- 期刊
Analytical Solutions for Fourier and Non-Fourier Heat Conduction in Thermal Barrier Coating of Efficient Engine
高效引擎熱障塗層傅裡葉和非傅裡葉熱傳導的解析解
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.
並列摘要
本文利用傅裡葉模型，C-V模型和雙向滯（DPL）模型研究了熱在某四衝程高效柴油機熱障塗層（TBC）中的傳導過程。採用一種拓展的分離變數法求解了三種模型的解析解。利用求得的解析解研究了兩種典型的情況：a). TBC受到熱衝擊；b). TBC受到持續不穩定加熱。發現在C-V模型和DPL模型中熱傳導具有波動現象。討論了幾個參數對熱波速度的影響。發現在高效柴油機工作工程中熱障塗層底部溫度呈波動狀態。討論了幾個參數對溫度波動範圍的影響。本文的解析方法也可運用與邊界條件不斷變化的普通傳熱問題。