水平紧密接触品字形三圆管自然对流换热的数值模拟

doi:10.7523/j.issn.2095-6134.2018.05.004

中国科学院大学学报 ›› 2018, Vol. 35 ›› Issue (5): 595-601.DOI: 10.7523/j.issn.2095-6134.2018.05.004

水平紧密接触品字形三圆管自然对流换热的数值模拟

石宏岩, 刘捷, 卢文强

中国科学院大学工程科学学院, 北京 100049

收稿日期:2017-07-20 修回日期:2017-10-20 发布日期:2018-09-15
通讯作者: 刘捷
基金资助:
国家自然科学基金面上项目（51576189）资助

Numerical simulation of laminar natural convection heat transfer from three horizontal attached cylinders

SHI Hongyan, LIU Jie, LU Wenqiang

College of Engineering Science, University of Chinese Academy of Sciences, Beijing 100049, China

Received:2017-07-20 Revised:2017-10-20 Published:2018-09-15

摘要/Abstract

摘要： 采用Bejan提出的新计算模型，模拟计算水平堆积紧密接触品字形三圆管在空气中自然对流的换热过程。在普朗特数Pr=0.707 0，瑞利数10≤Ra≤10⁶的范围内，得到该结构的稳态温度场和流线场、以及局部和平均努赛尔数随Ra变化的结果。在该结构中，两圆管之间相邻部分的空间会形成旋涡；局部努塞尔数Nu_θ的最大值出现在140°附近，且随着Ra的增加而增大。同时，获得该结构的平均努塞尔数Nu随Ra变化的经验公式，进而可直接计算出自然对流换热系数，为工业应用提供参考。

关键词: 自然对流, 瑞利数, 努塞尔数, 数值模拟

Abstract: In this study, by applying the new computational model proposed by Bejan, laminar natural convection heat transfer from three horizontal attached cylinders has been studied numerically over the Rayleigh number range 10 ≤ Ra ≤ 10⁶ and at the Prandtl number Pr=0.707 0. The comprehensive results consisting of streamlines, isothermal contours, and local and average Nusselt numbers are presented with different Rayleigh numbers. The obtained results show that a vortex is formed in the space between the adjacent two cylinders. The maximum local Nusselt number appears near θ=140°, and it increases with the Rayleigh number. Furthermore, this work accurately fits the equation dascribing the variation of average Nusselt number of the three cylinders with Rayleigh number. Hence the heat transfer coefficient of natural convection can be determined, and an accurate reference value is provided for industrial application.

Key words: natural convection, Rayleigh number, Nusselt number, numerical simulation

中图分类号:

TK124

石宏岩, 刘捷, 卢文强. 水平紧密接触品字形三圆管自然对流换热的数值模拟[J]. 中国科学院大学学报, 2018, 35(5): 595-601.

SHI Hongyan, LIU Jie, LU Wenqiang. Numerical simulation of laminar natural convection heat transfer from three horizontal attached cylinders[J]. , 2018, 35(5): 595-601.

参考文献

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水平紧密接触品字形三圆管自然对流换热的数值模拟

Numerical simulation of laminar natural convection heat transfer from three horizontal attached cylinders

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