【摘要】 讨论了通用傅里叶导热定律的数学模型 ,推导了半无限大物体在第一类边界条件下的基于非傅里叶导热定律的双曲线型偏微分方程的解析解。通过分析非傅里叶导热定律在瞬态条件下温度分布的变化过程 ,提出了非傅里叶导热效应的瞬态判据以及非傅里叶导热的作用范围 ,对研究工程中瞬态导热问题 (如激光处理 ,电子束处理等 )有重要意义更多还原

【Abstract】 The mathematical model of general Fourier heat conduction law is discussed in the paper.Based on the hyperbolic heat conduction equation of non Fourier heat conduction law,an analytical solution of a semi infinite body has been derived under the first boundary condition.With the temperature distribution analyzed,the transient criterion and the applicable scope of non Fourier heat conduction law has been proposed,which is important for the study on special area of transient heat conduction problem in engineering,such as laser process and electron beams process.更多还原