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Analytical solutions to radiative absorption and scattering by the large multilayer concentric-sphere particle
International Communications in Heat and Mass Transfer ( IF 7 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.icheatmasstransfer.2020.104793
Keyong Zhu , Jiang Shao , Shaoling Li , Yong Huang

Abstract This study develops the ray-tracing method based on geometric optics approximation to quantify analytically radiative absorption and scattering by the large multilayer concentric-sphere particle with specular or diffuse interfaces. Analytical expressions of the absorptance and scattering albedo of the multilayer particle are presented and the contribution of each layer to the total absorption of the multilayer particle is analytically provided as well. These analytical results are validated by the Monte Carlo method and Lorenz-Mie theory. The absorptance of the multilayer particle with either specular or diffuse interfaces increases with increasing size parameter. The contribution of each layer to the total absorption of the multilayer particle depends on the model of interfaces (specular or diffuse) and varies slightly with increasing size parameter. Moreover, refractive index of each layer has slight effects on the absorptance for specular interfaces, while it increases the later for diffuse interfaces. The absorptance increases with increasing absorption index of each layer, especially with increasing absorption index of the layer with larger volume fraction.

中文翻译:

大型多层同心球粒子辐射吸收和散射的解析解

摘要 本研究开发了基于几何光学近似的光线追踪方法,以量化具有镜面反射或漫反射界面的大型多层同心球粒子的分析辐射吸收和散射。给出了多层粒子的吸收率和散射反照率的解析表达式,并分析提供了每层对多层粒子总吸收的贡献。这些分析结果得到了蒙特卡罗方法和洛伦兹-米理论的验证。具有镜面反射或漫反射界面的多层粒子的吸收率随着尺寸参数的增加而增加。每层对多层粒子总吸收的贡献取决于界面模型(镜面反射或漫反射),并且随着尺寸参数的增加而略有不同。此外,每一层的折射率对镜面反射界面的吸收率有轻微影响,而对于漫反射界面则增加吸收率。吸收率随着每层吸收指数的增加而增加,特别是随着具有较大体积分数的层的吸收指数增加。
更新日期:2020-10-01
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