稳态导热中的非傅立叶效应

基于热质与热质势的概念,研究了稳态条件下的导热规律.结果表明:热量在输运过程中受到来自热质势场的驱动力以及来自介质的阻力,当两者平衡时,热量的输运规律满足傅立叶导热定律;当惯性力不能被忽略从而两者不平衡时,热量将被加速,热流密度和温度梯度之间的线性关系不再成立,表现出明显的非傅立叶效应.用数值模拟定量地研究了非傅立叶效应对稳态导热过程的影响.

NON-FOURIER EFFECT IN THE STEADY STATE HEAT CONDUCTION

Base on the conceptions of thermal mass and the thermal mass potential,the heat flux law for steady state heat conduction has been reexamined.The results show that there are two forces exerted on the thermal mass.One is the driving force which comes from the potential field of the thermal mass,and the other is the resistance emanating from the interior of the medium.When they are in balance,the heat flux density can be well described by Fourier law.However,if they are not in equilibrium due to not negligible inertial force,the relationship between the heat flux density and the temperature gradient becomes nonlinear and non-Fourier effect will occur.Numerical simulations have been carried out to demonstrate quantitatively the influence of non-Fourier behavior on the steady state heat conduction.