论文标题
使用更新理论的多孔介质的辐射特性的精确推导
Precise Derivations of Radiative Properties of Porous Media Using Renewal Theory
论文作者
论文摘要
这项工作使用了更新/毁灭的数学机制（剩余风险）理论来得出稀释和分散多孔介质的辐射特性的初步明确估计，否则只能使用蒙特卡洛射线跟踪（MCRT）模拟精确计算。尽管随机行走和征收过程已被广泛用于建模各种传输问题和多孔介质建模中的扩散过程，但与辐射传热相关，与其他问题（例如探针扩散和渗透性建模）相反。此外，封闭形式导致导致MCRT的切实差异的降低被广泛缺失。盈余风险理论的特定角度提供了一种更丰富的设备，可以导致直接相关的数量。据作者所知，当前的工作是将盈余风险理论推导与射线追踪的明确计算结果中的唯一工作。该论文包含使用提取的机械以及使用MCRT的证明和数值验证的辐射传热估算的数学推导。
This work uses the mathematical machinery of Renewal/Ruin (surplus risk) theory to derive preliminary explicit estimations for the radiative properties of dilute and disperse porous media otherwise only computable accurately with Monte Carlo Ray Tracing (MCRT) simulations. Although random walk and Levy processes have been extensively used for modeling diffuse processes in various transport problems and porous media modeling, relevance to radiation heat transfer is scarce, as opposed to other problems such as probe diffusion and permeability modeling. Furthermore, closed form derivations that lead to tangible variance reduction in MCRT are widely missing. The particular angle of surplus risk theory provides a richer apparatus to derive directly related quantities. To the best of the authors' knowledge, the current work is the only work relating the surplus risk theory derivations to explicit computations of ray tracing results in porous media. The paper contains mathematical derivations of the radiation heat transfer estimates using the extracted machinery along with proofs and numerical validation using MCRT.
