Wang, Effect of Gas Pressure on Thermal Conductivity of Zirconia Thermal Barrier Coatings, Surface Coatings Technol., vol. 94-95, pp. 102-105, 1997.
25. I. O. Golosnoy, S. A. Tsipas, and T. W. Clyne, An Analytical Model for Simulation of Heat Flow in Plasma Sprayed Thermal Barrier Coatings, J. Thermal Spray Technol., in press.
26. G. E. Forsythe and W. R. Wasow, Finite-Difference Methods for Partial Differential Equations, Wiley, New York, 1960.
27. A. R. Mitchell and D. F. Griffiths, The Finite Difference Method in Partial Differential Equations, Wiley, New York, 1980.
28. J. P. Nougier, Méthodes de calcul numérique, vol. 1, Systèmes d'équations, Hermès, Paris, 2001.
29. G. Engeln-Müllges and F. Uhlig, Numerical Algorithms with Fortran, Berlin, Springer-Verlag, 1996.
30. S. Karaa and J. Zhang, A Note on Convergence of Line Iterative Methods for a Nine-Point Matrix, Appl. Math. Lett., vol. 15, pp. 495-503, 2002.
31. I. Faragó and P. Tarvainen, Qualitative Analysis of Matrix Splitting Methods, Comput. and Math. with Appl., vol. 42, pp. 1055-1067, 2001.
32. V. Thomée, From Finite Differences to Finite Elements: A Short History of Numerical Analysis of Partial Differential Equations, J. Computat. Appl. Math., vol. 128, pp. 1-54, 2001.
33. D. A. Anderson, J. C. Tannehill, and R. H. Pletcher, Computational Fluid Mechanics and Heat Transfer, pp. 132-135, Hemisphere, New York, 1984.
34. P. J. Roache, Computational Fluid Dynamic, rev. ed., pp. 117-123, Hermosa, Albuquerque, NM, 1982.
35. T. Y. Wang and C. C. P. Chen, Thermal-ADI - A Linear-Time Chip-Level Dynamic Thermal-Simulation Algorithm Based on Alternating-Direction-Implicit (ADI) Method, IEEE Trans. on Very Large Scale Integration (VLSI) Syst., vol. 11, no. 4, pp. 691-700, 2003.