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首页> 外文期刊>International Journal of Heat and Mass Transfer >Prediction Of Radiative Heat Transfer Between Two Concentric Spherical Enclosures With The Finite Volume Method
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Prediction Of Radiative Heat Transfer Between Two Concentric Spherical Enclosures With The Finite Volume Method

机译：有限体积法预测两个同心球面罩之间的辐射传热

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摘要

The radiative heat transfer between two concentric spheres separated by an absorbing, emitting, and isotropically scattering gray medium is investigated by using the finite volume method (FVM). Especially, a mapping that simplifies the solution of spherically symmetric radiative heat transfer problems is introduced, thereby, the intensity depending on spatial one-dimension and angular one-dimension is transformed into spatial two-dimensional one. By adopting this mapping process, angular redistribution, which appears in such curvilinear coordinates as cylindrical or spherical ones, is treated efficiently without any artifice usually introduced in the conventional discrete ordinates method (DOM). After a mathematical formulation and corresponding discretization equation for the radiative transfer equation (RTE) are derived, final discretization equation is introduced by using the directional weight, which is the key parameter in the FVM since it represents the inflow or outflow of radiant energy across the control volume faces depending on its sign. The present approach is then validated by comparing the present results with those of previous works by changing such various parameters as temperature ratio between inner and outer spherical enclosure, wall emissivity, and optical thickness of the participating medium. All the results presented in this work show that the present method is accurate and valuable for the analysis of spherically symmetric radiative heat transfer problems between two concentric spheres.
机译：使用有限体积法（FVM）研究了被吸收，发射和各向同性散射的灰色介质隔开的两个同心球体之间的辐射传热。特别地，引入了简化球对称辐射热传递问题的解决方案的映射，从而将取决于空间一维和角一维的强度转换成空间二维。通过采用这种映射过程，可以有效地处理出现在诸如圆柱坐标或球形坐标之类的曲线坐标中的角度重新分布，而无需在常规离散坐标方法（DOM）中通常引入任何技巧。在推导了辐射传递方程（RTE）的数学公式和相应的离散化方程后，使用方向权重引入了最终的离散化方程，方向权重是FVM中的关键参数，因为它代表了辐射能量在整个方向上的流入或流出。根据其符号控制音量。然后，通过更改当前参数（例如，内部和外部球形外壳之间的温度比，壁发射率和参与介质的光学厚度）等各种参数，将当前结果与以前的工作进行比较，从而验证本方法。这项工作中提出的所有结果表明，该方法对于分析两个同心球之间的球对称辐射传热问题是准确且有价值的。

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