title: Lattice Boltzmann model for incompressible axisymmetric thermal flows through porous media.
abstract: The present work proposes a simple lattice Boltzmann model for incompressible axisymmetric thermal flows through porous media. By incorporating forces and source terms into the lattice Boltzmann equation, the incompressible Navier-Stokes equations are recovered through the Chapman-Enskog expansion. It is found that the added terms are just the extra terms in the governing equations for the axisymmetric thermal flows through porous media compared with the Navier-Stokes equations. Four numerical simulations are performed to validate this model. Good agreement is obtained between the present work and the analytic solutions and/or the results of previous studies. This proves its efficacy and simplicity regarding other methods. Also, this approach provides guidance for problems with more physical phenomena and complicated force forms.
authors.affiliation: Laboratory of Thermal and Energetic Systems Studies (LESTE) at the National School of Engineering of Monastir, University of Monastir, Tunisia.|Institut PPRIME (UPR CNRS 3346), Dpartement Fluides-Thermique-Combustion, ENSMA, 1 av. Clment Ader e BP40109, 86961 Futuroscope-Chasseneuil, France.
authors.forename: Kods
authors.initials: K
authors.lastname: Grissa
authors.affiliation: Laboratory of Thermal and Energetic Systems Studies (LESTE) at the National School of Engineering of Monastir, University of Monastir, Tunisia.
authors.forename: Raoudha
authors.initials: R
authors.lastname: Chaabane
authors.affiliation: Laboratory of Thermal and Energetic Systems Studies (LESTE) at the National School of Engineering of Monastir, University of Monastir, Tunisia.
authors.forename: Zied
authors.initials: Z
authors.lastname: Lataoui
authors.affiliation: Institut PPRIME (UPR CNRS 3346), Dpartement Fluides-Thermique-Combustion, ENSMA, 1 av. Clment Ader e BP40109, 86961 Futuroscope-Chasseneuil, France.
authors.forename: Adel
authors.initials: A
authors.lastname: Benselama
authors.affiliation: Institut PPRIME (UPR CNRS 3346), Dpartement Fluides-Thermique-Combustion, ENSMA, 1 av. Clment Ader e BP40109, 86961 Futuroscope-Chasseneuil, France.
authors.forename: Yves
authors.initials: Y
authors.lastname: Bertin
authors.affiliation: Laboratory of Thermal and Energetic Systems Studies (LESTE) at the National School of Engineering of Monastir, University of Monastir, Tunisia.
authors.forename: Abdelmajid
authors.initials: A
authors.lastname: Jemni