| 基于斐波那契数积分计算非等径颗粒视角系数 |
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| 引用本文： | 包涛,高若晗,谭援强. 基于斐波那契数积分计算非等径颗粒视角系数[J]. 计算力学学报, 2022, 39(3): 389-396 |
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| 作者姓名： | 包涛 高若晗 谭援强 |
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| 作者单位： | 华侨大学 制造工程研究院, 厦门 361021;脆性材料产品智能制造技术国家地方联合工程研究中心, 厦门 361021 |
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| 基金项目： | 国家自然科学基金(11772135);福建省引导性项目(2019H0018)资助项目. |
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| 摘 要： | 热辐射是颗粒间热量传递的基本方式之一，视角系数计算的效率和精度是颗粒热辐射数值模拟中的主要难点。本文采用斐波那契数列对非等径颗粒表面进行离散，在此基础上计算视角系数，并且对z方向的积分使用非均匀变换以提高计算精度。结果表明，在具有不同球体数的粉末床中，用该方法计算的视角系数的相对误差为5%，与传统的蒙特卡洛方法相比，计算效率提升约30%。
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| 关 键 词： | 非等径颗粒 视角系数 斐波那契数列 非均匀变换 |
| 收稿时间： | 2022-02-24 |
| 修稿时间： | 2022-04-12 |
Fibonacci integration for evaluating view factors coefficient of non-equal-diameter particles |
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| BAO Tao,GAO Ruo-han,TAN Yuan-qiang. Fibonacci integration for evaluating view factors coefficient of non-equal-diameter particles[J]. Chinese Journal of Computational Mechanics, 2022, 39(3): 389-396 |
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| Authors: | BAO Tao GAO Ruo-han TAN Yuan-qiang |
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| Affiliation: | Institute of Manufacturing Engineering, Huaqiao University, Xiamen 361021, China;National & Local Joint Engineering Research Center for Intelligent Manufacturing Technology of Brittle Material Products, Xiamen 361021, China |
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| Abstract: | Thermal radiation is one of the basic forms of heat transfer between particles.Computing efficiency and accuracy are the difficulties to calculate the view factors when simulating thermal radiation.In this paper,the Fibonacci number is used to discretize the surface of non-equal-diameter particles,and the view factors are calculated based on it.Subsequently,the non-uniform transformation in the Z direction is adopted to improve computational accuracy.It is indicated that a relative error of 5% for the view factor in a packed bed containing different numbers of spheres calculated is obtained by the proposed method.Compared with the traditional Monte Carlo method,the computational efficiency is improved by about 30%. |
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| Keywords: | non-equal-diameter particles view factors fibonacci number non-uniform transformation |
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