材料工程2025，Vol.53Issue(9)：39-49,11.DOI:10.11868/j.issn.1001-4381.2025.000236
超常热加工过程中热传导理论的演化与应用:从傅里叶导热模型到非傅里叶导热模型
Evolution and application of heat transfer theory in supernormal hot working processes:from Fourier heat conduction model to non-Fourier heat conduction model
摘要
Abstract
This paper focuses on the theoretical innovation from Fourier heat conduction to non-Fourier heat conduction and its key application in the field of extreme heat transfer.Firstly,this paper describes the classical theory of Fourier heat conduction law and its applicability in conventional heat transfer scenarios,and reveals its limitations in analyzing energy transfer under ultra-fast,ultra-short-range,and ultra-low temperature conditions.Then the non-Fourier heat conduction theory is deeply discussed,and the Cattaneo-Vernotte equation and the dual-phase lag(DPL)model are introduced.By introducing the lagging effects of heat flux relaxation time and temperature gradient relaxation time,the theoretical boundary of the traditional Fourier heat conduction model is broken.Fourier boundary conditions should be adopted in Fourier heat transfer governing equations,while non-Fourier boundary conditions should be adopted in non-Fourier heat transfer governing equations.In this paper,the mathematical expressions of three kinds of non-Fourier boundary conditions are given for the first time in supernormal hot working processes.By comparing the numerical simulation results of Fourier heat conduction model and non-Fourier heat conduction model with the experimental test results,it is found that non-Fourier model has obvious advantages in predicting the transient response of temperature field,the size of heat affected zone(HAZ)and the optimization of laser process parameters,which verifies the accurate prediction ability of non-Fourier model for extreme heat transfer conditions and provides important theoretical support for revealing the heat transfer mechanism of high-end equipment and extreme working conditions.关键词
傅里叶导热定律/非傅里叶导热理论/非傅里叶边界条件/热弛豫时间/激光加工Key words
Fourier law of heat conduction/non-Fourier heat conduction theory/non-Fourier boundary conditions/thermal relaxation time/laser processing分类
矿业与冶金引用本文复制引用
赵明,张晓豪,范金峰,史宇洋,姚立爽,武传松..超常热加工过程中热传导理论的演化与应用:从傅里叶导热模型到非傅里叶导热模型[J].材料工程,2025,53(9):39-49,11.基金项目
山东省重点研发计划(重大科技创新工程)项目(2021ZLGX01) （重大科技创新工程）
