Abstract View factor calculation is one of the most important aspects in radiation heat transfer. The aim of this work is to derive view factor expression for the interchange of radiant energy between two rectangular surfaces parallel in x-axes with no-common edge, in the 3-D space. It is possible now to evaluate the thermal effect of neighbouring objects (such as mountains, rivers, etc…) on the building facades. Also, the considered geometry is analogues to all types of PV solar fields. The present study includes the mathematical derivations of the view factor components, at the last, a quadruple-integral has been formed. The MatLab software was not able to evaluate the performed integral, for this reason, a comprehensive FORTRAN program is created for evaluating the integral by means of the Simpson's 1/3 rule and then evaluating the view factor for several arrangements of the considered geometry. The obtained results - of certain arrangements - were compared with the already mentioned in Howell's catalog and other related references, the results were fairly identical, therefore, we have strongly advised the proposed algorithm and program for evaluating the view factor for the prescribed geometry. The scientific value of the research was outlined by analysing the view factor of the PV solar station in Jericho-State of Palestine. The results show asymmetrical view factors over the rows of the PV solar field, thereby, the solar radiation is nonhomogeneous.

中文翻译：

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具有非公共边的两个矩形表面的几种排列的视角因子的解析数值计算

摘要 视角系数计算是辐射传热中最重要的方面之一。这项工作的目的是推导出 3-D 空间中两个平行于 x 轴且无公共边的矩形表面之间的辐射能交换的视角因子表达式。现在可以评估邻近物体（例如山脉、河流等）对建筑立面的热效应。此外，所考虑的几何形状类似于所有类型的光伏太阳能场。本研究包括视角因子分量的数学推导，最后形成了四重积分。MatLab 软件无法评估执行的积分，因此，创建了一个综合的 FORTRAN 程序，用于通过 Simpson' 评估积分 s 1/3 规则，然后评估所考虑几何图形的几种排列的视角系数。获得的结果 - 某些安排 - 与 Howell 的目录和其他相关参考文献中已经提到的结果进行了比较，结果相当相同，因此，我们强烈建议使用所提出的算法和程序来评估规定几何的视角因子。通过分析巴勒斯坦杰里科光伏电站的视角系数，概述了该研究的科学价值。结果显示 PV 太阳能场的行上的视角因数不对称，因此，太阳辐射是不均匀的。s 目录和其他相关参考资料，结果相当相同，因此，我们强烈建议用于评估指定几何图形的视角因子的算法和程序。通过分析巴勒斯坦杰里科光伏电站的视角因素，概述了该研究的科学价值。结果显示 PV 太阳能场的行上的视角因数不对称，因此，太阳辐射是不均匀的。s 目录和其他相关参考资料，结果相当相同，因此，我们强烈建议提出的算法和程序来评估规定几何的视角因子。通过分析巴勒斯坦杰里科光伏电站的视角系数，概述了该研究的科学价值。结果显示 PV 太阳能场的行上的视角因数不对称，因此，太阳辐射是不均匀的。