Analytical Solutions for Fourier and Non-Fourier Heat Conduction in Thermal Barrier Coating of Efficient Engine

摘要

In the present work, the Fourier, the C-V and the dual-phase-lags (DPL) heat conduction models are applied to study heat transfer in thermal barrier coatings (TBC) of a four-stroke cycle efficient diesel engine. An expanded separation of variables method is used to solve the heat conduction equations of the three models. Two typical cases ((a). the TBC subjected to a thermal shock. (b). the TBC subjected to continuous but unstable heating) are investigated. Wave phenomena in thermal propagation process were found in the C-V model and the DPL model. Several parameters effect on thermal wave speed is discussed. It is found that the working process of efficient diesel engine creates a temperature fluctuation at bottom of TBC. Several parameters effect on fluctuation range is discussed. The analytical method can be used for solving general heat transfer problems with transient boundary conditions.

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