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Journal of Porous Media
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ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v16.i9.50
pages 837-855

LATTICE BOLTZMANN METHOD FOR MODELLING HEAT AND MASS TRANSFERS DURING DRYING OF DEFORMABLE POROUS MEDIUM

Hussein El Abrach
Monastir University, National School of Engineers, Ibn Eljazzar Street, 5019, Monastir, Tunisia
Hacen Dhahri
Laboratory of Thermal and Energy Systems Studies, National School of Engineers, Monastir University, Monastir, Tunisia
Abdallah Mhimid
Laboratory of Thermal and Energetic Systems Studies (LESTE) at the National School of Engineering of Monastir, 5019 Ibn Eljazzar Street, University of Monastir

RÉSUMÉ

The present paper deals with heat and mass transfer during drying of a deformable saturated porous medium. The considered sample walls are maintained to a convective heat flux. The water is evaporated via the top and bottom walls of the sample. In modelling the liquid flow, the Darcy−Brinkmann extended model is incorporated in the momentum equation. Therefore the solid deformation is assumed to be characterized by a modified Darcy model. The model for the energy equation was based on the local thermal equilibrium assumption, between the liquid and the solid phases. The lattice Boltzmann method (LBM) is used to solve the differential system of equations. A comprehensive analysis of the influence of the Darcy number, the thermal conductivity ratio, and the heat capacity ratio on macroscopic fields is investigated throughout this work.


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