Study on Numerical Prediction Method of Radiation Exchange under Arbitrary Complicated Geometry with Fine Mesh

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  • 複雑な内部形状を有する大規模メッシュ対応型放射伝熱計算手法に関する研究
  • フクザツ ナ ナイブ ケイジョウ オ ユウスル ダイキボ メッシュ タイオウガ

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Abstract

In this paper, we will propose numerical prediction method for evaluating surface to surface radiation which can be applied for a three dimensional arbitrary complicated geometry over ten thousands divided surface elements in reasonable computation time and storage. As for fast calculation of view factors between surface elements, we propose next two methods; (1) searching visibility of many surface elements successively instead of each one as precalculation, (2) setting optimize number of integrating point on surface elements by non-dimensional parameter related positions and shapes of two surface elements automatically as numerical integration. View factors calculated in this process are also well-stored to reduce computational storage. As for stable and fast calculation of heat balance equations associated with thermal radiation, convection, solar radiation absorbed and wall conduction in each wall and heat balance equation in whole space including the effect of air-conditioning and ventilation, iterative method such as successive under relaxation is adopted, which is naturally considered multiple reflection of radiation. We applied this method to model room including obstructed surfaces with thermal radiation panel which has normal glass or low-emissive pair glass as windows. Surface temperature distribution, heat balance on each wall, vector radiant temperature and mean radiant temperature for thermal comfort indices are predicted to demonstrate the performance of this method in each case. The validity is confirmed by the results compared with other prediction method.

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