格子Boltzmann方法分析加热尺寸和瑞利数对可变形开口腔内自然对流的影响

doi:10.19596/j.cnki.1001-246x.8046

摘要/Abstract

摘要： 采用格子Boltzmann方法对可变形腔体内自然对流问题进行数值研究，给出平均努赛尔数的经验关系式.腔体左壁加热长度分为左壁面的整个区域（H）和左壁面的中间区域（0.5H）两种情况，右壁向外界环境开放，上下边界绝热且可以上下移动，以此调节右出口尺寸.主要研究瑞利数（10⁴ ≤ Ra ≤ 10⁶），右出口尺寸（1.0H ≤ L ≤ 2.0H），左壁加热尺寸（L_h=0.5H或L_h=H）对腔体内等温线、流线、局部努塞尔数和平均努赛尔数的影响.结果表明：腔体内换热随着瑞利数的增大越来越强烈，表现为椭圆形准静止区域更加靠近上绝热壁，且热分层厚度逐渐变小，平均努赛尔数增加.而右出口尺寸的增加，对于两种加热尺寸下腔内的换热效果有不同程度影响，其中与加热尺寸为左壁面的全部区域L_h=H相比，加热尺寸为左壁面的中间情况L_h=0.5H时，右侧开口尺寸的增加对换热效果的影响不显著.此外，左壁加热尺寸为0.5H时显示出比加热尺寸为H时更高的平均传热效率.最后，针对不同的加热尺寸，提出加热面平均努赛尔数与Ra数及右壁面开口尺寸L^*之间函数关系的经验预测，拟合效果满足工程实践与设计需要.

关键词: 格子Boltzmann方法, 自然对流, 加热腔体, 瑞利数, 努赛尔数

Abstract: Natural convection problem in a deformable outlet cavity is studied with lattice Boltzmann method. Heated size at left wall are set to two conditions: The whole wall (H) and the middle wall (0.5H). The right wall is open to external environment. The upper and lower boundaries are adiabatic and their right end can be moved up and down to adjust size of the right outlet. Effects of Rayleigh number (10⁴ ≤ Ra ≤ 10⁶), the right exit size (1.0H ≤ L ≤ 2.0H), the left wall heating size (L_h=0.5H or L_h=H) on streamlines, isothermal lines, local Nusselt numbers and average Nusselt numbers are investigated. It shows that heat transfer in the cavity increases with the increase of Rayleigh number, which manifests as size of elliptical quasi-stationary region in the cavity increases and is closer to the upper and lower adiabatic boundaries. Thickness of thermal stratification is gradually reduced and average Nusselt number is increased. However, increase of the right outlet has a different degree of influence on heat transfer effect in the cavity. As the heating size is in the middle of the left wall surface, size of the right side opening does not significantly affect the heat exchange. In addition, at the left wall heating size of 0.5H it shows a higher average heat transfer efficiency. An empirical prediction of functional relation between average Nusselt number and control parameters is proposed. The fitting function satisfies practice and design in projects.

Key words: lattice Boltzmann method, natural convection, heating cavity, Rayleigh number, Nusselt number

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TK124

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唐古月, 娄钦, 李凌. 格子Boltzmann方法分析加热尺寸和瑞利数对可变形开口腔内自然对流的影响[J]. 计算物理, 2020, 37(3): 263-276.

TANG Guyue, LOU Qin, LI Ling. Influence of Heating Size and Rayleigh Number on Natural Convection in a Deformable Open Cavity:Lattice Boltzmann Method[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(3): 263-276.

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格子Boltzmann方法分析加热尺寸和瑞利数对可变形开口腔内自然对流的影响

Influence of Heating Size and Rayleigh Number on Natural Convection in a Deformable Open Cavity:Lattice Boltzmann Method

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[1]	冯舒婷, 戴厚平, 宋通政. 二维空间分数阶反应扩散方程组的格子Boltzmann方法[J]. 计算物理, 2022, 39(6): 666-676.
[2]	刘嘉鑫, 郑林, 张贝豪. 多孔介质方腔内双扩散自然对流熵产的格子Boltzmann模拟[J]. 计算物理, 2022, 39(5): 549-563.
[3]	林品亮, 冯欢欢, 董宇红. 具有多孔介质覆面层的柱体绕流流场分析[J]. 计算物理, 2022, 39(4): 418-426.
[4]	张巧玲, 景何仿. 三维曲面腔顶盖驱动流的MRT-LBM研究[J]. 计算物理, 2022, 39(4): 427-439.
[5]	陈露, 高明, 梁佳, 王东民, 赵玉刚, 章立新. 润湿梯度作用下液滴在倾斜表面向上运动的格子Boltzmann模拟[J]. 计算物理, 2021, 38(6): 672-682.
[6]	魏雪丹, 戴厚平, 李梦军, 郑洲顺. 一维空间Riesz分数阶对流扩散方程的格子Boltzmann方法[J]. 计算物理, 2021, 38(6): 683-692.
[7]	娄钦, 汤升, 王浩原. 基于格子Boltzmann大密度比模型的多孔介质内气泡动力学行为数值模拟[J]. 计算物理, 2021, 38(3): 289-300.
[8]	梁佳, 高明, 陈露, 王东民, 章立新. 液滴撞击不同湿润性固壁面上静止液滴的格子Boltzmann研究[J]. 计算物理, 2021, 38(3): 313-323.
[9]	袁俊杰, 叶欣, 单彦广. 格子Boltzmann方法模拟填充纳米流体三角形腔内的自然对流[J]. 计算物理, 2021, 38(1): 57-68.
[10]	赵明, 王柯, 余端民. 圆内开缝圆自然对流的Ruelle-Takens混沌道路[J]. 计算物理, 2020, 37(6): 667-676.
[11]	王坚毅, 潘振海, 吴慧英. 微通道内椭球颗粒惯性聚焦行为数值研究[J]. 计算物理, 2020, 37(6): 677-686.
[12]	万启坤, 罗松, 尚文强, 张莹, 刘昊天, 朱宝杰. 不连续冷源布局多孔介质内热流耦合LBM数值模拟[J]. 计算物理, 2020, 37(4): 431-438.
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[15]	孙涛, 刘志斌, 范伟, 秦海杰. 过热液体中蒸汽泡上升过程的格子Boltzmann三维数值模拟[J]. 计算物理, 2019, 36(6): 659-664.