Numerical study of dual-phase-lag heat conduction in a thermal barrier coating with a hybrid method

Yu Ching Yang, Wen-Lih Chen, Tzu Sheng Yeh, Win Jin Chang, Haw Long Lee

Research output: Contribution to journalArticle

Abstract

In this study, the dual-phase-lag (DPL) heat conduction model is applied to study the non-Fourier heat transfer in a thermal barrier coating (TBC) structure subjected to heat flux on the exterior of the coating. An efficient numerical scheme involving the hybrid application of the Laplace transform and control volume methods in conjunction with hyperbolic shape functions is used to solve the hyperbolic heat conduction equations in the linearized form of DPL model. The transformed nodal temperatures are inverted to the physical quantities using numerical inversion of the Laplace transform. Parametric studies of properties of the substrate and the coating on the temperature distributions in the TBC are performed. A comparison between the present study and other work in the literature using the thermal wave model is also made. The results also show that the phase lag of heat flux tends to induce thermal waves with sharp wave fronts separating heated and unheated zones in the structure, while the phase lag of temperature gradient results in non-Fourier diffusion-like conduction and smooths the sharp wave fronts by promoting conduction into the medium.

Original languageEnglish
Pages (from-to)287-296
Number of pages10
JournalJournal of the Brazilian Society of Mechanical Sciences and Engineering
Volume38
Issue number1
DOIs
Publication statusPublished - 2016 Jan 1

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Thermal barrier coatings
Heat conduction
Laplace transforms
Heat flux
Coatings
Thermal gradients
Temperature distribution
Heat transfer
Substrates
Temperature
Hot Temperature

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

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abstract = "In this study, the dual-phase-lag (DPL) heat conduction model is applied to study the non-Fourier heat transfer in a thermal barrier coating (TBC) structure subjected to heat flux on the exterior of the coating. An efficient numerical scheme involving the hybrid application of the Laplace transform and control volume methods in conjunction with hyperbolic shape functions is used to solve the hyperbolic heat conduction equations in the linearized form of DPL model. The transformed nodal temperatures are inverted to the physical quantities using numerical inversion of the Laplace transform. Parametric studies of properties of the substrate and the coating on the temperature distributions in the TBC are performed. A comparison between the present study and other work in the literature using the thermal wave model is also made. The results also show that the phase lag of heat flux tends to induce thermal waves with sharp wave fronts separating heated and unheated zones in the structure, while the phase lag of temperature gradient results in non-Fourier diffusion-like conduction and smooths the sharp wave fronts by promoting conduction into the medium.",
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Numerical study of dual-phase-lag heat conduction in a thermal barrier coating with a hybrid method. / Yang, Yu Ching; Chen, Wen-Lih; Yeh, Tzu Sheng; Chang, Win Jin; Lee, Haw Long.

In: Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 38, No. 1, 01.01.2016, p. 287-296.

Research output: Contribution to journalArticle

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