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本文用射线踪迹-节点分析法研究了二维黑体表面矩形、各向同性散射半透明介质内辐射与导热瞬态耦合换热。采用全隐格式的有限差分法离散二维瞬态微分能量方程,用辐射传递系数来表示辐射源项,结合谱带模型并采用射线踪迹法求解辐射传递系数。采用Patankar线性化方法将辐射源项及不透明边界条件线性化,并采用附加源项法处理边界条件,运用ADI方法求解名以上的线性化方程组,从而解得二维矩形介质内的瞬态温度分布。
In this paper, the radiative coupling and heat transfer in two-dimensional blackbody surface rectangular and isotropic scattering translucent medium are studied by means of ray trace-node analysis. The two-dimensional transient differential energy equation is discretized by the finite difference method of all implicit schemes, the radiation source term is expressed by the radiation transfer coefficient, and the radiation transfer coefficient is solved by using the ray trace method combined with the spectral band model. Patankar linearization method is used to linearize the radiation source terms and opaque boundary conditions, and the additional source term method is used to deal with the boundary conditions. The ADI method is used to solve the above linearized equations to solve the transient temperature in the two-dimensional rectangular medium distributed.