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Etude numérique des transferts de masse et de chaleur dans un canal contenant un matériau poreux de section carrée

Abstract : The characteristics of mass and heat transfers by forced convection during liquid film evaporation in the channel with a built in porous square cylinder in a cross flow are investigated numerically. The main objective of the present study is to evaluate the effect of introducing a porous square cylinder on the heat and mass transfer. Specifically, this study examines the influence of parameters such as the relative humidity of the ambient air, the air inlet temperature, the imposed heat flux, the variation of the cylinder position, blockage ratio and Reynolds number on the performance of the evaporation at the channel wall. A comparison between the two configurations, with and without, porous square cylinder has been performed to highlight the effect of its addition. To achieve this, we solved the classic equation of forced convection and the Darcy-Brinkman-Forchheimer model in the porous media. We find that the insertion of a porous square cylinder in the channel could make the flow more disturbed and significantly improve mass and heat transfer rates at the channel walls. The heat and mass transfer enhancements is greater with a decrease of the Darcy number and for γ=1 when the porous obstacle is placed in the middle of the channel. It is also greater with a decrease of the temperature and relative humidity of the air at the inlet. At Da = 10-6, the flow does not penetrate through the porous cylinder, the flow pattern is similar to that of a solid square cylinder. Finally, we propose correlations that allow us to define the Sherwood and Nusselt numbers based on the Reynolds, Biot numbers and the blockage ratio.
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Submitted on : Friday, December 21, 2018 - 11:15:07 AM
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Hamza Mahdhaoui. Etude numérique des transferts de masse et de chaleur dans un canal contenant un matériau poreux de section carrée. Autre [cond-mat.other]. Université de Perpignan; Université de Carthage (Tunisie), 2018. Français. ⟨NNT : 2018PERP0037⟩. ⟨tel-01963210⟩

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