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The effect of Rayleigh number on laminar natural convection heat and mass transfer within a vertical rectangular enclosure filled with a Newtonian fluid is explored numerically, considering internal heat generation alongside Soret and Dufour effects. This study employs the lattice Boltzmann method with a multiple-relaxation-time model, focusing on a specific scenario where thermal and solutal buoyancy forces are equal ( \(N=1\) ), and the ratio of internal to external Rayleigh numbers is unity ( \({Ra}_{I}/{Ra}_{E}=1\) ). The study is governed by a Prandtl number of \(Pr=0.71\) , a Lewis number of \(Le=2\) , and external Rayleigh numbers ranging from \(Ra={10}^{3}\) to \({10}^{5}\) , with three combinations of Soret ( \(Sr\) ) and Dufour ( \(Du\) ) parameters: ( \(Sr\) , \(Du\) ) = (0, 0), (-0.5, -0.5) and (0.5, 0.5). The results of the study indicate that increasing the external Rayleigh number within the tested range significantly impacts flow characteristics, heat transfer and mass transfer. This increase also highlights how changes in other key parameters affect these processes.

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Thermosolutal Convection in a Rectangular Cavity with Soret and Dufour Effects and Internal Heat Generation: Analysis of Aiding Buoyancy with Equal Solutal and Thermal Forces

  • 会议论文

  • 发表日期：

    2026年

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  • Safae Hasnaoui,
  • Ismail Filahi,
  • Abdelkhalek Amahmid,
  • Abdelghani Raji,
  • Khalid Chtaibi,
  • Mohammed Er-Raki,
  • Mohammed Hasnaoui

摘要

The effect of Rayleigh number on laminar natural convection heat and mass transfer within a vertical rectangular enclosure filled with a Newtonian fluid is explored numerically, considering internal heat generation alongside Soret and Dufour effects. This study employs the lattice Boltzmann method with a multiple-relaxation-time model, focusing on a specific scenario where thermal and solutal buoyancy forces are equal ( \(N=1\) ), and the ratio of internal to external Rayleigh numbers is unity ( \({Ra}_{I}/{Ra}_{E}=1\) ). The study is governed by a Prandtl number of \(Pr=0.71\) , a Lewis number of \(Le=2\) , and external Rayleigh numbers ranging from \(Ra={10}^{3}\) to \({10}^{5}\) , with three combinations of Soret ( \(Sr\) ) and Dufour ( \(Du\) ) parameters: ( \(Sr\) , \(Du\) ) = (0, 0), (-0.5, -0.5) and (0.5, 0.5). The results of the study indicate that increasing the external Rayleigh number within the tested range significantly impacts flow characteristics, heat transfer and mass transfer. This increase also highlights how changes in other key parameters affect these processes.