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首页> 外文期刊>International journal of nonlinear sciences and numerical simulation >Numerical Simulation on Radiative Heat Transfer through a Two-dimensional Rectangular Domain with Inhomogeneous, Absorbing and Isotropic/Anisotropic Scattering Media Exposed to Collimated Irradiation
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Numerical Simulation on Radiative Heat Transfer through a Two-dimensional Rectangular Domain with Inhomogeneous, Absorbing and Isotropic/Anisotropic Scattering Media Exposed to Collimated Irradiation

机译：非均质，吸收性和各向同性/各向异性散射介质在二维辐射作用下二维矩形区域内辐射传热的数值模拟

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摘要

Because the radiative intensity carries more directional information than radiative flux from the probed medium, the highly directional boundary intensity information is more useful for some inverse radiative transfer problems, such as reconstruction of multi-dimensional distributions of temperature and radiative property. The DRESOR method was proposed to solve the Radiative Transfer Equation (RTE) in a two-dimensional inhomogeneous rectangular domain filled with isotropic/anisotropic scattering media and exposed to collimated irradiation. The radiative fluxes obtained by the DRESOR method agreed well with those in literatures and by the Monte Carlo method, showing good reliability of the DRESOR method. It was found that the directional radiative intensity obtained by the Monte Carlo method is oscillating significantly and not accurate, regardless of large number of energy bundles have been used, even though the radiative flux is precise enough to be used as a benchmark solution. Meanwhile, much more smooth radiative intensity in 6 658 directions of the hemispheric solid angle can be obtained by the DRESOR method without much more excessive cost, demonstrating the distinguished feature of the DRESOR method. The effects of anisotropic scattering, scattering albedo and optical thickness on the boundary radiative intensity and radiative flux were investigated by the DRESOR method. It was found that there are obviously different influences on the radiative intensity and radiative flux by these parameters. In the anisotropic scattering media, the radiative intensity changes significantly among different anisotropic scattering phase functions, even the scattering albedo is the same. The forward scattering will make much more energy pass through the medium, while the backward scattering will interfere with the transmittance of energy. The boundary radiative intensity does not monotonously increase with the increase of optical thickness, but increases at first and then decreases.
机译：由于辐射强度比被探测介质的辐射通量携带更多的方向信息，因此高度方向性的边界强度信息对于某些逆辐射传递问题（例如重构温度和辐射特性的多维分布）更有用。提出了DRESOR方法来解决在充满各向同性/各向异性散射介质并暴露于准直辐射的二维不均匀矩形域中的辐射传递方程（RTE）。 DRESOR方法获得的辐射通量与文献和蒙特卡罗方法获得的辐射通量非常吻合，显示了DRESOR方法的良好可靠性。已经发现，即使已经使用了足够多的能量束，通过蒙特卡洛方法获得的定向辐射强度仍显着振荡且不准确，即使辐射通量足够精确，可以用作基准解决方案。同时，通过DRESOR方法可以在半球立体角的6 658个方向上获得更加平滑的辐射强度，而不会花费更多的额外成本，这证明了DRESOR方法的显着特征。用DRESOR方法研究了各向异性散射，散射反照率和光学厚度对边界辐射强度和辐射通量的影响。发现这些参数对辐射强度和辐射通量的影响明显不同。在各向异性散射介质中，即使散射反射率相同，辐射强度在不同的各向异性散射相位函数之间也会发生显着变化。前向散射将使更多的能量通过介质，而后向散射将干扰能量的传输。边界辐射强度不是随光学厚度的增加而单调增加，而是先增加然后减小。

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