考虑非傅立叶效应的瞬态导热过程的波动响应分析  

Analysis of Wave Response during Transient Heat Conduction with Non-Fourier Effect

作　　者：王宝娥[1] 王彦飞[2] 

机构地区：[1]西藏民族学院教育学院,陕西咸阳712082 [2]西安工程大学机电工程学院,陕西西安710048

出　　处：《数学的实践与认识》2014年第17期158-162,共5页Mathematics in Practice and Theory

基　　金：西藏民族学院青年项目(10myQ18)

摘　　要：瞬态导热分析需要考虑非傅立叶效应.通过对抛物型及双曲型热传导方程,以及耦合热传导方程后的波动方程的数值求解,研究了非傅立叶效应下导热过程中的波动响应.结果表明,双曲型热传导过程具有明显的波动特性,所引起的波动响应前沿值成倍提高,且呈现显著的跃变行为,而波动峰值外的部位围绕着初始值小幅波动.Considering the non-Fourier effect, transient heat conduction was analyzed. With the numerical solution, parabolic and hyperbolic equations were solved and then numerical solution of coupled wave equation was obtained as well. Thus, wave response of heat conduction with non-Fourier was studied. The results shows that the heat conduction of hyperbolic appears wave characteristic obviously, front value of coupled wave improve several times and change abruptly, while the value of other place wave slightly near the initial data.

关 键 词：非傅立叶效应 双曲型方程 波动方程 耦合 

分 类 号：O241.82[理学—计算数学]