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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 radiative-thermal coupling has a wide range of applications. In this paper, the discrete coordinate form of the radiation transfer equation is discretized by using the finite element method. The transient radiation-thermal coupling energy equation is solved by the finite element method. The transient coupled heat transfer in the two-dimensional square translucent participant gradient index medium is studied. Considering the first kind of thermal boundary conditions, the influence of refractive index distribution, attenuation coefficient, scattering albedo and scattering phase function on transient coupled heat transfer is analyzed. The results show that gradient index has a significant effect on transient coupled heat transfer.