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Modeling of Thermal Distributions around a Barrier at the Interface of Coating and Substrate

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  • Ali Sahin

Abstract

Due to constant heat flux, the thermal distribution around an insulated barrier at the interface of substrate and functionally graded material (FGM) which are essentially two-phase particulate composites is examined in such a way that the volume fractions of the constituents vary continuously in the thickness direction. Using integral transform method, two-dimensional steady-state diffusion equation with variable conductivity is turned into constant coefficient differential equation. Reducing that equation to a singular integral equation with Cauchy type, the temperature distribution around the barrier is obtained by defining an unknown function, which is called density function, as a series expansion of orthogonal polynomials. Results are shown for different thickness and nonhomogeneity parameters of FGM.

Suggested Citation

  • Ali Sahin, 2013. "Modeling of Thermal Distributions around a Barrier at the Interface of Coating and Substrate," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, September.
    • Handle: RePEc:hin:jnlaaa:968464
    DOI: 10.1155/2013/968464
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