Triple-Diffusive Natural Convection in a Square Porous Cavity

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• 作者：Mehdi Ghalambaz ; Faramarz Moattar ; Mikhail A. Sheremet…
• 关键词：Triple diffusion ; Natural convection ; Porous media ; Numerical analysis ; Finite element method
• 刊名：Transport in Porous Media
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：111
• 期：1
• 页码：59-79
• 全文大小：3,088 KB
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• 作者单位：Mehdi Ghalambaz (1)
  Faramarz Moattar (2)
  Mikhail A. Sheremet (3) (4)
  Ioan Pop (5)
  
  1. Department of Environmental Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran
  2. Department of Environmental Engineering, Graduate School of the Environment and Energy, Science and Research Branch, Islamic Azad University, Tehran, Iran
  3. Department of Theoretical Mechanics, Faculty of Mechanics and Mathematics, Tomsk State University, Tomsk, Russia, 634050
  4. Institute of Power Engineering, Tomsk Polytechnic University, Tomsk, Russia, 634050
  5. Department of Applied Mathematics, Babeş-Bolyai University, 400084, Cluj-Napoca, Romania
  
• 刊物类别：Earth and Environmental Science
• 刊物主题：Earth sciences
  Geotechnical Engineering
  Industrial Chemistry and Chemical Engineering
  Civil Engineering
  Hydrogeology
  Mechanics, Fluids and Thermodynamics
  
• 出版者：Springer Netherlands
• ISSN：1573-1634

文摘

The triple-diffusive flow, heat and mass transfer in a cavity filled with a porous medium and saturated with a mixture is theoretically studied in a cavity with differential temperature and concentrations at the side walls. The effect of buoyancy forces due to mass transfer of phases is also taken into account using the Boussinesq approximation. The governing equations are transformed into a non-dimensional form and numerically solved using the finite element method. Five groups of non-dimensional parameters including the Rayleigh number, the Lewis numbers for phases 1 and 2, and the buoyancy ratio parameters for phases 1 and 2 are obtained. The effect of each group of non-dimensional parameters on the heat and mass transfer in the cavity is discussed. The results show that for specific values of the Lewis number of one phase, the heat transfer of the mixture and the mass transfer of the other phase can be maximum. The presence of one phase could reduce or enhance the mass transfer of the second phase depending on the Lewis number of phases.