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The aim of this work is to study numerically the natural convection in a square cavity filled with water, \({P}_{r}\) = 6.62. The cavity is uniformly cooled by its right vertical wall and uniformly heated by a hot chip of h = 0.6 \(\times\) H on the left vertical wall, while the other walls are thermally insulated. The Boltzmann lattice method based on the BGK model is used to solve the problem. The results are presented in the form of streamlines, isotherms, and temperature and velocity profiles along the cavity at mid-height, accompanied by the calculation of the average Nusselt number on the right cold wall. According to our results, the position of the heated chip significantly influences fluid flow and heat transfer in the cavity. Indeed, a low chip position (LB) promotes greater heat transfer, mainly due to natural convection.

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Analysis of Natural Convection Using the Lattice Boltzmann Method (LBM)

  • 章节

  • 发表日期：

    2026年

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  • Mohsine Qaffou,
  • Youness Ighris,
  • Yassine Bouhouchi,
  • Younes Oulahou,
  • Meryem Maiss,
  • Mohamed Hssikou,
  • Jamal Baliti

摘要

The aim of this work is to study numerically the natural convection in a square cavity filled with water, \({P}_{r}\) = 6.62. The cavity is uniformly cooled by its right vertical wall and uniformly heated by a hot chip of h = 0.6 \(\times\) H on the left vertical wall, while the other walls are thermally insulated. The Boltzmann lattice method based on the BGK model is used to solve the problem. The results are presented in the form of streamlines, isotherms, and temperature and velocity profiles along the cavity at mid-height, accompanied by the calculation of the average Nusselt number on the right cold wall. According to our results, the position of the heated chip significantly influences fluid flow and heat transfer in the cavity. Indeed, a low chip position (LB) promotes greater heat transfer, mainly due to natural convection.