多维辐射-导热耦合传热问题有广泛的应用背景。本文采用有限元法对辐射传递方程的离散坐标形式进行离散,并采用有限元法求解瞬态辐射-导热耦合能量方程,研究二维方腔半透明参与性梯度折射率介质内瞬态耦合传热,考虑第一类热边界条件,分析了折射率分布、衰减系数、散射反照率及散射相函数对对瞬态耦合传热的影响。结果表明,梯度折射率对瞬态耦合传热影响显著。
Multi-dimensional coupled radiative-conductive heat transfer has extensive application. This paper uses finite element method to discretize the discrete ordinate form of radiative transfer equation and solve transient coupled radiative-conductive energy equation,and studies transient coupled heat transfer in a 2-D square enclosure filled with semitransparent participating graded index medium.Under the first thermal boundary condition,we analyze effects of refractive index,extinction coefficient and scattering albedo on transient coupled heat transfer.Results show that graded index has a significant effect on the transient coupled heat transfer.