计算物理 ›› 2021, Vol. 38 ›› Issue (1): 57-68.DOI: 10.19596/j.cnki.1001-246x.8170

• 研究论文 • 上一篇    下一篇

格子Boltzmann方法模拟填充纳米流体三角形腔内的自然对流

袁俊杰, 叶欣, 单彦广   

  1. 上海理工大学能源与动力工程学院, 上海 200093
  • 收稿日期:2019-11-11 修回日期:2020-01-14 出版日期:2021-01-25 发布日期:2021-01-25
  • 通讯作者: 单彦广,E-mail:shan@usst.edu.cn
  • 作者简介:袁俊杰(1997-),硕士研究生,主要从事传热传质及数值模拟技术研究,E-mail:1143852985@qq.com
  • 基金资助:
    国家自然科学基金(51676130)资助项目

Natural Convection in Triangular Cavity Filled with Nanofluid: Lattice Boltzmann Simulation

YUAN Junjie, YE Xin, SHAN Yanguang   

  1. School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
  • Received:2019-11-11 Revised:2020-01-14 Online:2021-01-25 Published:2021-01-25

摘要: 采用格子Boltzmann方法研究填充水-氧化铝纳米流体的等腰直角三角形腔体中的自然对流。讨论瑞利数、颗粒体积分数、热源位置等因素对对流换热的影响,以及不同纳米流体模型对模拟结果的影响。结果表明:在低瑞利数下,随着热源在左壁面向上移动,换热效率逐渐增加。而在高瑞利数(Ra=106)时,观察到相反的现象;采用单相纳米流体模型,模拟表明热壁面平均努塞尔数比率随着体积分数的增加近似线性增加。采用改进的纳米流体模型,结果显示平均努塞尔数比率随着体积分数的增加而增大,但是平均努塞尔数比率的变化斜率逐渐减小。改进模型模拟的换热效率比单相模型高,这是因为改进模型考虑了粒子间作用力及换热,更符合实际情况。

关键词: 格子Boltzmann方法, 三角形腔体, 纳米流体, 自然对流

Abstract: Lattice Boltzmann method was used to study natural convection in an isosceles right-angled triangular cavity filled with water-alumina nanofluids. Effects of Rayleigh number, particle volume fraction, heat source location and other factors on convective heat transfer are discussed, as well as effects of nanofluid models on simulation results. It shows that at low Rayleigh numbers, as the heat source moves upward on the left wall, the heat transfer efficiency gradually increases. At high Rayleigh number (Ra=106), the opposite phenomenon was observed. In a single-phase nanofluid model, simulation results show that the average Nusselt number ratio of the hot wall surface increases approximately linearly with the increase of volume fraction. An improved nanofluid model results show that the average Nusselt number ratio increases with the increase of volume fraction, but the slope of the average Nusselt number ratio decreases gradually. The heat transfer efficiency simulated with the improved model is higher than that of the single-phase model. This is because the improved model considers force between particles and heat transfer, which exists in actual situation.

Key words: lattice Boltzmann method, triangular cavity, nanofluid, natural convection

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