Transport in Porous Media

, Volume 116, Issue 2, pp 473–491 | Cite as

Triple-Diffusive Mixed Convection in a Porous Open Cavity

  • Mehdi Ghalambaz
  • Faramarz MoattarEmail author
  • Abdolreza Karbassi
  • Mikhail A. Sheremet
  • Ioan  Pop


The triple-diffusive mixed convection heat and mass transfer of a mixture is analyzed in an enclosure filled with a Darcy porous medium. The mass transfer buoyancy effects due to concentration gradients of the dispersed components (pollutant components) are taken into account using the Boussinesq approximation model. The governing equations are transformed into a non-dimensional form, and six groups of non-dimensional parameters, including Darcy–Rayleigh number, Peclet number, two Lewis numbers for pollutant components 1 and 2 and two buoyancy ratio parameters for pollutant components 1 and 2, are introduced. The governing equations are numerically solved for various combinations of non-dimensional parameters using the finite element method. The effect of each group of non-dimensional parameters on the pollutant distribution and the heat transfer in the cavity is discussed. The results indicate that the presence of one pollutant component can significantly affect the pollutant distribution of the other component. When the Lewis number of a pollutant component is small, the increase in the bouncy ratio parameter of the proposed component always increases the Nusselt and Sherwood numbers in the cavity.


Mass transfer Three-component mixture Pollutant diffusion Environment 



This work of M.A. Sheremet was conducted as a government task of the Ministry of Education and Science of the Russian Federation, Project Number 13.1919.2014/K. M. Ghalambaz appreciates the financial support of Ahvaz Branch, Islamic Azad University, Ahvaz, Iran. The authors acknowledge the Sheikh Bahaei National High Performance Computing Center (SBNHPCC) for providing computational resources. SBNHPCC is supported by scientific and technological department of presidential office and Isfahan University of Technology (IUT). The authors wish also to express their thanks to the very competent reviewers for the valuable comments and suggestions.


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  • Mehdi Ghalambaz
    • 1
  • Faramarz Moattar
    • 1
    Email author
  • Abdolreza Karbassi
    • 2
  • Mikhail A. Sheremet
    • 3
    • 4
  • Ioan  Pop
    • 5
  1. 1.Department of Environmental Engineering, Ahvaz BranchIslamic Azad UniversityAhvazIran
  2. 2.Graduate Faculty of EnvironmentUniversity of TehranTehranIran
  3. 3.Department of Theoretical Mechanics, Faculty of Mechanics and MathematicsTomsk State UniversityTomskRussia
  4. 4.Department of Nuclear and Thermal Power PlantsTomsk Polytechnic UniversityTomskRussia
  5. 5.Department of MathematicsBabeş-Bolyai UniversityCluj-NapocaRomania

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