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An analytic expression for radiation view factor between two arbitrarily oriented planar polygons

机译:两个任意定向的平面多边形之间的辐射视因数的解析表达式

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摘要

An analytic expression is derived for the radiation view factor between two arbitrarily oriented planar triangles and, by a simple generalization, planar polygons. Unlike most attempts so far, which use the contour integration technique, Nusselt's unit sphere method is used in this work. Two important features of the analytical expression derived here are that: (1) the use of numerical quadrature is not necessary for the computation, and (2) the symmetry of the expression ensures that reciprocity of view factors is preserved.
机译:通过两个简单定向的平面多边形,可以得出两个任意定向的平面三角形之间的辐射视图因子的解析表达式。到目前为止,与使用轮廓积分技术的大多数尝试不同,本文使用了Nusselt的单位球面方法。此处得出的解析表达式的两个重要特征是:(1)计算中不必使用数字求积,(2)表达式的对称性确保了视图因子的互易性。

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